Abstract

A new optimization technique, stochastic parallel-gradient descent, is applied for high-resolution adaptive wave-front correction. A performance criterion for parallel-perturbation-based algorithms is introduced and applied to optimize adaptive system architecture. We present numerical simulation results for an adaptive imaging system based on the stochastic parallel-perturbation technique, along with experimental results obtained for a white-light adaptive imaging system with 37 control channels. An adaptive system with a self-organized (adaptive) control channel hierarchy is introduced and analyzed.

© 1998 Optical Society of America

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    [CrossRef]
  36. R. Dou, D. V. Pruidze, J. C. Ricklin, V. P. Sivokon, M. A. Vorontsov, “Coherent optical processor for image-quality metric measurement,” in Propagation and Imaging through the Atmosphere, L. Bissonnette, C. Dainty, eds., Proc. SPIE3125, 339–343 (1997).
  37. M. A. Vorontsov, J. C. Ricklin, G. W. Carhart, “Optical simulation of phase distorted imaging systems: nonlinear and adaptive approach,” Opt. Eng. (Bellingham) 34, 3229–3238 (1995).
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1998

1997

M. A. Vorontsov, G. W. Carhart, J. C. Ricklin, “Adaptive phase-distortion correction based on parallel gradient-descent optimization,” Opt. Lett. 22, 907–909 (1997); G. W. Carhart, J. C. Ricklin, V. P. Sivokon, M. A. Vorontsov, “Parallel perturbation gradient descent algorithm for adaptive wavefront correction,” in Adaptive Optics and Applications, R. Tyson, R. Fugate, eds., Proc. SPIE3126, 221–227 (1997).
[CrossRef] [PubMed]

P. R. Barbier, G. Moddel, “Spatial light modulators: processing light in real time,” Opt. Photonics News 8, 16–21 (March1997).
[CrossRef]

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

G. Cauwenberghs, “Analog VLSI stochastic perturbative learning architectures,” Int. J. Analog Integr. Circ. Signal Process. 13, 195–209 (1997).
[CrossRef]

M. A. Vorontsov, G. W. Carhart, D. V. Pruidze, J. C. Ricklin, D. G. Voelz, “Adaptive imaging system for phase-distorted extended source/multiple distance objects,” Appl. Opt. 36, 3319–3328 (1997).
[CrossRef] [PubMed]

1996

1995

G. B. Love, J. S. Fender, S. R. Restaino, “Adaptive wavefront shaping with liquid crystals,” Opt. Photonics News 6, 16–21 (October1995).
[CrossRef]

M. A. Vorontsov, J. C. Ricklin, G. W. Carhart, “Optical simulation of phase distorted imaging systems: nonlinear and adaptive approach,” Opt. Eng. (Bellingham) 34, 3229–3238 (1995).
[CrossRef]

G. V. Vdovin, P. M. Sarro, “Flexible mirror micromachined in silicon,” Appl. Opt. 34, 2968–2972 (1995).
[CrossRef] [PubMed]

1994

Special issues on Atmospheric-Compensation Technology, J. Opt. Soc. Am. A 11(1) and (2), 255–451, 779–945 (1994).

1993

J. M. Beckers, “Adaptive optics for astronomy: principles, performance, and applications,” Annu. Rev. Astron. Astrophys. 31, 13–62 (1993).
[CrossRef]

J. M. Younse, “Mirrors on a Chip,” IEEE Spectr. 30, 27–31 (November1993).
[CrossRef]

1992

1990

1977

1976

1965

Aarts, E. H. L.

P. J. M. van Luarhoven, E. H. L. Aarts, Stimulated Annealing: Theory and Applications (Reidel, Dordrecht, The Netherlands, 1987).

Alley, T. G.

Alspector, J.

J. Alspector, R. Meir, B. Yuhas, A. Jayakumar, “A parallel gradient descent method for learning in analog VLSI neural networks,” in Advances in Neural Information Processing Systems, J. D. Cowan, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 836–844.

Avriel, M.

M. Avriel, Nonlinear Programming: Analysis and Methods (Prentice-Hall, Englewood Cliffs, N.J., 1976).

Barbier, P. R.

P. R. Barbier, G. Moddel, “Spatial light modulators: processing light in real time,” Opt. Photonics News 8, 16–21 (March1997).
[CrossRef]

Barr, A. H.

