EP1692560A2 - Variable optical arrays and variable manufacturing methods - Google Patents

Abstract

The invention divides the lens focusing process into two or more surfaces that incorporate multiple curved axial optic elements on each surface. The axial optics may be manufactured by molding, machining, or by suspended film (248). If suspended film is used, then both sides of an optic may have a suspended film that is transparent. Alternatively, one side of the suspend film optic may use a reflective film.

Description

Variable Optical Arrays and Variable Manufacturing Methods

Cross-reference to related applications: This application claims the benefit of U.S. Provisional Application No. 60/523076 titled Optical Anays That Can Be Easily Manufactured Over a Large Range of Sizes And Densities filed on November 18, 2003. The disclosure of the above application is incoφorated herein by reference in its entirety. This application is related to U.S. Provisional Application No. 60/523006 titled Reflective Multi-Image Surface filed on November 18, 2003, and further filed as a U.S. Non- Provisional Application filed on November 18, 2004. This application is related to U.S. Provisional Application No. 60/536861 titled Spatially Multiplexed Image Projector filed on January 16, 2004. This application is related to a U.S. Provisional Application titled Catadioptric Projection Screen filed on May 25, 2004. This application is related to U.S. Application No. 10/961834 titled Projection-Receiving Surface That Functions in Strong Ambient Light filed on October 7, 2004.

Federally Sponsored Research: Not Applicable.

Sequence Listing or Program: Not Applicable. Background of the Invention

1. Field of the Invention The present invention relates to lens anays, methods of making lens anays, and the construction of various lens array systems.

2. Related Art Optical arrays using curved axial elements have several applications. However, the past efforts have been directed to the use of such elements as privacy glass for shower doors (a series of cylindrically-shaped glass joined in an anay). Heretofore, there has been no known effort to make such elements into any lens of optical quality elements. Even if there had been such an effort, there is a difficulty in producing a large number of lens elements in the arrays, an inability to produce anays with very small lenses, and the troubles associated with changing the characteristics of the lenses after an array-making tool has been fabricated. These are all shortcomings that cunently limit the utility and scope of using optical lens arrays. Making such a tool is extremely expensive, extremely difficult, and not amenable to modification once it is made.

Summary of the Invention This invention overcomes the aforementioned shortcomings by taking a completely different approach. Specifically, the invention divides the lens focusing process into two or more surfaces that incorporate multiple axial optic elements on each surface; where "axial optics" includes the use of cylindrical lenses as examples. In the case of cylindrical lenses, if the lenses are cut transverse to the axis of the cylinder, the cut will expose the same contour as cross cuts made elsewhere along the lens. Although this invention is by no means limited to cylindrical lenses, they are convenient and easily understood examples of axial optics. Similarly, although this invention encompasses energies other than light (sound and radio waves, for example) the discussion herein will be limited to light because visual systems are readily familiar. The axial optics may be manufactured by molding, machining, or by suspended film. If suspended film is used, then there are several options. First, both sides of an optic may have a suspended film that is transparent. This leads to practical applications including a multi-image device, and a rear-projection screen, both of which are described in greater detail below. Second, one side of the optic may use a reflective film, leading to practical applications such as a front projection screen described in greater detail below and a multi- image device of the type described in a co-pending related US patent application that is titled "Reflective Multi-Image Surface", filed on November 18, 2004. The powerful practical impact of the present invention is that a great number of optical elements may be created in a small area (approximately 90,000 discrete lenses per square foot), and the lens curvature may be varied without necessarily having to change the tooling for the lens elements. Further areas of applicability of the present invention will become apparent from the detailed description provided hereinafter. It should be understood that the detailed description and specific examples, while indicating the preferred embodiment of the invention, are intended for puφoses of illustration only and are not intended to limit the scope of the invention.

Brief Description of the Drawings The present invention will become more fully understood from the detailed description and the accompanying drawings, wherein: Figure 1A is an elevated view of a first axial optic element having a curved surface that receives light, and a flat surface where the light exits, and the exiting light is focused into a line at a focal surface. Figure IB is an elevated view of a second axial optic element having a flat surface that receives light, and a curved surface where the light exits, and the exiting light is focused into a line at a focal surface. Figure IC is an elevated view showing a physical blockage of light. Figure ID is an elevated view showing a partial physical blockage of light. Figure 2A is an elevated view of the first and second axial optic elements set perpendicularly with respect to each other, oriented with curved surfaces towards each other, and further illustrating a single focal point for light passing through both axial optic elements. Figure 2B is a top view of Figure 2A, wherein the first and second axial optic elements set peφendicularly with respect to each other, oriented with curved surfaces towards each other, and further illustrating a single focal point for light passing through both axial optic elements. Figure 2C is a side view of Figure 2A where the first and second axial optic elements are set peφendicularly with respect to each other, oriented with curved surfaces towards each other, and further illustrating a single focal point for light passing through both axial optic elements. Figure 3A is an elevated view of the first and second axial optic elements set peφendicularly with respect to each other, oriented with flat surfaces towards each other, and further illustrating a single focal point for light passing through both axial optic elements. Figure 3B is a top view of Figure 3A, wherein the first and second axial optic elements set peφendicularly with respect to each other, oriented with curved surfaces towards each other, and further illustrating a single focal point for light passing through both axial optic elements. Figure 3C is a side view of Figure 3A, wherein the first and second axial optic elements set peφendicularly with respect to each other, oriented with curved surfaces towards each other, and further illustrating a single focal point for light passing through both axial optic elements. Figure 4 is an elevated view of first and second axial optic elements disposed in a crossed relationship, oriented with the curved surfaces towards each other, wherein light is being collimated as it originates from a light source and passes through two crossed lenses. Figure 5 is an elevated view of an array of axial lens elements. Figure 6 A is an elevated view of a first array of axial lens elements, and a second anay of axial optic elements set peφendicularly with respect to each other, oriented with curved surfaces towards each other, and further illustrating a series of single focal points for light passing through both axial optic elements. Figure 6B is another elevated view of the arrays of axial lens elements of Figure 6B. Figure 6C is a top view of Figure 6A, wherein the first and second anay of axial lens elements are disposed peφendicularly with respect to each other, oriented with curved surfaces towards each other. Figure 7A is an elevated view of a first anay of axial lens elements having a flat surface closest to the rounded surface of a second anay of axial lens elements, wherein the first array is oriented above and peφendicularly with respect to the second anay, and further illustrating an elevated view of the resulting projection. Figure 7B is a side view of the embodiment shown in Figure 7A. Figure 7C is a top view of the embodiment shown in Figure 7A. Figure 8A is a top view of the overlapping area of first and second axial lens element arrays oriented peφendicularly, with curved surfaces facing each other, and a hidden view of the resulting projection. Figure 8B is an elevated view of first and second axial lens element arrays oriented peφendicularly as shown in Figure 8A, with curved surfaces facing each other, and an elevated view of the resulting projection. Figure 8C is a top view of first and second axial lens element anays oriented at a 45 degree orientation, with curved surfaces facing each other, and a hidden view of the resulting projection. Figure 8D is an elevated view of first and second axial lens element anays oriented at a 45 degree orientation as shown in Figure 8C, with curved surfaces facing each other, and an elevated view of the resulting projection. Figure 8E is a top view of a top view of first and second axial lens element arrays oriented in registry, with curved surfaces facing each other, and a hidden view of the resulting projection. Figure 8F is an elevated view of first and second axial lens element arrays oriented in registry as shown in Figure 8E, with curved surfaces facing each other, and an elevated view of the resulting projection. Figure 9A is a side view of a first curved surface for an axial optical element anay. Figure 9B is a side view of a second curved surface for an axial optical element array Figure 9C is a side view of a third curved surface with baffles for an axial optical element array. Figure 9D is a side view of a series of flat, apex-forming surfaces for an axial optical element array. Figure 9E is a side view of a series of non-uniform curved surfaces for an axial optical element array. Figure 10 illustrates an elevated view of a film suspended on a tool. Figure 11 illustrates an elevated view of a mold with external attachments. Figure 12 illustrates an elevated assembly view of the mold of Figure 11. Figure 13 illustrates a rear projection screen system using the crossed optical array of the present invention. Figure 14 illustrates the general concept of the class of practical application of a spatially- multiplexed image deconvolver with the respective positions of a light source, a Composite Image, a Lens Array, and two different Viewable Images within two Viewer Angular Regions, as well as example rays coming from selected Lens Source Groups. Figure 15 illustrates a 9-by-9 array of pixels, totaling to 81 pixels, which make up the Composite Image, and one Source Image, which is made up of nine pixels. Figure 16 illustrates the general characteristic of a lens when an image is placed at its focal point, the relation of the pixel placements in the Composite Image to the Viewable Image when central rays come from each of three pixels, and the anangement of the pixels within each Lens Source Group being very specific, the placement of the pixel being in accord with the characteristic of refractive optics such that its energy is sent in the same direction as the other pixels that make up the source image to be sent toward a viewer. Figure 17 illustrates the profile of three lenses, matched in focal length, size and location relative to the elements of the Composite Image, with each lens separating the image elements into different directions as illustrated in Figure 16. In the example illustrated by the figures, a 9-by-9 Lens Anay, overlaid on a 9-by-9 Lens Source Group, would deconvolve the spatially multiplexed elements in Figure 14 to the nine individual Source Lmages, now Viewable Images. Figure 18 illustrates a one-dimensional lens array. Figure 19 illustrates a two-dimensional lens array. Figure 20 illustrates the basic idea of glass bead screens. Figure 21 illustrates the crosstalk issues associated with glass beads Figure 22 illustrates incoming projector light passing into the cylindrical lenses and reflecting back out through the same lenses which are backed by a specular reflector. Figure 23 illustrates one example of a film-suspension arrangement for creation of the closely-spaced cylindrical lens anay. Figure 24 illustrates the overall concept of clear film adhered with cylindrical moφhology to bulk clear refractive fill material plus reflective film adhered cylindrical moφhology to the opposite side of the bulk fill. Figure 25A illustrates a front elevated view of a typical individual cell, in which the effect of the arrangement in the invention is to produce a matrix of projection screen reflective cells with many advantages over traditional front projection screen technology, such as high-gain improved contrast and multiple imaging capabilities. Figure 25B illustrates a side elevated view of the cell of Figure 25A. Figure 25C illustrates an elevated side view of the cell of Figure 25A. Figure 26 illustrates a highly flexible screen where small cell size leads to a thin, flexible screen.

