Abstract

Acousto-optic processing of images is based on the angular selectivity of acousto-optic interaction resulting in spatial filtration of the image spectrum. We present recent theoretical and experimental investigations carried out in this field. Much attention is given to the analysis of the acousto-optic cell transfer function form depending on the crystal cut, the geometry of acousto-optic interaction, and the ultrasound frequency. Computer simulation results of the two-dimensional acousto-optic spatial filtration of some elementary images are presented. A new method of phase object visualization is suggested and examined that makes it possible to separate amplitude and phase information contained in an optical image. The potentialities of the acousto-optic image processing are experimentally demonstrated by examples of edge enhancement and optical wavefront visualization effects.

© 2008 Optical Society of America

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References

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  1. V. I. Balakshy, V. N. Parygin, and L. E. Chirkov, Physical Principles of Acousto-Optics (Radio & Svyaz, 1985).
  2. A. Korpel, Acousto-Optics, 2nd ed. (Marcel Dekker, 1996).
  3. J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).
  4. V. I. Balakshy, “Acousto-optic cell as a filter of spatial frequencies,” Radiotekh. Elektron. 29, 1610-1616 (1984).
  5. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  6. V. N. Parygin and V. I. Balakshy, Optical Information Processing (Moscow Univ. Publ., 1987).
  7. V. I. Balakshy and A. G. Kukushkin, “Visualization of phase objects at Bragg diffraction of light,” Opt. Spectrosk. 64, 99-103 (1988).
  8. V. I. Balakshy, C. D. Grigorov, and M. A. Kolosov, “Acousto-optic visualization of phase objects,” Opt. Spectrosk. 68, 1381-1385 (1990).
  9. P. P. Banerjee, D. Cao, P. M. Gibbs, and T.-C. Poon, “Image propagation through acoustooptic devices,” Proc. SPIE 2463, 158-165 (1995).
    [CrossRef]
  10. J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
    [CrossRef]
  11. V. I. Balakshy, “Application of acoustooptic interaction for holographic conversion of light fields,” Opt. Laser Technol. 28, 109-117 (1996).
    [CrossRef]
  12. P. P. Banerjee, D. Cao, and T.-C. Poon, “Basic image processing operations by use of acousto-optics,” Appl. Opt. 36, 3086-3089 (1997).
    [CrossRef] [PubMed]
  13. C. W. Tarn, “Spatial Fourier transform approach to the study of polarization changing and beam profile deformation of light during Bragg acousto-optic interaction with longitudinal and shear waves in isotropic media,” J. Opt. Soc. Am. A 14, 2231-2242 (1997).
    [CrossRef]
  14. P. P. Banerjee and T.-C. Poon, “Lensless spatial filtering using acousto-optic modulators,” Proc. SPIE 3581, 48-57(1998).
    [CrossRef]
  15. D. Cao, P. P. Banerjee, and T.-C. Poon, “Image edge enhancement using two cascaded acousto-optic cells with contra-propagating sound,” Appl. Opt. 37, 3007-3014(1998).
    [CrossRef]
  16. T.-C. Poon and P. P. Banerjee, “Two-dimensional feature extraction and beam fanning suppression using acousto-optics,” Proc. SPIE 4514, 61-74 (2001).
    [CrossRef]
  17. V. B. Voloshinov, V. Y. Molchanov, and T. M. Babkina, “Two-dimensional selection of optical spatial frequencies by acousto-optic methods,” Opt. Eng. 41, 1273-1280 (2002).
    [CrossRef]
  18. V. I. Balakshy and D. E. Kostyuk, “Application of acousto-optic selectivity for optical image processing,” Proc. SPIE 5828, 95-104 (2004).
    [CrossRef]
  19. V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
    [CrossRef]
  20. V. I. Balakshy and V. B. Voloshinov, “Acousto-optic image processing in coherent light,” Quantum Electron. 35, 85-90(2005).
    [CrossRef]
  21. A. Korpel, “Two-dimensional plane wave theory of strong acousto-optic interaction in isotropic media,” J. Opt. Soc. Am. 69, 678-683 (1979).
    [CrossRef]
  22. A. Korpel and T.-C. Poon, “Explicit formalism for acousto-optic multiple plane-wave scattering,” J. Opt. Soc. Am. 70, 817-820 (1980).
    [CrossRef]
  23. A. Korpel, H. H. Lin, and D. J. Mehrl, “Use of angular plane-wave spectra in the analysis of three-dimensional weak acousto-optic interaction,” J. Opt. Soc. Am. A 4, 2260-2265(1987).
    [CrossRef]
  24. M. R. Chatterjee, T.-C. Poon, and D. N. Sitter, Jr., “Transfer function formalism for strong acousto-optic Bragg diffraction of light beams with arbitrary profiles,” Acoustica 71, 81-92(1990).
  25. V. I. Balakshy, K. R. Asratyan, and V. Y. Molchanov, “Acousto-optic collinear diffraction of a strongly divergent optical beam,” Pure Appl. Opt. 3, S87-S92 (2001).
    [CrossRef]
  26. V. I. Balakshy and D. E. Kostyuk, “Spatial structure of acousto-optic phase matching in uniaxial crystals,” Opt. Spectrosc. 101, 283-289 (2006).
    [CrossRef]
  27. M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).
  28. V. I. Balakshy, V. N. Parygin, and H. A. Upasena, “On the possibility of light field phase structure registration by means of an acousto-optic method,” Kvantovaya Elektron. 8, 865-872(1981).
  29. V. I. Balakshy and D. E. Kostyuk, “Phase object visualization at Bragg acousto-optic interaction,” Proc. SPIE 5828, 84-94(2004).
    [CrossRef]
  30. V. I. Balakshy and D. E. Kostyuk, “Application of tangential geometry of the acousto-optical interaction to visualization of phase objects,” Opt. Spectrosc. 104, 760-766 (2008).
    [CrossRef]

