WO2004016041A1 - Differential microphone - Google Patents

Differential microphone Download PDF

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Publication number
WO2004016041A1
WO2004016041A1 PCT/US2002/024995 US0224995W WO2004016041A1 WO 2004016041 A1 WO2004016041 A1 WO 2004016041A1 US 0224995 W US0224995 W US 0224995W WO 2004016041 A1 WO2004016041 A1 WO 2004016041A1
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Prior art keywords
accordance
differential microphone
approximately
membrane
microphone
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Application number
PCT/US2002/024995
Other languages
French (fr)
Inventor
Ronald Miles
Sanjay Sundermurthy
Colum Gibbons
Ronald Hoy
Daniel Robert
Original Assignee
State University Of Ny Binghamton
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Publication date
Application filed by State University Of Ny Binghamton filed Critical State University Of Ny Binghamton
Priority to AU2002332475A priority Critical patent/AU2002332475A1/en
Priority to PCT/US2002/024995 priority patent/WO2004016041A1/en
Publication of WO2004016041A1 publication Critical patent/WO2004016041A1/en

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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04RLOUDSPEAKERS, MICROPHONES, GRAMOPHONE PICK-UPS OR LIKE ACOUSTIC ELECTROMECHANICAL TRANSDUCERS; DEAF-AID SETS; PUBLIC ADDRESS SYSTEMS
    • H04R25/00Deaf-aid sets, i.e. electro-acoustic or electro-mechanical hearing aids; Electric tinnitus maskers providing an auditory perception
    • H04R25/40Arrangements for obtaining a desired directivity characteristic
    • H04R25/402Arrangements for obtaining a desired directivity characteristic using contructional means
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04RLOUDSPEAKERS, MICROPHONES, GRAMOPHONE PICK-UPS OR LIKE ACOUSTIC ELECTROMECHANICAL TRANSDUCERS; DEAF-AID SETS; PUBLIC ADDRESS SYSTEMS
    • H04R1/00Details of transducers, loudspeakers or microphones
    • H04R1/20Arrangements for obtaining desired frequency or directional characteristics
    • H04R1/32Arrangements for obtaining desired frequency or directional characteristics for obtaining desired directional characteristic only
    • H04R1/34Arrangements for obtaining desired frequency or directional characteristics for obtaining desired directional characteristic only by using a single transducer with sound reflecting, diffracting, directing or guiding means
    • H04R1/38Arrangements for obtaining desired frequency or directional characteristics for obtaining desired directional characteristic only by using a single transducer with sound reflecting, diffracting, directing or guiding means in which sound waves act upon both sides of a diaphragm and incorporating acoustic phase-shifting means, e.g. pressure-gradient microphone

Definitions

  • the present invention relates to microphones and, more particularly, to a new differential microphone having improved frequency response and sensitivity characteristics .
  • the most common approach to constructing a directional microphone is provided by an apparatus comprising sound inlet ports defined by juxtaposed tubes that communicate with a diaphragm.
  • the two sides of the microphone diaphragm receive sound from the two inlet ports.
  • the sound pressure driving the rear of the diaphragm travels through a resistive material that provides a time delay.
  • the dissipative, resistive material must be designed to create a proper time delay in order for the net pressure to have the desired directivity.
  • the net pressure on the directional microphone is proportional to the frequency of the sound, and thus has a 6 dB per octave slope.
  • the net pressure is also diminished in proportion to the distance between the ports. Reducing the overall size of the diaphragm results in a proportional loss of sensitivity. It can be observed that the 6 dB per octave slope and the dependence on the distance dimension remain even in microphones devoid of the resistive material .
  • a microphone without the resistive material is normally called a differential microphone or a pressure gradient microphone.
  • Directional microphones which are commonly used in hearing aids, are normally designed to operate below the resonant frequency of the diaphragm. This causes the response to have roughly the same frequency dependence as the net pressure. As a result, the microphone output is proportional to frequency, as is the net pressure.
  • the uncompensated directional output exhibits a 6 dB per octave high pass filter shape. To correct for this frequency response characteristic, a 6 dB per octave low pass filter is incorporated in the hearing aid device, along with a gain stage. This yields a "flat" response.
  • the microphone package incorporates a switch to allow the user to select between the two response curves.
  • Hearing aid manufacturers have found it necessary to incorporate switches on hearing aids that allow users to switch to a non-directional microphone mode in quiet environments, where the directional microphone noise proves most objectionable .
  • the noise inherent in conventional, directional microphones has caused hearing aid microphone designers to use a relatively large port spacing of approximately 12 mm. This is considered to be the largest port spacing that can be used while still achieving directional response at 5 kHz, the highest frequency for speech signals .
  • Creating small directional microphones is dependent upon the product of frequency and port spacing. The distance factor indicates that sensitivity of the device is reduced as its overall size is reduced.