Detailed Description of the Preferred Embodiments The following description of the prefened embodiment(s) is merely exemplary in nature and is in no way intended to limit the invention, its application, or uses. AXIAL OPTICS It is helpful to explain the concept of axial optics, and how axial optics may be obtained by the present invention before proceeding in further detail with other aspects of the invention. Axial optics may be obtained by machining, or by molding, as described below. First, axial optics may be obtained by machining. Specifically, in a milling operation a piece of optic-compatible material can be mounted onto a milling bed and fed into a cutting tool (such as a ball mill or other cutting shapes) along a continuous axis to obtain a continuous cut that is linear when examined from at least one viewing perspective. The milling bed can then be offset to produce a cut that is also linear when observed with the same aforementioned perspective, and is nearly parallel to the first. These parallel cuts produce an axial optic. Continuing with additional parallel cuts can produce an anay of axial optics. Another mechanical way to obtain axial optics is the extrusion process. An axial optic can be made via extrusion, whereas a spherical optic cannot be made via extrusion. The extrusion mold can be machined longitudinally, and then polished. The significance of this invention's use of axial optics will be recognized for the aforementioned example of one- million spherical lenses on a square-inch surface as discussion continues below and it is shown that by use of overlays of axial optics the manufacturing problems are reduced many thousand-fold. Broadly speaking, many techniques are suited to production of the axial optic surfaces. Included among these is fabrication of tooling to be used in replication of the appropriately surfaced pieces of material. Milling, broaching, casting, pressing, stamping, etching, vacuum forming, electroforming, and extruding are a few of the available techniques for making tooling. These tools can be used to fabricate the separate pieces via material addition to cavities (injection, casting, deposition, precipitation, photo-processes, extrusion, etc.), via material extraction (milling, broaching, etching, photo-processes, etc.), and via material displacement (rolling, flat pressing, stamping, melting to form, etc.).