2008

V. I. Balakshy and D. E. Kostyuk, “Application of tangential geometry of the acousto-optical interaction to visualization of phase objects,” Opt. Spectrosc. 104, 760-766 (2008).
[CrossRef]

2006

V. I. Balakshy and D. E. Kostyuk, “Spatial structure of acousto-optic phase matching in uniaxial crystals,” Opt. Spectrosc. 101, 283-289 (2006).
[CrossRef]

2005

V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
[CrossRef]

V. I. Balakshy and V. B. Voloshinov, “Acousto-optic image processing in coherent light,” Quantum Electron. 35, 85-90(2005).
[CrossRef]

2004

V. I. Balakshy and D. E. Kostyuk, “Application of acousto-optic selectivity for optical image processing,” Proc. SPIE 5828, 95-104 (2004).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Phase object visualization at Bragg acousto-optic interaction,” Proc. SPIE 5828, 84-94(2004).
[CrossRef]

2002

V. B. Voloshinov, V. Y. Molchanov, and T. M. Babkina, “Two-dimensional selection of optical spatial frequencies by acousto-optic methods,” Opt. Eng. 41, 1273-1280 (2002).
[CrossRef]

2001

T.-C. Poon and P. P. Banerjee, “Two-dimensional feature extraction and beam fanning suppression using acousto-optics,” Proc. SPIE 4514, 61-74 (2001).
[CrossRef]

V. I. Balakshy, K. R. Asratyan, and V. Y. Molchanov, “Acousto-optic collinear diffraction of a strongly divergent optical beam,” Pure Appl. Opt. 3, S87-S92 (2001).
[CrossRef]

1998

1997

1996

J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
[CrossRef]

V. I. Balakshy, “Application of acoustooptic interaction for holographic conversion of light fields,” Opt. Laser Technol. 28, 109-117 (1996).
[CrossRef]

1995

P. P. Banerjee, D. Cao, P. M. Gibbs, and T.-C. Poon, “Image propagation through acoustooptic devices,” Proc. SPIE 2463, 158-165 (1995).
[CrossRef]

1990

V. I. Balakshy, C. D. Grigorov, and M. A. Kolosov, “Acousto-optic visualization of phase objects,” Opt. Spectrosk. 68, 1381-1385 (1990).

M. R. Chatterjee, T.-C. Poon, and D. N. Sitter, Jr., “Transfer function formalism for strong acousto-optic Bragg diffraction of light beams with arbitrary profiles,” Acoustica 71, 81-92(1990).

1988

V. I. Balakshy and A. G. Kukushkin, “Visualization of phase objects at Bragg diffraction of light,” Opt. Spectrosk. 64, 99-103 (1988).