  • the present invention seeks a new approach to solving the aforementioned problems. It has been discovered that the mechanical structure employed in the directionally sensitive ears of the fly, Ormia ochracea, can act as a model for a hearing aid microphone having sound sensitivity without drastic amounts of frequency compensation. A diaphragm patterned after the Ormia ochracea ears is very well suited to silicon microfabrication technology.
  • the current invention provides a directional microphone having a one micron thick silicon membrane with dimensions of approximately 1mm x 2mm.
  • the directional microphone has improved sensitivity, a reduced noise level, and a frequency response that is comparable to existing high performance miniature microphones.
  • an improved directional microphone or acoustic sensor having greater sensitivity and reduced noise.
  • the directional microphone or acoustic sensor comprises a rigid, one micron thick polysilicon membrane having dimensions of approximately lmm x 2mm. The membrane is supported upon its central axis by beams having torsional and transverse stiffness.
  • the total damped area of the microphone is between approximately 1.5 and 2.5 x 10 "s m 2 .
  • the distance between centers of the two sides of the device is approximately 10 "3 m.
  • the resonant frequency in the rotational mode is in a range of between approximately 700 to 1,000 Hz, and the resonant frequency of the translational mode is in the range of between approximately 40,000 and 45,000 Hz.
  • the total mass of the device is between approximately 2.0 and 3.0 x 10 "8 kg.
  • the mass moment of inertia about an axis through the supports is in a range of between approximately 9.0 and 10 x 10 "15 kgm 2 .
  • the damping constant is in a range of between approximately 9.5 and 10 x 10 "5 N-s/m, and is designed to provide critical damping.
  • the signals from the microphone are filter compensated to achieve a flat frequency response over a range, typically between the 250 and 8,000 Hz octave bands.
  • FIGURE 1 illustrates a schematic, sectional view of a conventional directional microphone
  • FIGURE 2 depicts a graph of a measured directional hearing aid microphone response
  • FIGURES 3a and 3b show schematic, perspective and front views, respectively, of the sensing device of this invention.
  • FIGURE 3c depicts an alternate embodiment of the inventive differential microphone,-
  • FIGURE 3d depicts a perspective front view of the microphone of the invention with stiffeners and masses,-
  • FIGURE 4 illustrates a graph of the frequency response of the inventive differential microphone compared with a conventional differential microphone
  • FIGURE 5 depicts a graph of the compensation filter response of the differential microphone of this invention compared with a conventional differential microphone
  • FIGURE 6 shows a graph of the output noise of the inventive differential microphone compared to a conventional differential microphone.
  • the invention features a new, miniature acoustic sensing device or directional microphone having greater sensitivity and reduced noise.
  • the directional microphone or acoustic sensor comprises a rigid, one micron thick, polysilicon membrane having dimensions of about 1mm x 2mm. The membrane is supported upon its center by beams having torsional and transverse stiffness.
  • FIGURE 1 a schematic of a conventional directional microphone 10 is illustrated.
  • the most common directional microphone 10 has directivity in the approximate shape of a cardioid.
  • the sound inlet ports 12 and 14, respectively, are spaced a distance "d" apart, and are defined by juxtaposed tubes 16 and 18 that communicate with the diaphragm 20.
  • the two sides 22 and 24, respectively, of the microphone diaphragm 20 receive sound from the two respective inlet ports 12 and 14.
  • the sound pressure driving the rear of the diaphragm travels through a resistive material, or damping screen 26, designed to provide a time delay.
  • the dissipative, resistive material must be designed to create a proper time delay in order for the net pressure to have the desired directivity.
  • the ports which are separated by a distance d, as aforementioned, create a net pressure on the diaphragm that may be expressed as:
  • the dissipative material must be designed to create the proper time delay in order for the net pressure to have the desired directivity. If the resistive material 26 is represented by an equivalent low-pass electronic circuit, the transfer function of the material is :
  • Directional microphones are normally designed to operate below the resonant frequency of the diaphragm 20, which causes the response to have roughly the same frequency dependence as the net pressure.
  • the microphone output is proportional to frequency, as in the net pressure in equation (1.6) .
  • FIGURE 2 shows measured response of a commercially available directional microphone for hearing aids.
  • the curve labeled "low cut” corresponds to the uncompensated directional output, and exhibits a 6 dB per octave high pass filter shape.
  • a 6 dB per octave low pass filter is incorporated along with a gain stage to yield the "flat" response curve shown.
  • the microphone 10 incorporates a switch to allow a user to select between the two response curves.
  • the invention solves these problems, by using a new mechanical structure patterned after the directionally sensitive ears of the fly Ormia ochracea.
  • the new mechanical approach reduces the need for drastic amounts of frequency compensation.
  • the new diaphragm design concept is very well suited for silicon microfabrication technology.
  • a directional microphone 30 has dimensions of 1 mm x 2 mm, and has a sensitivity, noise, and frequency response that is comparable to existing high performance miniature microphones.
  • the analysis of the microphone 30 is based on a lumped parameter model in which the parameters of the structure are obtained through a detailed finite element analysis.
  • the microphone 30 has a rigid diaphragm 32 that is supported by flexible hinges 34 and 36, respectively.
