CN100501491C - Method for designing concentric triple-reflector optical system aberration-proof annular viewing field - Google Patents

Abstract

This invention discloses one concentric three reflection lens optical ring field without picture difference method, which comprises the following steps: giving the concentric reflection lens system; making the convex reflection lens radius larger than the half of concaved reflection lens; putting the convex radium r into formula of h=(R 4r2-R2)/2r to figure out the radium h of ring field without picture difference.

Description

Concentric triple-reflector optical system aberration-proof annular viewing field method for designing

Technical field

The present invention relates to optical system imaging and Aberration Analysis principle, a kind of foolproof method in concentric triple-reflector optical system aberration-proof annular viewing field of determining is provided.

Background technology

Three-reflector optical system is Mr.'s OFFNER invention " 1: 1 " optical projection imaging system with one heart.U.S. Patent number: 3748015,3821763,4293186 have more detailed explanation to it.One of existence has been eliminated three grades of " nothing " aberrations with fifth-order aberration and has been looked around the field in this system.General utilization optical computer aided design software is sought or is determined that " nothing " aberration looks around the field in system design, as ZEMAX software.This method is more directly perceived, but the deviser must have suitable optical design professional knowledge and be familiar with design software, work burdensome and complexity.

Summary of the invention

In order to make concentric three-reflector optical system can be applied in various types of instruments widely, and, non-optical design specialist personnel provide method simply and easily for accurately using this system, the object of the invention provides a kind of foolproof method for designing and determines that this system " nothing " aberration looks around the field, the user needs not to be the optical design professional, does not also need to be familiar with optical computer aided design software.

Technical scheme of the present invention has found to seek the Simple Method for Design of concentric triple-reflector optical system aberration-proof annular viewing field by the analysis to concentric optical system imaging characteristic and concentric three catoptron pupil wave aberrations, and the step of its method for designing is:

1, sets up a concentric three-reflector optical system, the three-reflector optical system that it is made up of two concentric spherical catoptrons, a convex reflecting mirror, a concave mirror, object plane, be the same plane that comprises the public centre of sphere as the plane, perpendicular to optical axis, the ring on principal plane is " nothing " aberration ring;

2, select convex reflecting mirror and concave mirror, make the convex reflecting mirror radius r more than or equal to half of concave mirror radius R, that is: $r\≥\frac{R}{2};$

3, with concave mirror radius R and convex reflecting mirror radius r substitution formula: $h=\frac{R\sqrt{{4r}^2-R^2}}{2r},$ Calculate " nothing " aberration and look around the radius h of field.

In principal plane, satisfy have only very little spherical aberration on the ring of above-mentioned condition, bent of Petzval and remaining senior aberration, and bent of spherical aberration and Petzval are mutual balances, the aberration that is brought by aperture angle is minimum, is a field of looking around with fine picture element therefore.Aperture angle is less than 18 degree.As long as concerning a given concentric three-mirror system, utilize formula just can calculate " nothing " aberration ring.Can determine earlier the size of structure as required by the three above steps to the deviser, calculate the position of ring then.Compare with traditional utilization optical computer aided design software design and to have the following advantages:

1, calculates very simple and need only elementary mathematics calculating and just can solve.

2, do not need the optical computer design software, do not need optical design professional knowledge.

Description of drawings

Fig. 1 is concentric three-reflector optical system structural drawing.

Embodiment

Concrete steps of the present invention are done an explanation according to Fig. 1:

1, upright concentric three-reflector optical system, the three-reflector optical system that it is made up of two concentric spherical catoptrons, a convex reflecting mirror 1, a concave mirror 2, object plane, as the plane is the same plane 3 that comprises public centre of sphere C, perpendicular to optical axis, ring on principal plane is " nothing " aberration ring 4, reflex to convex reflecting mirror central point D from object space light beam chief ray through concave mirror 2 on the ring, reflex to concave mirror 2 by convex reflecting mirror again, be reflected in ring by concave mirror 2 again and go up picture side, and picture side's outgoing chief ray and object space incident chief ray are parallel to each other as imaging on the plane;

2, select convex reflecting mirror and concave mirror, make the convex reflecting mirror radius r more than or equal to half of concave mirror radius R, that is: $r\≥\frac{R}{2},$ Selecting the convex reflecting mirror radius r in the present embodiment is 112.98mm, and the concave mirror radius R is 222.3mm;

3, with above-mentioned concave mirror radius R and convex reflecting mirror radius r numerical value substitution formula: $h=\frac{R\sqrt{{4r}^2-R^2}}{2r},$ Calculating the radius h that " nothing " aberration looks around is 39.85mm.

Claims (1)

1, a kind of method that concentric triple-reflector optical system aberration-proof annular viewing field is provided is characterised in that, the step of method is:

(1) sets up a concentric three-reflector optical system, the three-reflector optical system that it is made up of two concentric spherical catoptrons, a convex reflecting mirror, a concave mirror, object plane, be the same plane that comprises the public centre of sphere as the plane, perpendicular to optical axis, the ring on principal plane is " nothing " aberration ring;

(2) select convex reflecting mirror and concave mirror, make the convex reflecting mirror radius r more than or equal to half of concave mirror radius R, that is: $r\≥\frac{R}{2};$

(3) with concave mirror radius R and convex mirror radius r substitution formula:

$h=\frac{R\sqrt{4r^2-R^2}}{2r},$ Calculate " nothing " aberration and look around the radius h of field.

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