1987

1984

V. I. Balakshy, “Acousto-optic cell as a filter of spatial frequencies,” Radiotekh. Elektron. 29, 1610-1616 (1984).

1981

V. I. Balakshy, V. N. Parygin, and H. A. Upasena, “On the possibility of light field phase structure registration by means of an acousto-optic method,” Kvantovaya Elektron. 8, 865-872(1981).

1980

1979

Asratyan, K. R.

V. I. Balakshy, K. R. Asratyan, and V. Y. Molchanov, “Acousto-optic collinear diffraction of a strongly divergent optical beam,” Pure Appl. Opt. 3, S87-S92 (2001).
[CrossRef]

Babkina, T. M.

V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
[CrossRef]

V. B. Voloshinov, V. Y. Molchanov, and T. M. Babkina, “Two-dimensional selection of optical spatial frequencies by acousto-optic methods,” Opt. Eng. 41, 1273-1280 (2002).
[CrossRef]

Balakshy, V. I.

V. I. Balakshy and D. E. Kostyuk, “Application of tangential geometry of the acousto-optical interaction to visualization of phase objects,” Opt. Spectrosc. 104, 760-766 (2008).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Spatial structure of acousto-optic phase matching in uniaxial crystals,” Opt. Spectrosc. 101, 283-289 (2006).
[CrossRef]

V. I. Balakshy and V. B. Voloshinov, “Acousto-optic image processing in coherent light,” Quantum Electron. 35, 85-90(2005).
[CrossRef]

V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Application of acousto-optic selectivity for optical image processing,” Proc. SPIE 5828, 95-104 (2004).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Phase object visualization at Bragg acousto-optic interaction,” Proc. SPIE 5828, 84-94(2004).
[CrossRef]

V. I. Balakshy, K. R. Asratyan, and V. Y. Molchanov, “Acousto-optic collinear diffraction of a strongly divergent optical beam,” Pure Appl. Opt. 3, S87-S92 (2001).
[CrossRef]

V. I. Balakshy, “Application of acoustooptic interaction for holographic conversion of light fields,” Opt. Laser Technol. 28, 109-117 (1996).
[CrossRef]

V. I. Balakshy, C. D. Grigorov, and M. A. Kolosov, “Acousto-optic visualization of phase objects,” Opt. Spectrosk. 68, 1381-1385 (1990).

V. I. Balakshy and A. G. Kukushkin, “Visualization of phase objects at Bragg diffraction of light,” Opt. Spectrosk. 64, 99-103 (1988).

V. I. Balakshy, “Acousto-optic cell as a filter of spatial frequencies,” Radiotekh. Elektron. 29, 1610-1616 (1984).

V. I. Balakshy, V. N. Parygin, and H. A. Upasena, “On the possibility of light field phase structure registration by means of an acousto-optic method,” Kvantovaya Elektron. 8, 865-872(1981).

V. N. Parygin and V. I. Balakshy, Optical Information Processing (Moscow Univ. Publ., 1987).

V. I. Balakshy, V. N. Parygin, and L. E. Chirkov, Physical Principles of Acousto-Optics (Radio & Svyaz, 1985).

Banerjee, P. P.

T.-C. Poon and P. P. Banerjee, “Two-dimensional feature extraction and beam fanning suppression using acousto-optics,” Proc. SPIE 4514, 61-74 (2001).
[CrossRef]

P. P. Banerjee and T.-C. Poon, “Lensless spatial filtering using acousto-optic modulators,” Proc. SPIE 3581, 48-57(1998).
[CrossRef]

D. Cao, P. P. Banerjee, and T.-C. Poon, “Image edge enhancement using two cascaded acousto-optic cells with contra-propagating sound,” Appl. Opt. 37, 3007-3014(1998).
[CrossRef]

P. P. Banerjee, D. Cao, and T.-C. Poon, “Basic image processing operations by use of acousto-optics,” Appl. Opt. 36, 3086-3089 (1997).
[CrossRef] [PubMed]

J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
[CrossRef]

P. P. Banerjee, D. Cao, P. M. Gibbs, and T.-C. Poon, “Image propagation through acoustooptic devices,” Proc. SPIE 2463, 158-165 (1995).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).

Cao, D.

Chatterjee, M. R.

M. R. Chatterjee, T.-C. Poon, and D. N. Sitter, Jr., “Transfer function formalism for strong acousto-optic Bragg diffraction of light beams with arbitrary profiles,” Acoustica 71, 81-92(1990).