  • the diaphragm 32 has two degrees of freedom. Motion can be represented by rotation about the centerline " ⁇ " and the displacement of the midpoint "x" .
  • the equations of motion are:
  • equations (II.2) the right sides of equations (II.1) become:
  • eo- L and ⁇ 2 are the resonant frequencies of the rotational and translational modes, respectively, and ⁇ x and ⁇ 2 are the damping ratios.
  • T he dashpot constant may be related to the properties of the rotational mode by: (II - 8) WW '
  • the total sensitivity is thus roughly proportional to the distance "d”, and the area “s”, and is inversely proportional to the total mass, "m” .
  • the equivalent dBA sound pressure level due to thermal noise in the ' microphone may be computed from:
  • Equation (11.16) shows that the noise is minimized by designing a structure with a low resonant frequency for rotational motion, ⁇ ⁇ .
  • the damping ratio ⁇ x should be as small as possible without resulting in unacceptable transient response. It is reasonable to design the damping in the system so that it is slightly overdamped, giving ⁇ : » 1.
  • the directivity pattern of this microphone is determined by cos ( ⁇ ) , which gives it the shape of a figure eight, as expected for a differential microphone.
  • cos ( ⁇ )
  • the diaphragm is fabricated using a "conventional" approach so that it consists of a 1 ⁇ .m silicon membrane having dimensions 1 2 mm.
  • the displacement of the diaphragm can be approximated by:
  • ⁇ 0 is the natural frequency
  • ⁇ 0 is the damping ratio
  • s 0 is the area
  • m 0 is the total mass.
  • equation (III.5) is used to express the integral in terms of ⁇ .
  • equations (III.l) and (III.5) through (III.9) gives :
  • Microphone 30 consists of a fairly rigid diaphragm 32 supported at its center by beams 34 and 36 that have been carefully designed with torsion and transverse stiffnesses.
  • the overall dimensions are 1 mm x 2 mm, and the structure is constructed out of 1 ⁇ m thick polysilicon.
  • the total mass is m « 2.5 x 10 " ⁇ kg.
  • the resonant frequency of the rotational mode is predicted to be 830 Hz and the frequency of the translational mode is 41,722 Hz.
  • the rotational mode is the only mode having a frequency anywhere near the audible frequency range. This realizable structure thus behaves much like the idealized rigid bar depicted at the bottom of FIGURE 1.
  • the diaphragm of the conventional microphone is assumed to be a 1 ⁇ m thick polycrystalline silicon membrane having dimensions 1 x 2 mm. Both microphones thus have the same area.
  • the natural frequency of the membrane estimated using the finite element method was found to be « 10 kHz.
  • the required damping constants are well within the range of what can be achieved with the proper design of the porous back electrode .
  • Another approach to constructing a differential microphone that responds with rotational motion about its centerline is shown in FIGURE 3c.
  • the operating principle is similar to that of the structure depicted in FIGURES 3a and 3b but in this case, the microphone diaphragm 32 is supported around its entire periphery 38 rather than only at flexible hinges 34 and 36.
  • the structure 30 is designed with stiffeners 40 and masses 42, 44 that emphasize motion having a shape as shown in FIGURE 3d.
  • the two ends of the diaphragm 32 move in opposite directions and hence rock about the centerline 45.
  • each microphone 10, 30 will be compensated using a filter in order to achieve a flat frequency response over the 250 Hz through 8 kHz octave bands.
  • the output levels of these filters are adjusted so that they are equal to the maximum output of the inventive microphone at its first resonant frequency, 830 Hz.
  • the two filter responses are shown in FIGURE 5.
  • the low signal level of the conventional microphone 10 at low frequencies causes it to require over 30 dB of gain.
  • FIGURE 6 depicts both conventional and inventive microphones 10, 30 compared with respect to their noise outputs.

Abstract

A new acoustic sensing device or directional microphone (10) having greater sensitivity and reduced noise. The directional microphone (10) or acoustic sensor has a rigid, one micron thick, polysilicon membrane (20) having dimensions of about 1 mm x 2 mm. The membrane (20) is supported upon its center by rigid supports having torsional and transverse stiffness. The differential microphone (10) is useful in hearing aids, telecommunications equipment, information technology and military applications.

Description

DIFFERENTIAL MICROPHONE
Field of the Invention:
The present invention relates to microphones and, more particularly, to a new differential microphone having improved frequency response and sensitivity characteristics .
BACKGROUND OF THE INVENTION
The most common approach to constructing a directional microphone is provided by an apparatus comprising sound inlet ports defined by juxtaposed tubes that communicate with a diaphragm. The two sides of the microphone diaphragm receive sound from the two inlet ports. The sound pressure driving the rear of the diaphragm travels through a resistive material that provides a time delay. The dissipative, resistive material must be designed to create a proper time delay in order for the net pressure to have the desired directivity.