D. B. Kirk, D. Kerns, K. Fleischer, A. H. Barr, “Analog VLSI implementation of multidimensional gradient descent,” in Advances in Neural Information Processing Systems, C. L. Giles, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 789–796.

Beckers, J. M.

J. M. Beckers, “Adaptive optics for astronomy: principles, performance, and applications,” Annu. Rev. Astron. Astrophys. 31, 13–62 (1993).
[CrossRef]

Bright, V. M.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

Carhart, G. W.

Cauwenberghs, G.

G. Cauwenberghs, “Analog VLSI stochastic perturbative learning architectures,” Int. J. Analog Integr. Circ. Signal Process. 13, 195–209 (1997).
[CrossRef]

G. Cauwenberghs, “A fast stochastic error-descent algorithm for supervised learning and optimization,” in Advances in Neural Information Processing Systems, S. J. Hanson, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 244–251.

Clark, D. S.

H. J. Kushner, D. S. Clark, Stochastic Approximation Methods for Constrained and Unconstrained Systems (Springer-Verlag, New York, 1987).

Comtois, J. H.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

Cowan, W. D.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

Dembo, A.

A. Dembo, T. Kailath, “Model-free distributed learning,” IEEE Trans. Neural Netw. 1, 58–70 (1990).
[CrossRef] [PubMed]

Dou, R.

R. Dou, D. V. Pruidze, J. C. Ricklin, V. P. Sivokon, M. A. Vorontsov, “Coherent optical processor for image-quality metric measurement,” in Propagation and Imaging through the Atmosphere, L. Bissonnette, C. Dainty, eds., Proc. SPIE3125, 339–343 (1997).

Fender, J. S.

G. B. Love, J. S. Fender, S. R. Restaino, “Adaptive wavefront shaping with liquid crystals,” Opt. Photonics News 6, 16–21 (October1995).
[CrossRef]

Fienup, J. R.

Fleischer, K.

D. B. Kirk, D. Kerns, K. Fleischer, A. H. Barr, “Analog VLSI implementation of multidimensional gradient descent,” in Advances in Neural Information Processing Systems, C. L. Giles, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 789–796.

Fried, D. L.

Gaeta, C. J.

D. M. Pepper, C. J. Gaeta, P. V. Mitchell, “Real-time holography, innovative adaptive optics, and compensated optical processors using spatial light modulators,” in Spatial Light Modulator Technology: Materials, Devices, and Applications, U. Efron, ed. (Marcel Dekker, New York, 1995), pp. 585–654.

Goldfischer, L. I.

Goodman, J. W.

J. W. Goodman, Statistical Optics (Wiley, New York, 1985).

Greenwood, D. P.

Hick, S. R.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

Jayakumar, A.

J. Alspector, R. Meir, B. Yuhas, A. Jayakumar, “A parallel gradient descent method for learning in analog VLSI neural networks,” in Advances in Neural Information Processing Systems, J. D. Cowan, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 836–844.

Kailath, T.

A. Dembo, T. Kailath, “Model-free distributed learning,” IEEE Trans. Neural Netw. 1, 58–70 (1990).
[CrossRef] [PubMed]

Kerns, D.

D. B. Kirk, D. Kerns, K. Fleischer, A. H. Barr, “Analog VLSI implementation of multidimensional gradient descent,” in Advances in Neural Information Processing Systems, C. L. Giles, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 789–796.

Kirk, D. B.

D. B. Kirk, D. Kerns, K. Fleischer, A. H. Barr, “Analog VLSI implementation of multidimensional gradient descent,” in Advances in Neural Information Processing Systems, C. L. Giles, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 789–796.

Kramer, M. A.

Kushner, H. J.

H. J. Kushner, D. S. Clark, Stochastic Approximation Methods for Constrained and Unconstrained Systems (Springer-Verlag, New York, 1987).

Lawrence, D.

D. Lawrence, Genetic Algorithm and Stimulated Annealing (Morgan Kaufman, Los Altos, Calif., 1987).

Love, G. B.

G. B. Love, J. S. Fender, S. R. Restaino, “Adaptive wavefront shaping with liquid crystals,” Opt. Photonics News 6, 16–21 (October1995).
[CrossRef]

Mahlab, U.

Mandel, L.

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).

Martinez, D. R.

Meir, R.

J. Alspector, R. Meir, B. Yuhas, A. Jayakumar, “A parallel gradient descent method for learning in analog VLSI neural networks,” in Advances in Neural Information Processing Systems, J. D. Cowan, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 836–844.