I. CROSSED AXIAL OPTICS AND METHODS OF MANUFACTURE The present invention divides the two-axis focusing process exhibited by standard optics (camera lenses, projector lenses, microscope lenses, etc.) into two or more one-axis stages by using two or more axial optic elements with two or more of the axes set more or less crosswise to one another. Employing crossed axial optics in such a manner makes manufacture of lens anays much more practical and economical than with standard two-axis lens anay manufacture. In Figures 1 and IB, parallel rays of light are shown entering two lenses peφendicularly from above. (Impinging light rays being parallel to each other and/or striking the lens surface at a peφendicular are not requirements of this invention, but merely a convenient situation for explanation of the concepts involved.) The cylindrical lens focuses the light into a line. That is, the effect of focusing is in one direction that is aligned with the axis of the lens cylinder. The light rays converge to a concentration at a specific distance from the lens in accord with various properties, including, but not limited to, the curvature of the cylinder and the refractive index of the material from which the lens is made. After the light is concentrated to a line, if it is not interrupted by a physical blockage, the light (after already having come into focus) continues by diverging away from the point, the divergence angle being consistent with the angle of the original incoming ray. On one side of the concentrated line, the light converges on it from different directions. On the other side of the concentrated line, the light diverges as it continues to travel. However, this invention includes cases wherein a physical blockage 15 and 17, in whole or in part, is used. Partial physical blockage 15 and 17 is also included in this invention. Physical blockage 15 and 17 is shown in Figures IC and ID. Non-limiting examples of uses of partial physical blockage 15 and 17 include the control of lens-effective apertures, the interaction of incoming light with pixels of existing images via intermediate focal planes that contain the images in a transmissive and/or reflective form, and encoding of information via spatial filtering. Examples of physical blockage material include, but are not limited to, photographic film, CCD video chips, and any other photosensitive material. Also, partial blockage 15 and 17 may be desired. An example case of partial blockage material 15 and 17 is an array of color filters. These filters would be installed in the anay focal plane to make a composite picture which is the summation of a pattern of the incoming light and a pattern at the focal point of the array. This invention is not limited by this example, as there are many other possibilities, including the use of neutral color blockers instead of colored blockers. Additional examples of selective (partial) blockage of the anay is usage as an encoder/decoder of image-based information, slide transparency film, and photographic film - so it can be seen that partial blockage and full blockage 15 and 17 may refer to either the light blocking or the physical position of an element, and thus may be the result of either a somewhat transparent inteφositioning of an element, or a fully light-blocking element in certain areas for spatial filtering, or a combination. If the first cylindrical lens 14a and second cylindrical lens 14b in Figures 1A and IB are aligned orthogonally with respect to each other, are stacked vertically, and aligned transversely to the path of incoming light, shown generally at 12, (and as shown in Figures 2A, 2B, 2C, 3A, 3B, 3C and 4), then first lens 14a focuses incoming light 12 to exit light lines 16 which forms line 18. The combined effect of both lenses 14a, 14b will be to focus the light to a spot 22. This spot 22 approximately represents the crossing point of the two exit light lines 16 associated with each of the two lenses when considered independently. The incoming light 12focused to spot 22 will be that which impinges an area approximately defined by the overlap area of the two cylindrical lenses. Accordingly, the crossed cylindrical lenses can operate together as a collector of light, as depicted in Figures 2A, 2B, 2C and 3A, 3B, and 3C. Figures 2A, 2B and 2C show the two lenses with their curvatures toward each other, and Figures 3A, 3B, and 3C show the combination with the flats toward each other. Here it should be noted that the example lenses need not have curvature on one side and be flat on the other. In fact, putting the crossed cylindrical arrays on opposite sides of the same piece of material is nearly equivalent to the anangement shown in Figure 3A, 3B, and 3C. It should be further noted that the lenses need not be convex, although that is the common shape in the figures used for discussion of this invention. Further, the invention may have any number of axial-optics surfaces stacked in succession, so long as that number is at least two. Figure 4 illustrates that the crossed lens anay can be used to collimate light as readily as it can be used to collect light. In Figure 4, light 28 emanating from a light source 26, placed at the composite focal point of the two lenses 14a and 14b, is allowed to radiate towards lens 14a. Light 16 then exits first lens 14b and diverges and collimates. CoUimated light 30 exits from second lens 14a. The light that falls under the influence of the area where the two lenses overlap will be coUimated 30 more than it was when light 28 was first radiating outward from the source 26. Figure 5 shows that the surface on a piece of material can be provided with more than one axial optic. In this figure, an axial lens anay 32 comprising five cylindrical lenses is shown in abutment to one another. (It is not a requirement of this invention that all the axial optics on a surface be the same in cross section as seen in Figure 9A-9E.) As with the individual cylindrical lenses discussed earlier, a piece of material with multiple cylindrical lenses 32a can be crossed with another piece having multiple cylindrical lenses 32b, thereby producing a two-dimensional lens array such as illustrated in Figures A, 6b, and 6C. In this figure, the particular overlay area 20 associated with each cylindrical lens element is a collector of light that produces its own focal spot 24 using the light that falls upon that area 20. There are 25 such individual areas in Figures 6A, 6b, and 6C, resulting from the surfaces of five cylindrical lenses in one array 32a being stacked transversely above the surfaces of five cylindrical lenses in a second array 32b surface. This invention includes configurations where each axial optic on a piece of material is not necessarily the same as other axial optics on the same piece. In Figure 6C the 25 overlap areas are shown bounded by dashed lines. However, every overlap area in Figures 6A, 6b, and 6C does not show impingement with light. This demonstrates that there are instances when it is desirable that the array not have light fall upon every element overlap area 20. Figures 7A, 7B, and 7C illustrate a two-dimensional lens anay 32a, 32b where the application is a collimator of light emanating from many sources 26, each located at the focal spot 22 of the lenses 32a. 32b created by the overlap 20 of the axial optics 32a, 32b. In effect, this condition is the inverse use of the anays 32a, 32b to their use in Figures 6A, 6B and 6C.

The axes of two sets of axial-optics 32a, 32b need not be arranged peφendicularly with respect to one another. For example, continuing with the cylindrical optics illustration, Figures 8E, and 8F show that when the axes are aligned with each other, the result is focus into a series of parallel lines, rather than focus into an array of spots. When the sets are oriented non-parallel, as in Figures 8A-8D, focus into spots begins to take place. However, the spots are not symmetric, as they are with the sets oriented transverse to each other. Thus, in Figures 8A, 8B, 8C, 8D, 8E, and 8F, as the pieces are rotated relative to each other, the resultant convergence of the impinging light moves from circle-like, to ellipse-like, to linear. Similar effects are shown in As mentioned earlier, the axial optics need not have a uniform common shape, nor do they need to have the same "footprint" size, or the same puφose, or sameness of other common features beyond that they can be produced with a continuous linear, circular, or other axial-type process that might be employed. However, it is a common feature in this invention that the desired optical effects support the creation of an anay of independent optical elements. This is true whether the reference is to either axial optics of the set on the face of the same piece of material, or to the individual axial optics on another face. This is an important distinction of this invention relative to other optical systems, such as a Fresnel lens, the puφose of which is to collectively create a singular displacement or focal point for incoming parallel light. A Fresnel optical system, for example, is intended to create only one image of a scene when using one system. Unlike the Fresnel, this invention will support production of a large number of images of a scene when using one system. When an array of 1000 axial optics is crossed with an anay of 1000 axial optics, 1 million lenses are created. Some example cross sections for the axial optics applicable to this invention are shown in Figures 9A, 9B, 9C, 9D, and 9E. These represent some key shaping concepts, though the figure by no means is an exhaustive representation of all the possible embodiments of this invention. Also encompassed by this invention are configurations wherein the axial optics are imbedded within the pieces of materials, such as with linear cavities in plastic, glass or other suitably transparent materials. Additionally, where appropriate, liquids and gases of various refractive and transparency qualities can be flowed within the system to alter the focusing, color, and other characteristics of a lens anay. The current preferred embodiment, which has been built and tested by the inventor, is a design wherein two pieces of axial optics are made by casting resin with axial lenses spaced 1/16" apart and having a focal length of 1/8". The two pieces, both of which use axial optics that are cylindrically shaped, are then crossed, as per Figures 2A, 2b, and 2C or Figures 3A, 3B, and 3C, to produce an array as depicted in Figures 6A, 6B, and 6C and Figures 7A, 7B, and 7C. Although this particular embodiment is currently preferred, the invention is not limited to the shapes, sizes, or manufacturing techniques used in this example. An extremely valuable feature of the invention is that it allows cost effective manufacture of two-dimensional lens anays, and facilitates manufacture of lens anays of a spatial density that would be impractical, if not impossible, using prior optical manufacturing methods. Also, in several embodiments of this invention, the optical characteristics can be readily changed even after fabrication. Applications of the resultant arrays include, but are not limited to, the following optical examples: Optical computing, communication, and coding; rear-screen and front- screen projection for theaters, home entertainment and schools; advertisement signage and scoreboards; "eyeglasses" for military heads-up displays and for virtual reality systems to display a different three-dimensional image for each eye by collimating selected pixels; along with others. As previously indicated this invention is not limited to optical applications. This invention is also applicable to other regions of the electromagnetic spectrum, as well as to acoustic and other mechanical energies.