It is important that the net pressure on the directional microphone is proportional to the frequency of the sound, and thus has a 6 dB per octave slope. The net pressure is also diminished in proportion to the distance between the ports. Reducing the overall size of the diaphragm results in a proportional loss of sensitivity. It can be observed that the 6 dB per octave slope and the dependence on the distance dimension remain even in microphones devoid of the resistive material . A microphone without the resistive material is normally called a differential microphone or a pressure gradient microphone.
Directional microphones, which are commonly used in hearing aids, are normally designed to operate below the resonant frequency of the diaphragm. This causes the response to have roughly the same frequency dependence as the net pressure. As a result, the microphone output is proportional to frequency, as is the net pressure. The uncompensated directional output exhibits a 6 dB per octave high pass filter shape. To correct for this frequency response characteristic, a 6 dB per octave low pass filter is incorporated in the hearing aid device, along with a gain stage. This yields a "flat" response. The microphone package incorporates a switch to allow the user to select between the two response curves.
The problem of electronically compensating for the 6 dB per octave slope of the diaphragm response is that it causes a substantial degradation in noise performance. Any thermal noise introduced by the microphone itself, along with the noise created by the buffer amplifier, is amplified by the gain stage in the compensation circuit. The significant increase in noise is very undesirable.
Hearing aid manufacturers have found it necessary to incorporate switches on hearing aids that allow users to switch to a non-directional microphone mode in quiet environments, where the directional microphone noise proves most objectionable .
The noise inherent in conventional, directional microphones has caused hearing aid microphone designers to use a relatively large port spacing of approximately 12 mm. This is considered to be the largest port spacing that can be used while still achieving directional response at 5 kHz, the highest frequency for speech signals .
Creating small directional microphones is dependent upon the product of frequency and port spacing. The distance factor indicates that sensitivity of the device is reduced as its overall size is reduced.
Traditionally, compensating the output signal to achieve a flat frequency response has been traditionally accomplished electronically. This has lead to the amplification of noise sources .
The present invention seeks a new approach to solving the aforementioned problems. It has been discovered that the mechanical structure employed in the directionally sensitive ears of the fly, Ormia ochracea, can act as a model for a hearing aid microphone having sound sensitivity without drastic amounts of frequency compensation. A diaphragm patterned after the Ormia ochracea ears is very well suited to silicon microfabrication technology.
The current invention provides a directional microphone having a one micron thick silicon membrane with dimensions of approximately 1mm x 2mm. The directional microphone has improved sensitivity, a reduced noise level, and a frequency response that is comparable to existing high performance miniature microphones.
SUMMARY OF THE INVENTION
In accordance with the present invention, there is provided an improved directional microphone or acoustic sensor having greater sensitivity and reduced noise. The directional microphone or acoustic sensor comprises a rigid, one micron thick polysilicon membrane having dimensions of approximately lmm x 2mm. The membrane is supported upon its central axis by beams having torsional and transverse stiffness. The total damped area of the microphone is between approximately 1.5 and 2.5 x 10"s m2. The distance between centers of the two sides of the device is approximately 10"3 m. The resonant frequency in the rotational mode is in a range of between approximately 700 to 1,000 Hz, and the resonant frequency of the translational mode is in the range of between approximately 40,000 and 45,000 Hz. The total mass of the device is between approximately 2.0 and 3.0 x 10"8 kg. The mass moment of inertia about an axis through the supports is in a range of between approximately 9.0 and 10 x 10"15 kgm2. The damping constant is in a range of between approximately 9.5 and 10 x 10"5 N-s/m, and is designed to provide critical damping. The signals from the microphone are filter compensated to achieve a flat frequency response over a range, typically between the 250 and 8,000 Hz octave bands.
It is an object of this invention to provide an improved acoustic device . It is another object of the invention to provide a directional microphone or acoustic sensor of new design, having higher sensitivity and lower noise than do conventional directional microphones.
It is an additional object of the invention to provide a directional microphone which may be fabricated using silicon microfabrication techniques.
BRIEF DESCRIPTION OF THE DRAWINGS
A complete understanding of the present invention may be obtained by reference to the accompanying drawings, when considered in conjunction with the subsequent detailed description, in which:
FIGURE 1 illustrates a schematic, sectional view of a conventional directional microphone;
FIGURE 2 depicts a graph of a measured directional hearing aid microphone response;
FIGURES 3a and 3b show schematic, perspective and front views, respectively, of the sensing device of this invention;
FIGURE 3c depicts an alternate embodiment of the inventive differential microphone,-
FIGURE 3d depicts a perspective front view of the microphone of the invention with stiffeners and masses,-
FIGURE 4 illustrates a graph of the frequency response of the inventive differential microphone compared with a conventional differential microphone;
FIGURE 5 depicts a graph of the compensation filter response of the differential microphone of this invention compared with a conventional differential microphone; and FIGURE 6 shows a graph of the output noise of the inventive differential microphone compared to a conventional differential microphone.