Mitchell, P. V.

D. M. Pepper, C. J. Gaeta, P. V. Mitchell, “Real-time holography, innovative adaptive optics, and compensated optical processors using spatial light modulators,” in Spatial Light Modulator Technology: Materials, Devices, and Applications, U. Efron, ed. (Marcel Dekker, New York, 1995), pp. 585–654.

Moddel, G.

P. R. Barbier, G. Moddel, “Spatial light modulators: processing light in real time,” Opt. Photonics News 8, 16–21 (March1997).
[CrossRef]

Noll, R. J.

O’Meara, T. R.

Paxman, R. G.

Pepper, D. M.

D. M. Pepper, C. J. Gaeta, P. V. Mitchell, “Real-time holography, innovative adaptive optics, and compensated optical processors using spatial light modulators,” in Spatial Light Modulator Technology: Materials, Devices, and Applications, U. Efron, ed. (Marcel Dekker, New York, 1995), pp. 585–654.

Pilipetsky, N. F.

B. Ya. Zel’dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).

Polejaev, V. I.

V. I. Polejaev, M. A. Vorontsov, “Adaptive active imaging system based on radiation focusing for extended targets,” in Adaptive Optics and Applications, R. Tyson, R. Fugate, eds., Proc. SPIE3126, 216–220 (1997).

Pruidze, D. V.

Restaino, S. R.

G. B. Love, J. S. Fender, S. R. Restaino, “Adaptive wavefront shaping with liquid crystals,” Opt. Photonics News 6, 16–21 (October1995).
[CrossRef]

Ricklin, J. C.

Roberts, P. C.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

Roggeman, M. C.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

Roggemann, M. C.

M. C. Roggemann, B. M. Welsh, Imaging Through Turbulence (CRC Press, Boca Raton, Fla., 1996).

Sarro, P. M.

Schelonka, L. P.

Schulz, T. J.

Shamir, J.

Shkunov, V. V.

B. Ya. Zel’dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).

Sivokon, V. P.

V. P. Sivokon, M. A. Vorontsov, “High-resolution adaptive phase distortion suppression based solely on intensity information,” J. Opt. Soc. Am. A 15, 234–247 (1998).
[CrossRef]

R. Dou, D. V. Pruidze, J. C. Ricklin, V. P. Sivokon, M. A. Vorontsov, “Coherent optical processor for image-quality metric measurement,” in Propagation and Imaging through the Atmosphere, L. Bissonnette, C. Dainty, eds., Proc. SPIE3125, 339–343 (1997).

Tyson, R. K.

R. K. Tyson, Principles of Adaptive Optics (Academic, Boston, 1991).

van Luarhoven, P. J. M.

P. J. M. van Luarhoven, E. H. L. Aarts, Stimulated Annealing: Theory and Applications (Reidel, Dordrecht, The Netherlands, 1987).

Vdovin, G. V.

Voelz, D. G.

Vorontsov, M. A.

V. P. Sivokon, M. A. Vorontsov, “High-resolution adaptive phase distortion suppression based solely on intensity information,” J. Opt. Soc. Am. A 15, 234–247 (1998).
[CrossRef]

M. A. Vorontsov, G. W. Carhart, J. C. Ricklin, “Adaptive phase-distortion correction based on parallel gradient-descent optimization,” Opt. Lett. 22, 907–909 (1997); G. W. Carhart, J. C. Ricklin, V. P. Sivokon, M. A. Vorontsov, “Parallel perturbation gradient descent algorithm for adaptive wavefront correction,” in Adaptive Optics and Applications, R. Tyson, R. Fugate, eds., Proc. SPIE3126, 221–227 (1997).
[CrossRef] [PubMed]

M. A. Vorontsov, G. W. Carhart, D. V. Pruidze, J. C. Ricklin, D. G. Voelz, “Adaptive imaging system for phase-distorted extended source/multiple distance objects,” Appl. Opt. 36, 3319–3328 (1997).
[CrossRef] [PubMed]

M. A. Vorontsov, G. W. Carhart, D. V. Pruidze, J. C. Ricklin, D. G. Voelz, “Image quality criteria for an adaptive imaging system based on statistical analysis of the speckle field,” J. Opt. Soc. Am. A 13, 1456–1466 (1996).
[CrossRef]

M. A. Vorontsov, J. C. Ricklin, G. W. Carhart, “Optical simulation of phase distorted imaging systems: nonlinear and adaptive approach,” Opt. Eng. (Bellingham) 34, 3229–3238 (1995).
[CrossRef]

R. Dou, D. V. Pruidze, J. C. Ricklin, V. P. Sivokon, M. A. Vorontsov, “Coherent optical processor for image-quality metric measurement,” in Propagation and Imaging through the Atmosphere, L. Bissonnette, C. Dainty, eds., Proc. SPIE3125, 339–343 (1997).