π. CURVED AXIAL OPTICS USING SUSPENDED FILM Up to this point, optical anays employing machined or molded optics have been discussed. From this point forward, an entirely different way of producing an optic is discussed — suspended film. Then, additional practical applications employing this new suspended film optic are discussed. In Figure 10, a tool 134 is created by making a series of longitudinal cuts to create thin walls 102 spaced at a distance D of preferably 1mm. Tool 134 is shown with v-shaped longitudinal cuts, but can also have square cuts. Holes (not shown) or even grooves, may be placed along the bottom of the cuts to provide communication for a differential pressure V. A sheet of film 104, transparent or reflective, is placed over the walls 102. Then, differential pressure V is applied via the holes (not shown) between the walls 102 to pull the film 104, and a curved axial optic 110 is formed. It is very important to understand that there is no further polishing of the optic that is required in order to have an optical quality surface. Then, in a first embodiment, a polymer 112 may be poured behind the curved axial optic 110, and a permanent axial optic is created, having a light focusing ability as shown in Figure 2A. A prefened polymer material may be obtained from Applied Poleramics, Incoφorated, of Benicia, California. Prefened specific materials from Applied Poleramics are 266 epoxy and AU16 polyurethane, as well as EFM15 and EFM 18 phenolics. In addition, the outside of the optic may be coated for protection of the optic surface, such as, for example, a thin acrylic coating, or a polyethylene coating to prevent oxidation, abrasion or other surface degradation. Such coatings may be purchased from Peabody Laboratories, Inc. located at 1901 S. 54^th Street, Philadelphia, PA 19143, and sold under the trade name PERMALAC. The differential pressure may be varied to vary the curvature of the axial optic. In a second embodiment, a transparent tool 100 may be used with film 104. Here, the curved axial optic is continuously variable in curvature depending upon varying level of differential pressure. When a projected image is focused through the curved axial optic, the curvature of the optic may be changed by changing the level of differential pressure V, thereby yielding a variation in the focus of the image. This has very useful applications when the changing focus is coordinated with either a changing image or a changing viewer location. In any preferred embodiment, any film 104 may be used such as acetate, polyethylene, polypropylene, polycarbonate, or acrylic where the thickness is preferably between .25 mils and 1 mil. When two tools 100 are employed simultaneously, facing each other in a crossed relationship, then it is easily seen that a crossed optical anay is created. Then, the space between the films 104 may be filled with a plastic (the term "plastic" is intended to be used genetically in its broadest sense and not meant to be limited to "polymer"). One prefened plastic is the epoxy referred to above, which because of its low viscosity, pours like water between the films where it is then heated and cured. This approach is used in reference to Figures 11 and 12. In Figures 11 and 12, a mold is shown generally at 116. Mold 116 has as supporting structure leg supports 118, base support 120, stabilization plate 122, upright supports 124, and spacing block 126. Hinges 128 permit easy access to the inner cavity by permitting laterally swinging and removable hinged doors 130. These doors 130 allow production personnel access to all necessary components concerning pre and post curing operations which may include secondary trimming. As better seen in Figure 12, mold 116 has doors 130, radiator 131, radiator gasket 132, vacuum bed 134, and spacing gasket 136. Tool 100 is placed within vacuum bed 134, on each side. As better seen in Figure 11, a temperature sensor array 140 is provided on the exterior of the mold 116, as are external heating sources 142 (fixed onto doors 130 using a high temperature adhesive backing), high temperature fluid inlet hoses 144, high temperature fluid outlet hoses 146, and vacuum hoses 148. In use, film 104 is placed on each of two tools 100 on each side of vacuum bed 134. Doors 130 are swung shut, and the assembly is latched 150. Differential pressure is asserted through vacuum hoses 140 to pull and suspend film 104 into a curved axial optic shape. Both films are pulled away from each other. It should be noted that pressure may in asserted instead of vacuum through vacuum hoses 140. Then, after the plastic, preferably epoxy is poured and cured, a final curved axial optic solid is the result, curved at the outside and sharing a common center. Material sheets (pieces) can be flexible or rigid to varying degrees as appropriate to an application. The sheets can be combined with the use of gravity, adhesives, solvents, vacuum, fusion, pressure, mechanical devices, and other options. Edges of the stacked combinations can be left open or sealed. (Sealing allows for cleanliness and fluid containment; with the fluids being either gas or liquid or a combination of both.) The resultant anay assemblies can be comprised of two or more axially-produced optical layers, with each layer being the same or different in figure, finish, material, or other characteristic suited to the application.

EI.A. TRADITIONAL LENS-TYPE APPLICATIONS The resultant array assemblies can be used by themselves, or in conjunction with mechanical, electronic, or other optical systems. In particular, in the case where both films 104 are transparent, the resultant lens anay may be used with variable axial optic widths in a crossed anay arrangement to conect for astigmatism, provide nano-scale light effect, make adjustments on the order of magnitude of fractions of millimeters per lens, and can collimate on a pixel-by-pixel level.