DESCRIPTION OF THE PREFERRED EMBODIMENT
Generally speaking, the invention features a new, miniature acoustic sensing device or directional microphone having greater sensitivity and reduced noise. The directional microphone or acoustic sensor comprises a rigid, one micron thick, polysilicon membrane having dimensions of about 1mm x 2mm. The membrane is supported upon its center by beams having torsional and transverse stiffness.
Now referring to. FIGURE 1, a schematic of a conventional directional microphone 10 is illustrated. The most common directional microphone 10 has directivity in the approximate shape of a cardioid. The sound inlet ports 12 and 14, respectively, are spaced a distance "d" apart, and are defined by juxtaposed tubes 16 and 18 that communicate with the diaphragm 20. The two sides 22 and 24, respectively, of the microphone diaphragm 20 receive sound from the two respective inlet ports 12 and 14. The sound pressure driving the rear of the diaphragm travels through a resistive material, or damping screen 26, designed to provide a time delay. The dissipative, resistive material must be designed to create a proper time delay in order for the net pressure to have the desired directivity.
The ports, which are separated by a distance d, as aforementioned, create a net pressure on the diaphragm that may be expressed as:
(1.1) Pnet (t) = Pnetβ * = P(l - e-^r+^ωcoa(φ)^t
where i = v-1, ω is the frequency of the sound in radians/second, c is the sound speed, φ is the angle of incidence, and τ is a time delay introduced by the resistive material. Since the time delay τ and the distance "d" between the ports 12 and 14 is quite small, the argument of the exponential is small, and allows equation (1.1) to be approximated .by:
Pnet -P(l - 1 + Kωτ + -ωcos{φ))) = Pϊ(ωτ + -ω os(φ)). c c ( 1 . 2 )
The dissipative material must be designed to create the proper time delay in order for the net pressure to have the desired directivity. If the resistive material 26 is represented by an equivalent low-pass electronic circuit, the transfer function of the material is :
H = 1
(i.3) l -r iωRC
where R is the equivalent resistance, and C is the equivalent capacitance . The phase delay due to this circuit is :
ψ = —arctan(ωRC)
and the time delay is given by:
Figure imgf000008_0001
Operating the filter in the pass-band (ω < 1/ (RC) ) leads to a time delay of τ « . If the resistive material is selected to create a time delay given by τ = d/c, the net pressure becomes :
Pnet ~ tω~(l + s Osiφ)). C (1.6)
The term 1 + cos (φ) gives the familiar cardioid directivity pattern. It is important to note that the net pressure on the directional microphone is proportional to ω, and thus has a 6 dB per octave slope. The net pressure is also diminished in proportion to the distance "d" between the ports. Reducing the overall size of the sensor thus results in a proportional loss of sensitivity. Note that the 6 dB per octave slope and the dependence on dimension "d" remains even in microphones without the resistive material (τ = 0) in equation (1.2) . A microphone without the resistive material is normally called a differential microphone or a pressure gradient microphone.
Directional microphones are normally designed to operate below the resonant frequency of the diaphragm 20, which causes the response to have roughly the same frequency dependence as the net pressure. As a result, the microphone output is proportional to frequency, as in the net pressure in equation (1.6) . This is illustrated in FIGURE 2, which shows measured response of a commercially available directional microphone for hearing aids. The curve labeled "low cut" corresponds to the uncompensated directional output, and exhibits a 6 dB per octave high pass filter shape. In order to correct for this frequency response characteristic, a 6 dB per octave low pass filter is incorporated along with a gain stage to yield the "flat" response curve shown. The microphone 10 incorporates a switch to allow a user to select between the two response curves.
Although the 6 dB per octave slope of the diaphragm response can be electronically compensated in order to achieve a flat frequency response, this leads to a substantial degradation in noise performance. Any thermal noise introduced by the microphone itself, along with the l// noise created by the buffer amplifier, is amplified by the gain stage in the compensation circuit. This is a significant increase in noise, and is very undesirable in a directional microphone. Hearing aid manufacturers have found it necessary to incorporate switches on hearing aids to allow the user to switch to a nondirectional microphone in quiet environments, where the directional microphone noise proves objectionable.
The noise inherent in conventional directional microphones has caused hearing aid microphone designers to utilize a relatively large port spacing "d", of approximately d « 12 mm. This is considered to be the largest port spacing that can be used while still achieving directional response at 5 kHz, which is the highest frequency for speech signals.
The primary difficulties in creating small directional microphones result from the product cod in equation (1.6). Compensation of the output signal to achieve a flat frequency response is always accomplished electronically. This leads to the amplification of noise sources. The factor "d" indicates that the sensitivity of the device 10 is reduced as its overall size is reduced.
The invention solves these problems, by using a new mechanical structure patterned after the directionally sensitive ears of the fly Ormia ochracea. The new mechanical approach reduces the need for drastic amounts of frequency compensation. The new diaphragm design concept is very well suited for silicon microfabrication technology.
*
As explained hereinafter, with reference to FIGURES 3a and 3b, a directional microphone 30 has dimensions of 1 mm x 2 mm, and has a sensitivity, noise, and frequency response that is comparable to existing high performance miniature microphones.