Chirkov, L. E.

V. I. Balakshy, V. N. Parygin, and L. E. Chirkov, Physical Principles of Acousto-Optics (Radio & Svyaz, 1985).

Dunn, D.

J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
[CrossRef]

Gibbs, P. M.

P. P. Banerjee, D. Cao, P. M. Gibbs, and T.-C. Poon, “Image propagation through acoustooptic devices,” Proc. SPIE 2463, 158-165 (1995).
[CrossRef]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).

Grigorov, C. D.

V. I. Balakshy, C. D. Grigorov, and M. A. Kolosov, “Acousto-optic visualization of phase objects,” Opt. Spectrosk. 68, 1381-1385 (1990).

Kolosov, M. A.

V. I. Balakshy, C. D. Grigorov, and M. A. Kolosov, “Acousto-optic visualization of phase objects,” Opt. Spectrosk. 68, 1381-1385 (1990).

Korpel, A.

Kostyuk, D. E.

V. I. Balakshy and D. E. Kostyuk, “Application of tangential geometry of the acousto-optical interaction to visualization of phase objects,” Opt. Spectrosc. 104, 760-766 (2008).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Spatial structure of acousto-optic phase matching in uniaxial crystals,” Opt. Spectrosc. 101, 283-289 (2006).
[CrossRef]

V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Phase object visualization at Bragg acousto-optic interaction,” Proc. SPIE 5828, 84-94(2004).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Application of acousto-optic selectivity for optical image processing,” Proc. SPIE 5828, 95-104 (2004).
[CrossRef]

Kukushkin, A. G.

V. I. Balakshy and A. G. Kukushkin, “Visualization of phase objects at Bragg diffraction of light,” Opt. Spectrosk. 64, 99-103 (1988).

Lin, H. H.

Mehrl, D. J.

Molchanov, V. Y.

V. B. Voloshinov, V. Y. Molchanov, and T. M. Babkina, “Two-dimensional selection of optical spatial frequencies by acousto-optic methods,” Opt. Eng. 41, 1273-1280 (2002).
[CrossRef]

V. I. Balakshy, K. R. Asratyan, and V. Y. Molchanov, “Acousto-optic collinear diffraction of a strongly divergent optical beam,” Pure Appl. Opt. 3, S87-S92 (2001).
[CrossRef]

Parygin, V. N.

V. I. Balakshy, V. N. Parygin, and H. A. Upasena, “On the possibility of light field phase structure registration by means of an acousto-optic method,” Kvantovaya Elektron. 8, 865-872(1981).

V. N. Parygin and V. I. Balakshy, Optical Information Processing (Moscow Univ. Publ., 1987).

V. I. Balakshy, V. N. Parygin, and L. E. Chirkov, Physical Principles of Acousto-Optics (Radio & Svyaz, 1985).

Poon, T.-C.

T.-C. Poon and P. P. Banerjee, “Two-dimensional feature extraction and beam fanning suppression using acousto-optics,” Proc. SPIE 4514, 61-74 (2001).
[CrossRef]

P. P. Banerjee and T.-C. Poon, “Lensless spatial filtering using acousto-optic modulators,” Proc. SPIE 3581, 48-57(1998).
[CrossRef]

D. Cao, P. P. Banerjee, and T.-C. Poon, “Image edge enhancement using two cascaded acousto-optic cells with contra-propagating sound,” Appl. Opt. 37, 3007-3014(1998).
[CrossRef]

P. P. Banerjee, D. Cao, and T.-C. Poon, “Basic image processing operations by use of acousto-optics,” Appl. Opt. 36, 3086-3089 (1997).
[CrossRef] [PubMed]

J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
[CrossRef]

P. P. Banerjee, D. Cao, P. M. Gibbs, and T.-C. Poon, “Image propagation through acoustooptic devices,” Proc. SPIE 2463, 158-165 (1995).
[CrossRef]

M. R. Chatterjee, T.-C. Poon, and D. N. Sitter, Jr., “Transfer function formalism for strong acousto-optic Bragg diffraction of light beams with arbitrary profiles,” Acoustica 71, 81-92(1990).

A. Korpel and T.-C. Poon, “Explicit formalism for acousto-optic multiple plane-wave scattering,” J. Opt. Soc. Am. 70, 817-820 (1980).
[CrossRef]

Sitter, D. N.