II.B. REAR PROJECTION SCREEN APPLICATIONS In addition, a very high quality rear projection screen may be manufactured. As seen in Figure 13, a resultant anay assembly can be used to form a rear projection screen 151. Specifically, a rear projection source 152 projects light through rear projection screen 151 which is a crossed optical array, resulting in a viewable image 154. II.C. SPATIALLY MULTIPLEXED EMAGE DECONVOLVER APPLECATIONS As a third class of practical application of the resultant array assembly using transparent films, a spatially multiplexed image deconvolver (a decoder) may be created. In this class of practical application, a method for the deconvolving of a multiplexed image with a lens array, such that viewers within different angle regions will see different individual source images. This represents a major improvement over prismatic techniques that have been used to present more than one picture from the same surface. The number of images can be on the order of magnitude of the hundreds rather than the two or three available with prisms. Also, the images can be selected by angular movements along more than one axis, compared to the one axis restriction of prismatic displays. The ability to achieve 3- dimensional images without specialized eyeglasses also will be greatly enhanced by the invention. Applications include, but are not necessarily limited to, artistic works, advertising, home decoration, packaging, entertainment backdrops, and amusement parks. While the present invention applies to lenticular images and not to hologram images, the present invention has advantages over both prior art systems. To aid in understanding, a definition of terms is provided below to assist in understanding this invention. A Source Image is an individual image whose elements are convolved (intermingled) with elements from other Source Images to form a Composite Image. The viewer sees a specific deconvolved Source Image within a certain range of angles during operation of this invention, the specific image being in accord with the invention's selectable parameters. The invention is most striking when it incoφorates several Source Images, each viewable at different angles, but is capable of functioning with just one Source Image. An element, or pixel, is a "piece" of a Source Image, which is located within a Lens Source Group of the Composite Image, as shown in Figure 15. The Composite Image, also called the Multiplexed Image, is a convolution of all of the Source Images in such a way that the Lens Anay in this invention will allow for deconvolving each Source Image, that is, sorting out, for the viewer, the pixels of each Source Image such that a coherent image is seen. The term also refers to the physical Composite Image, which may be made of various materials, and is located behind the Lens Anay. Generally, the Composite Image, without the aid of the deconvolution provided by the invention, looks to the eye like an incomprehensible collection of random spots. A Lens Source Group is the group of pixels behind a single lens within the Lens Anay. There are generally as many Lens Source Groups as there are individual lenses in the Lens Anay. In the preferred embodiment, a Lens Source Group includes at least one pixel from each Source Image. The Lens Array is the array of lenses that are placed in front of the Composite Image. Each Lens of the Array has beneath it a Lens Source Group that contains conesponding pixels from the Source Images. A Viewable Image is a Source Image as it is seen by a viewer. This image is one of the Source Images, after it has been deconvolved from the other Source Images in the Composite Image by the action of the Lens Anay. Viewer Angular Region refers to the angular range, with respect to the invention, in which a viewer could observe a deconvolved Source Image. That is, it is the region where a Viewable Image can be seen. In Figure 14, the general concept of this class of practical application of the invention is shown. It shows the respective positions of a light source 152, a Composite Image 150, a Lens Anay 156, and two different Viewable Images 154 within two Viewer Angular Regions 158, as well as example rays coming from selected Lens Source Groups. Figure 15A shows a 9-by-9 anay of pixels, totaling to 81 pixels la-9a, lb-9b, lc-9c, ld-9d, le-9e, lf-9f, lg-9g, lh-9h, and li-9i, which make up the Composite Image shown generally at 200. The Figure also shows one Source Image 220, which is made up of nine pixels la-9i. Each pixel la-9i in the Composite Image is a pixel from one of nine different Source Images la-9i. The pixels la-9i from the Source Images are mapped onto the Composite Emage 200 in a specific arrangement. The Composite Image 200 in the Figure is made up of an array of nine Lens Source Groups 210. Each pixel la-9i in each Source Emage 220 is labeled with a number and a lower-case letter. The number identifies a pixel as belonging to a unique Source Image 220, and the letter designates the position of each pixel within the Source Image 220. That is, pixels having the same lower-case letter belong to the same Source Group 210, whereas pixels having the same number belong to the same Source Image 220. For example, all pixels designated with the integer "1" belong to Source Image 1. All pixels designated with the lower-case letter "a" belong to Lens Source Group "a". Pixels 222 are placed into specific Lens Source Groups 210 to achieve coherence of the Source Image 220 once it is deconvolved into the Viewable Image 200. That is, it is not sufficient that the pixels all be sent away from the array with the same direction, they must also be organized positionally appropriate to create the proper reconstruction of the image. Figure 16 shows the relation of the pixel placements in the Composite Image 200 to the Viewable Image 220. The arrangement of the Lens Source Groups 210 within the Composite Image 220 is determined by the letter designation of the pixels that it contains. The arrangement of the Lens Source Groups 210 must correspond to the arrangement of the pixels within the Source Images 220. That is, the relative location of a Lens Source Group 210 within the Composite Image 200 must conespond to the relative location of the pixels la-9i within their Source Images 220. If a pixel la is located in the upper left hand comer of its Source Image 220, the Lens Source Group 210 that contains that pixel la must be located in the upper left hand comer of the Composite Image 200. For example, using the pixels in Figure 16, the Lens Source Group 210 containing pixel la in the Composite Image 200 must be placed in the upper left hand co er of the Composite Image 200 because the location of pixel la in Source Image la is in the upper left hand comer. The anangement of the pixels within each Lens Source Group 210 is very specific, the placement of the pixel being in accord with the characteristic of refractive optics such that its energy is sent in the same direction as the other pixels that make up the source image to be sent toward a viewer, as shown in Figures 16 and 17. It is recognized that there is always some level of bleed during transition of location, but most of the viewing will have no overlap of images in the space for which the image is designed. This example's use of coincident numbers of Source Images (9) and number of pixels within each Lens Source Group (9) should by no means be inteφreted as a necessary condition for this invention. It is the number of pixels within the Source Image with the highest resolution, not the number of Source Images themselves, which determines the number of Lens Source Groups. For instance, the invention could have only one Source Image and 1000 Source Groups, if the Source Emage contained 1000 pixels. The resolution of all the Source Images does not have to be the same. For instance, a system that contained five Source Images could have a Source Image with twenty pixels, and the remaining four Source Images could have varying smaller numbers of pixels. Thus the Composite Image would have twenty Lens Source Groups, but each Source Group would not necessarily contain a pixel from the Source Images with lower resolutions. The number of pixels within each Source Group will vary because the number will depend on the desired Angular Ranges of the Viewable Images. Thus it is up to the designers to use in their art. Additionally, the pixels within the Lens Source Groups do not need to be the same size. To make a Viewable Image have a larger Viewer Angular Region, the pixels can be made corresponding larger than other pixels (this will reduce the total Angular Region available for the other Viewable Images). The Composite Emage 200 can be applied to materials that are opaque, transparent, neutral in color, colored, polarized, unpolarized, or any combination of these. The Composite Image 200 can also be projected onto a rear projection screen. An anay of lenses is used to achieve the deconvolution of the interspersed pixels such that distinguishable images are projected toward a viewer. Figure 16 shows, in profile, the general characteristic of a lens 224 when an image is placed at its focal point. For discussion herein, the lens 224 will be taken as one of the lenses in the Lens Array of the invention. Three representative pixels from a Lens Source Group associated with the lens are shown, la, 4a, and 7a respectively. The labeling system indicates that the pixels are from Source Images 1, 4, and 7, and their placement within their respective Source Images is at location "a" (in this case corresponding to the upper left hand comer of the Composite Image 200). Figure 16 shows example central rays coming from each of the three pixels la, 4a and 7a. The rays emerging from the lens are parallel, because the lens is placed at the focal distance from the pixels. Thus, the rays from each pixel exit the lens in different directions, the directions being dependent upon the lens characteristics and the location of the pixels. This results in the three Viewable Images 222 shown at the three different positions in Figure 16 being seen at distinct Viewer Angular Ranges, such that viewers located in the different directions from the invention will see conespondingly different Viewable Images. It is also important to note that the placement of the lens at the focal point causes the rays coming from each pixel to "fill" the lens. This is shown with the rays coming from pixel 7a in Figure 16. The result of this "filling" is a seamless Viewable Image, even though there is spacing between the Source Image pixels in the Composite Image. Figure 17 shows the profile of three lenses, matched in focal length, size and location relative to the elements of the Composite Image. Each of the lenses separates the image elements into different directions as illustrated in Figure 16. In the example illustrated by the figures, a 9-by-9 Lens Anay, overlaid on a 9-by-9 Lens Source Group, would deconvolve the spatially multiplexed elements in Figure 14 to the nine individual Source Images, now Viewable Emages. The lens array can be either a lens array 32 curved in one-dimension, as suggested by the curved axial array 32 depicted in Figure 18, or a lens array curved in two-dimensions as depicted by the example in Figure 19, or a combination of the two. The selection of the array is made as suitable in optical characteristics to deconvolve the Composite Image and project it toward the pre-selected Viewer Angular Region. It should be noted that there is no requirement for the lenses within the Lens Array to be "perfect" or even the same as the other lenses within the array. If a lens has distortion, adjustment in the image plane can be often made to back out the distortion. Specifically, the pixels within a particular Lens Source Group can be placed to accommodate any defects or differences in the associated lens. Also, no symmetry or uniformity of the Lens Array is required, either in lens placement or focal length. The light associated with viewing the image can be provided via backlighting, front lighting, or a combination of the two. The light source could also be from a projector in the embodiments where the Composite Image is changed in real time. The light can be neutral, colored, polarized or unpolarized. As discussed above, the viewer will see multiple Viewable Images. Each Viewable Image will only be seen in a limited Viewer Angular Range, however. The Viewer Angular Range for each Viewable Image is predetermined by the design of the Composite Image and the characteristics of the lenses. At large angles off of optical axis, the lens performance and geometry may fail to give an appropriate Viewable Image from information placed on the Composite Image. At the larger off-axis angles, pixel content can be achieved by mapping image details onto baffles, which are an element of some embodiments of this invention. In an embodiment including baffles, that light which is not within the lens' optical performance geometry to refract a pixel's light into a desired direction can still be used to illuminate "walls" located along the edges of the lenses. These walls would simply be like standard lens baffles, except each of the lenses' baffle walls would be provided individual reflection characteristics that, when seen as an ensemble of all the lens baffles, would produce an image in accord with the pattern painted on the ensemble of baffles. The cunent prefened embodiment of the invention is the "basic" model of the invention, wherein modifications can easily be made. The basic model includes a light source (either a rear screen projector or other light source), a Composite Image applied to a material or projected on to a rear projection screen, a Lens Array, and several Source Images. It is noted that multiple projectors may be used here an throughout this Detailed Description wherever a single projector is mentioned. It should be noted that this invention can change the direction of the Viewer Angular Ranges that Viewable Images are sent, not only by changing the configuration of the Composite Image, but also by simply moving the Lens Anay and Composite Emage transversely to one another, and by altering the curvature of the curved axial optics and orientation (angle and tilt). Also, the number and extent of Viewer Angular Ranges of the Viewable Images can be fine tuned in the design of the Composite Emage by changing the size of the pixels. This can be done in real time by using a computer controlled rear projection screen (which would include a TV screen) as the medium for the Composite Image. The system can be designed such that pixels from a set of high resolution Source Images are only deconvolved into Viewable Images when the Lens Array is well focused. When the Lens Anay is slightly unfocussed, however, the high resolution Source Image pixels will average together to form the larger pixels of a low resolution Source Image. That is, a group of pixels in each Lens Source Group would form one pixel of a low resolution Source Image. The group of pixels would be designed to average together to have the conect brightness and color for the low resolution Source Image. The viewing location of a Viewable Image can be based not only on angle from the Composite Image Plane, but also on distance from the invention. This effect can be achieved by slightly offsetting a Source Image's pixels such that the light beamed out from the individual lenses in the Lens Array no longer runs in the same direction, that being a parallel direction for every lens. Instead of beaming light out in parallel for every lens, the lenses direct the light out such that the beams cross over at some modest distance from the Composite Image plane. Therefore, it is possible to combine the distance and angle attributes in such a manner as to produce a visually dynamic sign that changes markedly as a viewer moves, not only side to side or up and down in front of the invention, but also as a viewer moves closer and farther away from it. This embodiment of the invention requires careful design involving the subtle trade off of several optical parameters. UJ. CURVED AXIAL OPTICS USING REFLECTIVE FELM The foregoing description of various practical applications of crossed axial optics has occuned in the environment where the axial curved optical arrays have been transparent. However, it is further understood that additional practical applications may occur in the environment where the axial curved optical array has one surface that is reflective. With a suspended film 104 having one side that is reflective, entirely new practical applications are presented. Particularly suitable pliable, deformable films 104 that provide on side that is reflective include those from aluminized Kapton (0.5 to 1.0 thousandths of an inch thickness) from Dunmore Coφoration, 145 Wharton Road, Bristol, PA 19007-1620 and aluminized polyester from Sigma Technologies of Tucson, Arizona. Another suitable film that is non- metallic and reflective is produced and sold by 3M Company.