The analysis of the microphone 30 is based on a lumped parameter model in which the parameters of the structure are obtained through a detailed finite element analysis. The microphone 30 has a rigid diaphragm 32 that is supported by flexible hinges 34 and 36, respectively. The diaphragm 32 has two degrees of freedom. Motion can be represented by rotation about the centerline "θ" and the displacement of the midpoint "x" . The equations of motion are:
i Iθ + ktθ + 2r(d/2)2θ = (h - /2) d/2
( II 1) m x -rkx + 2rx = i -f f2 where I is the mass moment of inertia about the pivot, kt is the torsional spring constant of the support, r is the mechanical dashpot constant, /l and /2 are the effective forces on each side due to sound pressure, m is the mass of the diaphragm 32, and k is the transverse spring constant of supports 34 and 36. If φ is the angle of incidence of the plane acoustic wave, the forces may be expressed as:
Figure imgf000011_0001
(II .2) f2 — Psβe t-d/2cos(φ)/c) _. p2&ϊωt
where s/2 is the effective area of each side of the diaphragm 32, c is the speed of sound and i = V-l. Using equations (II.2), the right sides of equations (II.1) become:
(Λ - )d/2
Figure imgf000011_0002
(ii.3) Λ + = Pscos(ωd/2cos{φ)/c)eϊωt
Figure imgf000011_0003
where it has been assumed that since d is very small relative to the wavelength of sound,
Figure imgf000011_0004
Equations (II.1), (II.2), and (II.3) enable the solutions for θ and x to be written as:
θ = θeiωt, x = Xeiωt, (II.5) where
Figure imgf000011_0005
(11.6)
and
Figure imgf000011_0006
eo-L and ω2 are the resonant frequencies of the rotational and translational modes, respectively, and ζx and ζ2 are the damping ratios. The dashpot constant may be related to the properties of the rotational mode by: (II-8) WW '
Note that the total equivalent dashpot constant is R = 2r, since two dashpots are provided with dashpot constants r.
The displacements of the middle of each side of the microphone are given by:
X! = Xι e τωτ = x + -Θ = (X + ^θ)e
( I1 " 9 ) x2 = X2e«" = x - ^θ = (X - -θ)e^
Δ 2 From equations ( II . 6 ) and (II . 7 ) ,
Figure imgf000012_0001
If the supports are designed so that ω2 is larger than the frequencies of interest, the first term in equation (11.10) can be neglected to obtain:
Figure imgf000012_0002
The overall sensitivity S may be obtained by multiplying the mechanical sensitivity given in equation (11.11) by Vb/h where Vb is the bias voltage and "h" is the thickness of the gap between the diaphragm and the biased backplate . Since the goal is to detect the pressure difference and minimize the effect of the average pressure, it is advantageous to sense the difference xα - x2 = dθ .
This also provides a factor of two increase in sensitivity, and helps to minimize the effects of electromagnetic noise sources. The overall sensitivity is then obtained using equation (II .6) ,
X - X2 Vb Vb2siω(d/2)scos{φ)/(cIh) (H . 12) ~ p h ~~ ω2 — ω2 + iω2ωιζι From equation (11.12), it appears that there is a very strong dependence on the distance "d" between the centers of the two sides. To examine the sensitivity to this parameter, it is important to note that while the mass moment of inertia "I" depends on the details of the mass distribution in the diaphragm, "I" can be roughly estimated by considering the mass on each side of the diaphragm to be concentrated at a distance d/2 from the pivot point. This gives I « (d/2)2m, so that equation (11.12) becomes
Figure imgf000013_0001
The total sensitivity is thus roughly proportional to the distance "d", and the area "s", and is inversely proportional to the total mass, "m" .
Noise Estimation
The equivalent dBA sound pressure level due to thermal noise in the' microphone may be computed from:
N « 132.5 + 10log10{4kbTR/s2) (11.14)
where kb is Boltzmann's constant (1.38 x 10"23) J/K, T is the absolute temperature, and "s" is the area over which the dashpots act. In equation (11.14) it has been taken into consideration that there are two dashpots having dashpot constants "r", so that the total equivalent dashpot constant is
R = 2r. From equation (II.8), the fact that I * (d/2)2m leads to: r —
(d/2 -)* ωiζim.
(11.15)
Combining equations (11.14) and (11.15) gives
N ∞ 132.5 + 101og10(8fcbT ιCιm/s2)
(11 . 16 ) Equation (11.16) shows that the noise is minimized by designing a structure with a low resonant frequency for rotational motion, ωλ . The damping ratio ζx should be as small as possible without resulting in unacceptable transient response. It is reasonable to design the damping in the system so that it is slightly overdamped, giving ζ: » 1. As noted above, it is preferred to construct a diaphragm with the smallest mass "m" possible.
