Abstract

We propose and demonstrate one-way image transmission through an aberrating medium. In contrast to previous techniques, which usually use exact phase compensation for correcting phase distortion, our technique uses the phase- or amplitude-coded form of the exact phase. This technique allows us to utilize a wide variety of spatial light modulators for image correction in one-way image transmission through aberrating media.

© 1994 Optical Society of America

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References

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  1. H. S. Lee, H. Fenichel, Appl. Phys. Lett. 55, 543(1989).
    [CrossRef]
  2. Z. Li, Y. Zhang, Opt. Commun. 81, 11 (1991).
    [CrossRef]
  3. O. Ikeda, T. Suzuki, T. Sato, Appl. Opt. 22, 2192 (1983).
    [CrossRef] [PubMed]
  4. H. W. Bruesselbach, D. C. Jones, D. A. Rockwell, R. C. Lind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.
  5. D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.
  6. P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.
  7. P. V. Mitchell, D. M. Pepper, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 216.
  8. W. B. Davenport, W. L. Root, An Introduction to the Theory of Random Signal and Noise (McGraw-Hill, New York, 1958).
  9. B. Javidi, Appl. Opt. 29, 1248 (1989).
  10. J. L. Horner, B. Javidi, J. Wang, Opt. Commun. 91, 189 (1991).
    [CrossRef]
  11. J. Khoury, C. L. Woods, M. Cronin-Golomb, Opt. Lett. 16, 747 (1991).
    [CrossRef] [PubMed]
  12. W. K. Pratt, Digital Image Proceesing, 2nd ed. (Wiley-Interscience, New York, 1987), Chap. 10, p. 294.
  13. R. D. Juday, Appl. Opt. 32, 5100 (1993).
    [CrossRef] [PubMed]

1993

1991

J. L. Horner, B. Javidi, J. Wang, Opt. Commun. 91, 189 (1991).
[CrossRef]

J. Khoury, C. L. Woods, M. Cronin-Golomb, Opt. Lett. 16, 747 (1991).
[CrossRef] [PubMed]

Z. Li, Y. Zhang, Opt. Commun. 81, 11 (1991).
[CrossRef]

1989

H. S. Lee, H. Fenichel, Appl. Phys. Lett. 55, 543(1989).
[CrossRef]

B. Javidi, Appl. Opt. 29, 1248 (1989).

1983

Brown, W. P.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

Bruesselbach, H. W.

H. W. Bruesselbach, D. C. Jones, D. A. Rockwell, R. C. Lind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

Cronin-Golomb, M.

Davenport, W. B.

W. B. Davenport, W. L. Root, An Introduction to the Theory of Random Signal and Noise (McGraw-Hill, New York, 1958).

Efron, U.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

Fenichel, H.

H. S. Lee, H. Fenichel, Appl. Phys. Lett. 55, 543(1989).
[CrossRef]

Gaeta, C. J.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

Horner, J. L.

J. L. Horner, B. Javidi, J. Wang, Opt. Commun. 91, 189 (1991).
[CrossRef]

Horskey, T. N.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

Ikeda, O.

Javidi, B.

J. L. Horner, B. Javidi, J. Wang, Opt. Commun. 91, 189 (1991).
[CrossRef]

B. Javidi, Appl. Opt. 29, 1248 (1989).

Jones, D. C.

H. W. Bruesselbach, D. C. Jones, D. A. Rockwell, R. C. Lind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

Juday, R. D.

Khoury, J.

Lee, H. S.

H. S. Lee, H. Fenichel, Appl. Phys. Lett. 55, 543(1989).
[CrossRef]

Li, Z.

Z. Li, Y. Zhang, Opt. Commun. 81, 11 (1991).
[CrossRef]

Lind, R. C.

H. W. Bruesselbach, D. C. Jones, D. A. Rockwell, R. C. Lind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

Mitchell, P. V.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

P. V. Mitchell, D. M. Pepper, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 216.

O’Meara, T. R.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

Pepper, D. M.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

P. V. Mitchell, D. M. Pepper, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 216.

Pratt, W. K.