HI. A. REFLECTIVE MULTI-IMAGE SURFACE Once this film 104 is utilized, a reflective multi-image surface may be produced. Such a surface is the subject of co-pending U.S. Non-Provisional Application filed on November 18, 2004 titled Reflective Multi Emage Surface, and which is hereby incoφorated by reference in its entirety.

m.B. FRONT PROJECTION SCREEN In addition to the foregoing practical application which is the subject of a separate application, a front projection screen may also be created. The description below provides specific detail on how such a screen may be achieved. The contrast of a projected image is subject to the intensity of the observable projection light relative to the intensity of the observable light from background sources. Increased intensity of observable light from background sources in the viewing environment conespondingly reduces an observer's ability to see the darker parts of the projected image, thus contrast limitation in a lighted viewing environment is most often imposed by the loss of darkness in elements of an image, rather than influences of background light on the brighter parts of an image. If there is no background light falling upon the screen that ultimately can be seen by an observer, then the observer has the ability to see the contrast inherent in the projected image, assuming that there is at least enough light in the projection to rise above threshold limits of eye sensitivity; and assuming that the screen itself does not deteriorate the contrast via transverse diffusion of the projected light (crosstalk). One way that background light rejection can be achieved is by removing non-projection light from the entire vicinity of the observer's eye (e.g. use a darkened room). But other options become apparent when considering that it is the background light that is ambient in the viewing environment seen by the observer that creates the problem, not the presence of the environmental light itself. Accordingly, even in the situation where there is intense environmental background light, the conditions favorable to maintenance of the projected image's inherent contrast can still be achieved. This is possible by using a projection screen that diverts any background light that strikes it away from the sight of the observer. The contrast of an image projected onto a screen can be improved by increasing the image brightness, by reducing the background light's influence, or by a combination of both. Improving contrast by approaching the first option (increasing brightness) involves limiting the volume into which the projected light is scattered by the screen, thereby increasing the viewed brightness of the image achieved by any set amount of projection light. Considering the second option (reducing background light), the contrast can be improved by limiting the volume from which light striking the screen from sources other than the projector can be redirected into the volume containing the audience. This invention's approach to achieving these contrast improvements introduces an additional possibility. The utility of the invention as a contrast-enhancing screen can provide an angular screen-reflection profile in which the light from a projector is concentrated towards the viewer, and that the projection light falls off shaφly when the viewer moves to a position outside the designed viewer volume. Such shaφ fall-off of intensity thereby adds the possibility of putting multiple, non-interfering images upon one screen, with each image being observable only from within its own peculiar viewing volume. The invention provides for all three elements of the advantageous screen described above. Further, the invention also is more readily manufactured than other possible solutions for the production of screens having similar properties. This advantage is derived from simplicity of tool-making and modest cost of materials (to name but two elements of advantage). Other technology has been employed in attempts to achieve increased contrast for projected images. For example, compared to simple diffuse white reflection surfaces (e.g. white paint and/or plastic diffusing sheet) there is an intensity advantage to using tiny glass beads 232 attached to the surface of a reflective sheet 230. The small beads 232 act as tiny lenses that concentrate the light 228 into a smaller viewing volume than that characteristic of white paint coatings and plastic diffusers. The basic idea of such glass bead screens is illustrated in Figure 20. Although some light intensity gain is achieved with glass bead screens, cross-talk (inter-pixel bleeding) is a significant deterioration observed with screens that use plastic diffusers and/ or glass beads. In the case of plastic diffusers, the scatter of light 226 is somewhat isotropic, which allows lateral spread of light within the diffuser. Such lateral spread causes loss of contrast and color integrity of spatially-fine elements in a projected image. Glass beads 232, being spherical in shape, also produce a similar lateral spread 226 between beads 232. Among the other reasons for this cross-talk are (1) the fact that the light's internal multi-bounce 226 at refractive index interfaces leads to geometric migration to a lateral direction, and (2) the fact that the curvature of the spherical beads provides higher and higher incident angles as the projected light approaches the outer (tangent) edges of the sphere. The reflection coefficient, in accord with Fresnel relationships, grows higher for tangential angles. This accentuates the crosstalk problem even before the light 228 enters the bead 232. Figure 21 depicts the crosstalk issues associated with glass beads 232. Clearly, most of the refractive sphere does not contribute to focusing the reflection of the projected light back to a selected and shaφly-defined viewing volume. Only a small part of the sphere is helpful to that puφose. The remainder creates diffusivity that not only cross talks with neighboring spheres 232, but also sends the projected light to regions well outside the desired viewing volume 226. This invention, although it uses refractive elements, does not incoφorate those parts of a refractive shape that are not contributors to reflecting light distinctly into the desired viewing volume. In effect, only a selected part of a refractive solid is used. Further, instead of the use of an anay of closely packed glass spheres, and other such bi-directional refractive solids, closely-spaced refractive cylindrical elements (one-dimensional refractors) are used. Here, as stated, only a selected and appropriate portion of the refractive cylinder is employed, otherwise the same type of cross-talk as encountered with the glass spheres will result along the cylinders' cross-axis. (Note that segments of non-circular cross-sections are anticipated for the "cylinders" in the scope of the invention, the exact shape being as needed to achieve limitation of reflected projection light to a desired viewing volume.) The incoming projector light 234 passes into the cylindrical lenses 238 and, if the lenses 238 are backed by a specular reflector 240, reflects back out through the same lenses 238 as depicted in Figure 22. The effect of the lens array 238 is to disperse the reflected light 236 in one plane transverse to the plane of cylindrical axes, but without significant dispersal in the other transverse plane. With proper parameter selection, the reflected light 236 can be contained in a small, well-defined dispersion angle. If the arc of the lens 238 is modest, then a great deal of the incoming projection light strikes the lens surface at a near-normal angle. This results in a high percentage of the light 234 entering the lens (significantly more light than with the glass bead approach, as illustrated previously in Figure 21). The value of increasing the efficiency of light entry extends beyond the desire to subject more of the light to the refractive effects of the cylindrical lens. Reduction of front- surface reflection is important to maintenance of a shaφ angular cutoff profile. As will be discussed shortly, the invention seeks to reserve reflection processes for the projection light to that caused by a reflective surface imposed after the light has passed through the cylindrical lenses. If enhancement of the percentage of entry of light into the refractive cylinder material is desired, the surface of the cylinder can be covered with an anti-reflection coating to reduce the effect of abrupt refractive index changes. In this invention, the addition of an anti- reflection layer to the refractive surfaces is easily achieved by using a film whose refractive index is less than the refractive index of the cylinder's substrate, with the ideal anti-reflection index of the film being the square root of the cylinder substrate's index. Even if an anti-reflection layer is not desired, the material 248 can still be used to obtain a very high finish surface for the lens. In fact, in one manufacturing embodiment of this invention, such a material is used for separation of the finish of the surfaces (both refractive and reflective) from the figure of the surfaces. This is achieved by the use of films 248 suspended between naπow structural elements 252 for both the refractive and the reflective surfaces. Figure 23 illustrates one example of a film-suspension arrangement for creation of the closely-spaced cylindrical (curved axial) lens array 248. In addition to the use of the cylindrical lens array 256, this invention uses a non- planar specular reflector 258 behind the cylindrical lens array 256, thereby making the invention a catadioptric system. An