Comparison with a Conventional Differential Microphone
Consider a conventional differential microphone shown schematically in FIGURE 1, without the damping screen 26. This causes τ = 0 in equation (1.2), so that the net pressure becomes :
Pnet Piω—cos(φ). c
(III.l)
The directivity pattern of this microphone is determined by cos (φ) , which gives it the shape of a figure eight, as expected for a differential microphone. Assume that the diaphragm is fabricated using a "conventional" approach so that it consists of a 1 μ.m silicon membrane having dimensions 1 2 mm. The displacement of the diaphragm can be approximated by:
.i tωωtτ xo + WQZO + Sωnζo^o = etαso )e
(III.2)
where ω0 is the natural frequency, ζ0 is the damping ratio, s0 is the area, and m0 is the total mass. If it is assumed that the edges of the diaphragm are clamped, the mode shape can be taken to be the product of the eigenfunctions for a clamped- clamped beam. This gives:
Figure imgf000014_0001
where φ(z) = cos(pz) — coshijpz) + D (sin(pz) - sinh(pz))
(111 . 4 ) where p = 4.730040745, and D = -0.982502215. Carrying out the integrations in equation (III.3) gives:
/ filxχ f fllyy
( 111 . 5 ) j Φ(x/lχ)Φ(y/ly)dxdy = 0.6903sn,
and la
(III . 6 )
Figure imgf000015_0001
so that α = 0 . 6903 .
As in equation ( 11.15) , if
Figure imgf000015_0002
then the complex amplitude of the response becomes: _ net<xso/m Pasotω -eos(φ)/m
(III - 8 ) ° ~ ω2 - ω2 + ιω2ω0ζo ~ ω2 - ω + >2ω0ζQ ' It is assumed that the response is detected using capacitive sensing with a back electrode that is distributed over the entire diaphragm area. The electrical output is then proportional to the surface average of the deflection. If the nominal distance between the diaphragm and the back electrode is "h", and the bias voltage is Vb, as in equation (III.8), then the electrical sensitivity of the conventional microphone becomes:
Figure imgf000015_0003
where equation (III.5) is used to express the integral in terms of α. Using equations (III.l) and (III.5) through (III.9) gives :
( IIT '
Figure imgf000015_0004
Inventive Design
Referring again to FIGURES 3a and 3b, predicted results for the sensitivity and noise performance of the differential microphone 30 are shown, and are hereinafter compared with that for the conventional differential microphone 10 illustrated in FIGURE 1.
Microphone 30 consists of a fairly rigid diaphragm 32 supported at its center by beams 34 and 36 that have been carefully designed with torsion and transverse stiffnesses. The overall dimensions are 1 mm x 2 mm, and the structure is constructed out of 1 μm thick polysilicon. The total area acted on by the dampers is thus, s = 2 x 10"6m2. The distance between the centers of the two sides is d = 1 x 10"3m. The total mass is m « 2.5 x 10 kg. The mass moment of inertia about an axis through the supports is I = 9.442 x 10"15 kgm2. The resonant frequency of the rotational mode is predicted to be 830 Hz and the frequency of the translational mode is 41,722 Hz. The rotational mode is the only mode having a frequency anywhere near the audible frequency range. This realizable structure thus behaves much like the idealized rigid bar depicted at the bottom of FIGURE 1.
The diaphragm of the conventional microphone is assumed to be a 1 μm thick polycrystalline silicon membrane having dimensions 1 x 2 mm. Both microphones thus have the same area. The natural frequency of the membrane estimated using the finite element method was found to be « 10 kHz. The mass is m0 = 4.6 x 10"9 kg.
Both microphones are assumed to have a bias voltage of Vb = 10 volts and a backplate gap of h = 5 μm. The damping constants in each design are selected to achieve critical damping so that the damping ratios are ζ = 1. This gives a damping constant for the proposed design of R = 9.8481 x 10"5, and for the conventional microphone, R0 = 5.7805 x 10"4. The sound speed is c = 344 m/s. The required damping constants are well within the range of what can be achieved with the proper design of the porous back electrode . Another approach to constructing a differential microphone that responds with rotational motion about its centerline is shown in FIGURE 3c. The operating principle is similar to that of the structure depicted in FIGURES 3a and 3b but in this case, the microphone diaphragm 32 is supported around its entire periphery 38 rather than only at flexible hinges 34 and 36. The structure 30 is designed with stiffeners 40 and masses 42, 44 that emphasize motion having a shape as shown in FIGURE 3d. The two ends of the diaphragm 32 move in opposite directions and hence rock about the centerline 45.
The predicted frequency response of the two designs, conventional and inventive, are shown in FIGURE 4.
It is assumed that the signals from each microphone 10, 30 will be compensated using a filter in order to achieve a flat frequency response over the 250 Hz through 8 kHz octave bands. The output levels of these filters are adjusted so that they are equal to the maximum output of the inventive microphone at its first resonant frequency, 830 Hz. The two filter responses are shown in FIGURE 5. The low signal level of the conventional microphone 10 at low frequencies causes it to require over 30 dB of gain. FIGURE 6 depicts both conventional and inventive microphones 10, 30 compared with respect to their noise outputs.