M. R. Chatterjee, T.-C. Poon, and D. N. Sitter, Jr., “Transfer function formalism for strong acousto-optic Bragg diffraction of light beams with arbitrary profiles,” Acoustica 71, 81-92(1990).

Stroud, R.

J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).

Tarn, C. W.

Upasena, H. A.

V. I. Balakshy, V. N. Parygin, and H. A. Upasena, “On the possibility of light field phase structure registration by means of an acousto-optic method,” Kvantovaya Elektron. 8, 865-872(1981).

Voloshinov, V. B.

V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
[CrossRef]

V. I. Balakshy and V. B. Voloshinov, “Acousto-optic image processing in coherent light,” Quantum Electron. 35, 85-90(2005).
[CrossRef]

V. B. Voloshinov, V. Y. Molchanov, and T. M. Babkina, “Two-dimensional selection of optical spatial frequencies by acousto-optic methods,” Opt. Eng. 41, 1273-1280 (2002).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).

Xia, J.

J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
[CrossRef]

Xu, J.

J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).

Acoustica

M. R. Chatterjee, T.-C. Poon, and D. N. Sitter, Jr., “Transfer function formalism for strong acousto-optic Bragg diffraction of light beams with arbitrary profiles,” Acoustica 71, 81-92(1990).

Appl. Opt.

J. Mod. Opt.

V. I. Balakshy, V. B. Voloshinov, T. M. Babkina, and D. E. Kostyuk, “Optical image processing by means of acousto-optic spatial filtration,” J. Mod. Opt. 52, 1-20(2005).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Kvantovaya Elektron.

V. I. Balakshy, V. N. Parygin, and H. A. Upasena, “On the possibility of light field phase structure registration by means of an acousto-optic method,” Kvantovaya Elektron. 8, 865-872(1981).

Opt. Commun.

J. Xia, D. Dunn, T.-C. Poon, and P. P. Banerjee, “Image edge enhancement by Bragg diffraction,” Opt. Commun. 128, 1-7 (1996).
[CrossRef]

Opt. Eng.

V. B. Voloshinov, V. Y. Molchanov, and T. M. Babkina, “Two-dimensional selection of optical spatial frequencies by acousto-optic methods,” Opt. Eng. 41, 1273-1280 (2002).
[CrossRef]

Opt. Laser Technol.

V. I. Balakshy, “Application of acoustooptic interaction for holographic conversion of light fields,” Opt. Laser Technol. 28, 109-117 (1996).
[CrossRef]

Opt. Spectrosc.

V. I. Balakshy and D. E. Kostyuk, “Spatial structure of acousto-optic phase matching in uniaxial crystals,” Opt. Spectrosc. 101, 283-289 (2006).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Application of tangential geometry of the acousto-optical interaction to visualization of phase objects,” Opt. Spectrosc. 104, 760-766 (2008).
[CrossRef]

Opt. Spectrosk.

V. I. Balakshy and A. G. Kukushkin, “Visualization of phase objects at Bragg diffraction of light,” Opt. Spectrosk. 64, 99-103 (1988).

V. I. Balakshy, C. D. Grigorov, and M. A. Kolosov, “Acousto-optic visualization of phase objects,” Opt. Spectrosk. 68, 1381-1385 (1990).

Proc. SPIE

P. P. Banerjee, D. Cao, P. M. Gibbs, and T.-C. Poon, “Image propagation through acoustooptic devices,” Proc. SPIE 2463, 158-165 (1995).
[CrossRef]

T.-C. Poon and P. P. Banerjee, “Two-dimensional feature extraction and beam fanning suppression using acousto-optics,” Proc. SPIE 4514, 61-74 (2001).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Application of acousto-optic selectivity for optical image processing,” Proc. SPIE 5828, 95-104 (2004).
[CrossRef]

P. P. Banerjee and T.-C. Poon, “Lensless spatial filtering using acousto-optic modulators,” Proc. SPIE 3581, 48-57(1998).
[CrossRef]

V. I. Balakshy and D. E. Kostyuk, “Phase object visualization at Bragg acousto-optic interaction,” Proc. SPIE 5828, 84-94(2004).
[CrossRef]

Pure Appl. Opt.