example reflector would be an array of closely-spaced portions of nominally cylindrical (curved axial elements) reflectors 258. This reflective array 256 is created by film suspension 254, 258 in a manner similar to the production of the refractive anay of Figure 10. The orientation of the cylindrical mirror axes is not the same as for the refractive cylinders. With this non-aligned condition, the cylindrical minors 258 will disperse the projection light along an axis different than the dispersion produced by the refractive cylindrical elements 254. Figure 24 illustrates the overall concept of clear film 254 adhered with cylindrical moφhology to bulk clear refractive fill material 256 plus reflective film 258 adhered cylindrical moφhology to the opposite side of the bulk fill 256. (Although the figure shows the axes of the refractive 254 and reflective 258 elements to be at right angles, such is not a requirement for all embodiments of this invention.) The effect of the arrangement in the invention is to produce a matrix of projection screen reflective cells with many advantages over traditional front projection screen technology, such as high-gain improved contrast and multiple imaging capabilities. A typical individual cell might be as shown in Figures 25A, 25B, and 25C. Several factors govern the selection of the thickness of the transparent bulk fill material 256 in the cell anangement (this invention anticipates gaps of either gas, liquid, or solid in the transparent bulk fill material). In most cases, avoiding cell-to-cell crosstalk will be important. This can be attained by keeping a small distance between front and back surfaces. The refractive light-deviation takes place at the surface and the inner material has no other major effect than to provide focusing space. For most designs, there needs to be enough distance from the refractive surface to the reflective surface for the light to move transversely. However, the thickness should not be so great as to allow the rays to cross over between cells, thereby exiting a different cell than they entered. If the cells 260 are made small, then the thickness can be kept quite small, even such that the screen 262 can be made highly flexible. Figure 26 illustrates a highly flexible screen 262 where small cell 260 size leads to a thin, flexible screen 262. The embodiment of this invention shown in the above figures uses film suspension to create the anays of cylindrical-like lenses and mirrors. This is a useful and unique feature in that it facilitates separation of the creation of the finish of the reflector surface from creation of the figure of the reflector surface. (Note that the film 165 or 248 can lightly touch the tool 134 or 246 as seen in Figures 10 and 22 and still retain separation of finish and figure as long as the film still suspends across negative tool marks. Although film suspension has particular advantages, the invention anticipates use of other shaping approaches such as obtained with injection molding, plating, depositions, etching, and other standard chemical and mechanical techniques.) In the prefened embodiment, simple tools 134 or 246 are prepared for suspension of transparent 254 and reflective films 258 across spans between a series of ridges, best shown in Figure 10 and Figure 22. The shape of the top of the ridges crosswise to their linear orientation can be any geometry as suits the application, but in general a thin crest is desirable. The invention, as stated earlier anticipates that the shape of the ridges along its extension need not be a straight line. In fact, the invention anticipates advantage in some circumstances to providing curvature to the ridge either laterally, in depth, or both. The suspended film 165 or 248 is caused to deform to a desired figure (shape) using application of forces imposed by either gravitational, centrifugal, magnetic, electric, differential pressure, or any combination of influences thereof. In the case of gravitational and centrifugally induced deformation, the elasticity and mass of the film 165 or 248 are (^' major elements in the deformation resulting from the force. With magnetic and electrical techniques, the magnetic and electrical field strengths between the span of the tool's bottom and the film combine with the film's elasticity as primary elements. In the case of differential pressure forces, the film 165 or 248 is sunounded by fluids (gas, liquid, or a combination of both) separable to each side of the film 165 or 248. A differential fluid pressure is applied to opposite sides of the film 165 or 248 to form uniform deformation to a desired figure. In any or all of the aforementioned productions of force to deform the film 165 or 248 into a desired figure, the properties of the film 165 or 248 can be modified by application of temperature and other variations in the physical and chemical environment to which the film 165 or 248 is subjected. This invention anticipates application of such conditioning. The series of ridges seen in Figures 10 and 22 serving as edges of suspension for the film have been designed to be sufficiently high, relative to the depth of the span between the ridges that, during deformation to the desired figure, the film 165 or 248 need not touch the tool 134 or 246 beneath it in the areas below the suspension. If contact does occur the pressure against the tool can be kept so light that the finish of the tool will not be transferred to (imposed on) the figure of the film 165 or 248. (Note: Reflection material can be applied to the minor surface either before or after the suspension process, and both are anticipated by the invention.) When the forces on the suspended film 165 or 248 have produced the desired shape, bulk transparent material is applied. This material can then be cured or otherwise solidified (via cooling, chemical interaction, etc.) to secure the lenses' shapes. The chemical, optical and physical properties of the film 165 or 248 used for production of the cylindrical lens surface can be significantly different than the conesponding properties of the bulk material that is used to secure the desired optical figure of the lenses. These differences can be selected to advantage. For example, if the optically transparent bulk material 256 is a standard epoxy, then several transparent film chemistries are available to produce a more robust protection against environmental and mechanical (scratch, etc.) offenses to the lens anay. Further, as mentioned earlier, the index of refraction of the film 165 or 248 can be chosen to be appropriately less than that of the bulk material, thereby producing a hard antireflection shield for the bulk material. The array of cylindrical minors is made in a similar manner as to the making of the anay of cylindrical lenses. That is, film 165 or 248 is suspended across a series of ridges and deformed in any of the manners described for the lens anay fabrication, then solidified in figure by the use of a bulk substrate. However, in this case, the film 165 or 248 is to be made reflective, either before, during, or after suspension and solidification. (As discussed earlier, the orientation of the cylindrical reflector array is puφosely different than the orientation of the cylindrical refractor (lens) anay.) In the prefened embodiment, the lens film 254 and the mirror film 258 are suspended with the two tools facing each other at the same time. A barrier wall is placed around the edges of the two-tools such that bulk material 256 can be poured between the two films 254 and 258, without leaking out from between the films 254 and 258, to simultaneously lock both films 254 and 258and their shapes into a monolithic piece, as can be pictorially conceived by collapsing together the three elements shown in Figure 24. The invention anticipates that the bulk fill 256 can be provided in multiple steps with pieces adhered together rather than a monolithic fabrication. This prefened embodiment would include making at least one of the suspension tools from a visually and ultraviolet transparent material 256. This would allow visual inspection of the films 254 and 258and the bulk fill material 256 as they are introduced during fabrication, followed by UV curing of an appropriate polymer once the appearance of the films and bulk material is acceptable. A general characteristic of this invention allows differences in the figures (curvatures) of the refractive and reflective moφhologies. In fact, it is anticipated in this invention that they will often be designed to be different. Further, it is anticipated that among the moφhology options, advantage can be taken of the shaping options of the transparent bulk fill 256 to create small prisms that facilitate canting the reflected light. This means that screens 262 made with high gain will not have to be formed into a curvature to achieve needed viewer volume across the entire expanse of a large projection screen 262. The invention can achieve this prismatic advantage by stair-casing the height of the suspension ridges, and pulling some of the clear film 254 tight against the wall on its neutral side (the backside of a resultant prism, where projection light does not impinge). One alternative to the stair-casing embodiment is the embedding of prisms whose index of refraction differs from the index of refraction of the bulk fill 256. The description of the invention is merely exemplary in nature and, thus, variations that do not depart from the gist of the invention are intended to be within the scope of the invention. Such variations are not to be regarded as a departure from the spirit and scope of the invention.