W. K. Pratt, Digital Image Proceesing, 2nd ed. (Wiley-Interscience, New York, 1987), Chap. 10, p. 294.

Rockwell, D. A.

H. W. Bruesselbach, D. C. Jones, D. A. Rockwell, R. C. Lind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

Root, W. L.

W. B. Davenport, W. L. Root, An Introduction to the Theory of Random Signal and Noise (McGraw-Hill, New York, 1958).

Sato, T.

Schiller, C. M.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

Suzuki, T.

Wang, J.

J. L. Horner, B. Javidi, J. Wang, Opt. Commun. 91, 189 (1991).
[CrossRef]

Warde, C.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

Woods, C. L.

Zhang, Y.

Z. Li, Y. Zhang, Opt. Commun. 81, 11 (1991).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

H. S. Lee, H. Fenichel, Appl. Phys. Lett. 55, 543(1989).
[CrossRef]

Opt. Commun.

Z. Li, Y. Zhang, Opt. Commun. 81, 11 (1991).
[CrossRef]

J. L. Horner, B. Javidi, J. Wang, Opt. Commun. 91, 189 (1991).
[CrossRef]

Opt. Lett.

Other

W. K. Pratt, Digital Image Proceesing, 2nd ed. (Wiley-Interscience, New York, 1987), Chap. 10, p. 294.

H. W. Bruesselbach, D. C. Jones, D. A. Rockwell, R. C. Lind, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

D. M. Pepper, P. V. Mitchell, R. C. Lind, C. J. Gaeta, W. P. Brown, T. R. O’Meara, U. Efron, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 462.

P. V. Mitchell, C. J. Gaeta, T. R. O’Meara, W. P. Brown, D. M. Pepper, C. M. Schiller, T. N. Horskey, C. Warde, in Conference on Lasers and Electro-Optics, Vol. 11 of 1993 OSA Technical Digest Series (Optical Society of America, Washington D.C., 1993), p. 464.

P. V. Mitchell, D. M. Pepper, in Conference on Lasers and Electro-Optics, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), p. 216.

W. B. Davenport, W. L. Root, An Introduction to the Theory of Random Signal and Noise (McGraw-Hill, New York, 1958).

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Figures (2)

Fig. 1
Fig. 1

Schematic of the proposed compensation technique for one-way image transmission through phase aberrating media. CCD, charge-coupled-device camera; L3, lens.

Fig. 2
Fig. 2

Simulation results of one-way image transmission through a thin aberrating medium. A is the input, B is the distorted output, and C–G show the correction when several coding forms derived from the reference interference pattern are used. C used linear amplitude coding, D used linear phase coding, E used amplitude-encoded binary phase coding, F used binary phase coding, and G used ternary amplitude and phase coding.

Equations (10)

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I out = A 1 2 + A 2 2 + 2 A 1 A 2 cos ϕ = I 0 ( 1 + γ cos ϕ ) ,
I 0 = A 1 2 + A 2 2 ,             γ = 2 A 1 A 2 I 0 .
G ( ω ) = - g ( I ) exp ( - i ω I ) d I
g ( I ) = - H n ( γ I 0 2 ) cos ( n ϕ ) ,
H n ( γ I 0 2 ) = n 2 π - G ( ω ) J n ( γ ω I 0 ) exp ( i ω I 0 ) d ω .
F B ϕ ( 1 + cos ϕ ) = BPOF ( ϕ ) = { 1 1 + cos ϕ > 1 - 1 1 + cos ϕ < 1 ;
F T ϕ A ( 1 + cos ϕ ) = TPAF ( ϕ ) = { 1 1 + cos ϕ > 1.5 0 0.5 1 + cos ϕ 1.5 - 1 1 + cos ϕ < 0.5 ;
F A B ϕ ( 1 + cos ϕ ) = AEBPOF ( ϕ ) = { 1 1 + cos ϕ 1 0 1 + cos ϕ < 1 ;
F A I = ( 1 + cos ϕ ) / 2 ;
F ϕ I = exp { 2 j [ 1 + cos ( ϕ ) ] } .

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