V. I. Polejaev, M. A. Vorontsov, “Adaptive active imaging system based on radiation focusing for extended targets,” in Adaptive Optics and Applications, R. Tyson, R. Fugate, eds., Proc. SPIE3126, 216–220 (1997).

Welsh, B. M.

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

M. C. Roggemann, B. M. Welsh, Imaging Through Turbulence (CRC Press, Boca Raton, Fla., 1996).

Wolf, E.

L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995).

Younse, J. M.

J. M. Younse, “Mirrors on a Chip,” IEEE Spectr. 30, 27–31 (November1993).
[CrossRef]

Yuhas, B.

J. Alspector, R. Meir, B. Yuhas, A. Jayakumar, “A parallel gradient descent method for learning in analog VLSI neural networks,” in Advances in Neural Information Processing Systems, J. D. Cowan, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 836–844.

Zel’dovich, B. Ya.

B. Ya. Zel’dovich, N. F. Pilipetsky, V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).

Annu. Rev. Astron. Astrophys.

J. M. Beckers, “Adaptive optics for astronomy: principles, performance, and applications,” Annu. Rev. Astron. Astrophys. 31, 13–62 (1993).
[CrossRef]

Appl. Opt.

IEEE Spectr.

J. M. Younse, “Mirrors on a Chip,” IEEE Spectr. 30, 27–31 (November1993).
[CrossRef]

IEEE Trans. Neural Netw.

A. Dembo, T. Kailath, “Model-free distributed learning,” IEEE Trans. Neural Netw. 1, 58–70 (1990).
[CrossRef] [PubMed]

Int. J. Analog Integr. Circ. Signal Process.

G. Cauwenberghs, “Analog VLSI stochastic perturbative learning architectures,” Int. J. Analog Integr. Circ. Signal Process. 13, 195–209 (1997).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Eng. (Bellingham)

M. C. Roggeman, V. M. Bright, B. M. Welsh, S. R. Hick, P. C. Roberts, W. D. Cowan, J. H. Comtois, “Use of micro-electro-mechanical deformable mirrors to control aberrations in optical systems: theoretical and experimental results,” Opt. Eng. (Bellingham) 36, 1326–1338 (1997).
[CrossRef]

M. A. Vorontsov, J. C. Ricklin, G. W. Carhart, “Optical simulation of phase distorted imaging systems: nonlinear and adaptive approach,” Opt. Eng. (Bellingham) 34, 3229–3238 (1995).
[CrossRef]

Opt. Lett.

Opt. Photonics News

G. B. Love, J. S. Fender, S. R. Restaino, “Adaptive wavefront shaping with liquid crystals,” Opt. Photonics News 6, 16–21 (October1995).
[CrossRef]

P. R. Barbier, G. Moddel, “Spatial light modulators: processing light in real time,” Opt. Photonics News 8, 16–21 (March1997).
[CrossRef]

Other

U. Efron, ed., Spatial Light Modulator Technology: Materials, Devices, and Applications (Marcel Dekker, New York, 1995).

M. C. Roggemann, B. M. Welsh, Imaging Through Turbulence (CRC Press, Boca Raton, Fla., 1996).

G. Cauwenberghs, “A fast stochastic error-descent algorithm for supervised learning and optimization,” in Advances in Neural Information Processing Systems, S. J. Hanson, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 244–251.

J. Alspector, R. Meir, B. Yuhas, A. Jayakumar, “A parallel gradient descent method for learning in analog VLSI neural networks,” in Advances in Neural Information Processing Systems, J. D. Cowan, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 836–844.

D. B. Kirk, D. Kerns, K. Fleischer, A. H. Barr, “Analog VLSI implementation of multidimensional gradient descent,” in Advances in Neural Information Processing Systems, C. L. Giles, ed. (Morgan Kaufman, San Mateo, Calif., 1993), Vol. 5, pp. 789–796.

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