Claims

ClaimsWhat is claimed is:

1. An optical system comprising: a first anay of independent axial optical elements; a second anay of independent axial optical elements in electromagnetic communication with said first array of independent axial optical elements and relatively disposed such that multiple focal points are created for incoming parallel light in order to produce multiple images.

2. An optical system according to claim 1, wherein said first array of independent axial optical elements may have a profile selected from the following group: sinusoidal; curved; baffled; flat, apex-forming; and non-uniform curved.

3. An optical system according to claim 1, wherein said second array of independent axial optical elements may have a profile selected from the following group: sinusoidal; curved; baffled; flat, apex-forming; and non-uniform curved.

4. An array of independent axial optical elements comprising: a transparent film; and solidified fill material fixed to said transparent film.

5. An array of independent axial optical elements according to claim 4, having a profile selected from the following group; sinusoidal; curved; baffled; flat, apex-forming; and non- uniform curved.

. An anay of independent axial optical elements comprising: a reflective film; and solidified fill material fixed to said reflective film.

7. An anay of independent axial optical elements according to claim 4, having a profile selected from the following group; sinusoidal; curved; baffled; flat, apex-forming; and non- uniform curved.

8. An optical system comprising: a first array of independent axial optical elements; and a second anay of independent axial optical elements joined to said first array.

9. An optical system according to claim 8 wherein said first array comprises transparent film and solidified fill material, and said second array comprises transparent film and solidified fill material.

10. An optical system according to claim 8 wherein said first array comprises transparent film and solidified fill material, and said second anay comprises reflective film and solidified fill material.

11. An optical system according to claim 8, wherein said first array of independent axial optical elements may have a profile selected from the following group: sinusoidal; curved; baffled; flat, apex-forming; and non-uniform curved.

12. An optical system according to claim 8, wherein said second array of independent axial optical elements may have a profile selected from the following group: sinusoidal; curved; baffled; flat, apex-forming; and non-uniform curved.

13. A method of manufacturing an optical array comprising: making a series of parallel cuts in an optical material to form a series of curved axial optical elements.

14. A method of manufacturing a mold for an optical anay, comprising: making a series of parallel cuts in a mold material to form a mold for a series of curved axial optical elements.

15. A method of manufacturing an optical array, comprising: suspending a film on a tool; applying a differential pressure to said film to move portions of said film into a curved position; and applying a filler material to one side of said film to form an axial optical array.

16. An optical system according to claim 15, wherein said anay of axial optical elements may have a profile selected from the following group: sinusoidal; curved; baffled; flat, apex- forming; and non-uniform curved.