Since other modifications and changes varied to fit particular operating requirements and environments will be apparent to those skilled in the art, the invention is not considered limited to the example chosen for purposes of disclosure, and covers all changes and modifications which do not constitute departures from the true spirit and scope of this invention.
Having thus described the invention, what is desired to be protected by Letters Patent is presented in the subsequently appended claims .
What is claimed is:

Claims

1. An acoustic sensor having greater sensitivity and reduced noise, comprising: a rigid membrane supported upon a central axis by supports having torsional and transverse stiffness, and damping means in operative contact with said rigid membrane for critically damping said rigid membrane.
2. The acoustic sensor in accordance with claim 1, comprising a total area of the diaphragm between approximately 1.5 and 2.5 x 10 m2.
3. The acoustic sensor in accordance with claim 1, wherein said membrane has at least two sides, and further wherein a distance between centers of the at least two sides of said membrane is approximately 10~3 m.
4. The acoustic sensor in accordance with claim 1, comprising a resonant frequency in a rotational mode of between approximately 700 and 1,000 Hz.
5. The acoustic sensor in accordance with claim 1, comprising a resonant frequency in a translational mode in the range of between approximately 40,000 and 45,000 Hz.
6. The acoustic sensor in accordance with claim 1, comprising a total mass of the device between approximately 2.0 and 3.0 x 10~8 kg.
7. The acoustic sensor in accordance with claim 1, wherein a mass moment of inertia about an axis extending through said supports is in a range of between approximately 9.0 and 10 x 10" 15 kgm2.
8. The acoustic sensor in accordance with claim 1, comprising a damping constant in a range of between approximately 9.5 and 10 x 10"5 N-s/m.
9. The acoustic sensor in accordance with claim 1, comprising a sound speed between approximately 300 and 400 meters per second.
10. The acoustic sensor in accordance with claim 1, wherein said acoustic sensor is part of a hearing aid.
11. The acoustic sensor in accordance with claim 1, wherein said membrane comprises polysilicon.
12. The acoustic sensor in accordance with claim 1, wherein said membrane is approximately one micron thick.
13. The acoustic sensor in accordance with claim 1, wherein said membrane is approximately 1 mm x 2 mm.
14. A differential microphone having greater sensitivity and reduced noise, comprising: a rigid membrane supported upon a central axis by supports having torsional and transverse stiffness, and damping means in operative contact with said rigid membrane for critically damping said rigid membrane.
15. The differential microphone in accordance with claim 14, further comprising a filter operatively connected thereto, said differential microphone receiving signals that are compensated by said filter to achieve a substantially flat frequency response.
16. The differential microphone in accordance with claim 14, wherein said filter compensation is active over a range of between approximately 250 and 8,000 Hz octave bands.
17. The differential microphone in accordance with claim 14, further comprising adjustment means for said filter for adjusting output levels of the filter to a maximum output equal to that of a first resonant frequency of said differential microphone.
18. The differential microphone in accordance with claim 14, wherein said differential microphone is slightly over damped, and has substantially no resistive time delay.
19. The differential microphone in accordance with claim 14, comprising a total damped area of between approximately 1.5 and 2.5 x 10"6 m2.
20. The differential microphone in accordance with claim 14 , wherein said membrane has at least two sides , and further wherein a distance between centers of the at least two sides of said membrane is approximately 10"3 m.
21. The differential microphone in accordance with claim 14, comprising a resonant frequency in a rotational mode of between approximately 700 and 1,000 Hz.
22. The differential microphone in accordance with claim 14, comprising a resonant frequency in a translational mode in a range of between approximately 40,000 and 45,000 Hz.
23. The differential microphone in accordance with claim 14, comprising a total mass of the device between approximately 2.0 and 3.0 x 10"8 kg.
24. The differential microphone in accordance with claim 14 , wherein a mass moment of inertia about an axis extending through said supports is in a range of between approximately 9.0 and 10 x 10"1S kgm2.
25. The differential microphone in accordance with claim 14, comprising a damping constant in a range of between approximately 9.5 and 10 x 10"5 microns.
26. The differential microphone in accordance with claim 14, wherein said differential microphone is part of a hearing aid.
27. The differential microphone in accordance with claim 14, wherein said membrane comprises polysilicon.
28. The differential microphone in accordance with claim 14, wherein said membrane is approximately one micron thick.
29. The differential microphone in accordance with claim 14 , wherein said membrane is approximately 1 mm x 2 mm.
30. The differential microphone in accordance with claim 20, wherein the gradient of sound pressure causes each of said at least two sides of said membrane to move relative to one another in substantially opposite directions.
31. The differential microphone in accordance with claim 14, wherein said differential microphone is part of telecommunications equipment .
32. The differential microphone in accordance with claim 14, wherein said differential microphone is part of military equipment .
PCT/US2002/024995 2002-08-07 2002-08-07 Differential microphone WO2004016041A1 (en)

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US11418873B2 (en) 2020-11-03 2022-08-16 Edward J. Simon Surveillance microphone

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