V. I. Balakshy, K. R. Asratyan, and V. Y. Molchanov, “Acousto-optic collinear diffraction of a strongly divergent optical beam,” Pure Appl. Opt. 3, S87-S92 (2001).
[CrossRef]

Quantum Electron.

V. I. Balakshy and V. B. Voloshinov, “Acousto-optic image processing in coherent light,” Quantum Electron. 35, 85-90(2005).
[CrossRef]

Radiotekh. Elektron.

V. I. Balakshy, “Acousto-optic cell as a filter of spatial frequencies,” Radiotekh. Elektron. 29, 1610-1616 (1984).

Other

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).

V. N. Parygin and V. I. Balakshy, Optical Information Processing (Moscow Univ. Publ., 1987).

V. I. Balakshy, V. N. Parygin, and L. E. Chirkov, Physical Principles of Acousto-Optics (Radio & Svyaz, 1985).

A. Korpel, Acousto-Optics, 2nd ed. (Marcel Dekker, 1996).

J. Xu and R. Stroud, Acousto-Optic Devices (Wiley, 1992).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1964).

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Figures (7)

Fig. 1
Fig. 1

Transfer function of the 1st order at isotropic Bragg diffraction.

Fig. 2
Fig. 2

Transfer function of the 1st order at anisotropic Bragg diffraction in crystals Ca Mo O 4 (a)–(c) and Te O 2 (d)–(f). (a) f = f c = 46.62 MHz , (b) f = 46.55 MHz , (c) f = 46.7 MHz , (d) f = f t = 119.5 MHz , (e) f = 119.7 MHz , (f) f = 119.8 MHz .

Fig. 3
Fig. 3

Experimental visualization of transfer functions in cases of isotropic diffraction (a), collinear diffraction, (b) and tangential diffraction (c).

Fig. 4
Fig. 4

Computer simulation of AO image processing by examples of image integration (b), omnidirectional differentiation (c), and unidirectional differentiation (d).

Fig. 5
Fig. 5

AO image processing. Experimental results.

Fig. 6
Fig. 6

Computer simulation of amplitude-phase image processing. (a), (b) output images at different positions of the operating point, (c) wavefront form obtained after electronic processing of images (a) and (b).

Fig. 7
Fig. 7

Experimental results of phase object visualization. (a) initial image, (b), (c) output images obtained at different positions of the operating point, (d) result of electronic processing.

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

U d ( θ d ) = exp ( j Ω t ) U i ( θ i ) H ( 1 ) ( θ i ) δ ( θ d K k θ i ) d θ i ,
H ( 1 ) ( θ i ) = ( A 2 ) sinc ( A 2 + R ( θ i ) 2 2 π ) ,
H ( 1 ) ( θ i ) = A 2 sinc R 2 π = A 2 sinc [ K l 2 π ( θ i θ B ) ] .
Δ θ i = 0.89 V l f = 0.89 ϕ S , d min = 1.22 λ l f n V = 1.22 λ n ϕ S ,
H ( 0 ) ( θ i ) = [ cos ( A 2 + R ( θ i ) 2 2 ) j R ( θ i ) 2 sinc ( A 2 + R ( θ i ) 2 2 π ) ] exp ( j R ( θ i ) 2 ) .
R = 2 π l λ ( n i sin θ i ± n d 2 n i 2 cos 2 θ i λ f V ) ,
1 %
R ( θ i , χ ) = 2 π l λ ( n i cos θ i cos χ n d 2 ( n i sin θ i + λ f V ) 2 n i cos 2 θ i sin 2 χ ) .
θ i ( z ) = 1 k · d γ d x γ k .
I d ( x ) = u 0 2 ( x ) A 2 4 sinc 2 [ K l 2 π ( Δ θ + γ ( x ) k ) ] ,
I d ( x ) = u 0 2 ( x ) A 2 4 [ sinc 2 C + 2 sinc C π C 2 ( π C cos π C sin π C ) λ l f 2 π V n γ ( x ) ] ,
θ 0 ( ± ) = θ B ± V 2 l f = θ B ± ϕ S 2 ,
I d ( ± ) = u 0 2 ( x ) A 2 π 2 [ 1 2 π λ l f V n γ ( x ) ] .
I am I d ( + ) + I d ( ) = u 0 2 ( x ) 2 A 2 π 2 , I ph I d ( ) I d ( + ) I d ( ) + I d ( + ) = 2 π λ l f V n γ ( x ) .
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