Abstract

Using multiple signal beams and controlling their relative phases, we demonstrate angular multiplexing of phase-sensitive holographic gratings in a photorefractive crystal. Interference between diffracted signal beams determines total diffracted intensities as a function of the relative phases between input signals compared with those between gratings. Complete constructive and destructive interference produce maximum and near-zero diffraction, respectively, from orthogonal gratings.

© 1996 Optical Society of America

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References

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  1. I. McMichael, P. YehOpt. Lett. 12, 48 (1987).
    [CrossRef] [PubMed]
  2. B. Lee, E. Yin, A. Spiridon, T. K. GustafsonProc. SPIE. 2404, 328 (1995).
    [CrossRef]
  3. B. Lee“Optical programmable radio frequency matched filtering using photorefractive effect,” Ph.D. dissertation (Department of Electrical Engineering, University of California, Berkeley, Calif., 1993).
  4. D. Z. Anderson, D. M. LiningerAppl. Opt. 26, 5031 (1987).
    [CrossRef] [PubMed]
  5. M. Saffman, D. Z. AndersonOpt. Lett. 16, 300 (1991).
    [CrossRef] [PubMed]
  6. E. Yin, B. Lee, T. K. Gustafson, A. Spiridon, J. Watjen, D. Cooper, R. MartinelliOpt. Lett. 18, 229 (1993).
    [CrossRef] [PubMed]
  7. J. FeinbergJ. Opt. Soc. Am. 72, 46 (1982).
    [CrossRef]
  8. V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
    [CrossRef]
  9. F. H. Mok, M. C. Tackett, H. M. StollOpt. Lett. 16, 605 (1991).
    [CrossRef] [PubMed]
  10. F. Vachss, P. YehJ. Opt. Soc. Am. B 6, 1834 (1989).
    [CrossRef]
  11. G. Notni, R. KowarschikIEEE J. Quantum Electron. 27, 2193 (1991).
    [CrossRef]
  12. M. D. Ewbank, R. R. Neurgaonkar, W. K. Cory, J. FeinbergJ. Appl. Phys. 62, 374 (1987).
    [CrossRef]

1995 (1)

B. Lee, E. Yin, A. Spiridon, T. K. GustafsonProc. SPIE. 2404, 328 (1995).
[CrossRef]

1993 (1)

1991 (3)

1989 (1)

1987 (3)

1982 (1)

1980 (1)

V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Anderson, D. Z.

Cooper, D.

Cory, W. K.

M. D. Ewbank, R. R. Neurgaonkar, W. K. Cory, J. FeinbergJ. Appl. Phys. 62, 374 (1987).
[CrossRef]

Dorosh, I. R.

V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Ewbank, M. D.

M. D. Ewbank, R. R. Neurgaonkar, W. K. Cory, J. FeinbergJ. Appl. Phys. 62, 374 (1987).
[CrossRef]

Feinberg, J.

M. D. Ewbank, R. R. Neurgaonkar, W. K. Cory, J. FeinbergJ. Appl. Phys. 62, 374 (1987).
[CrossRef]

J. FeinbergJ. Opt. Soc. Am. 72, 46 (1982).
[CrossRef]

Gustafson, T. K.

Kowarschik, R.

G. Notni, R. KowarschikIEEE J. Quantum Electron. 27, 2193 (1991).
[CrossRef]

Kuz’minov, Y. S.

V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Lee, B.

B. Lee, E. Yin, A. Spiridon, T. K. GustafsonProc. SPIE. 2404, 328 (1995).
[CrossRef]

E. Yin, B. Lee, T. K. Gustafson, A. Spiridon, J. Watjen, D. Cooper, R. MartinelliOpt. Lett. 18, 229 (1993).
[CrossRef] [PubMed]

B. Lee“Optical programmable radio frequency matched filtering using photorefractive effect,” Ph.D. dissertation (Department of Electrical Engineering, University of California, Berkeley, Calif., 1993).

Lininger, D. M.

Martinelli, R.

McMichael, I.

Mok, F. H.

Neurgaonkar, R. R.

M. D. Ewbank, R. R. Neurgaonkar, W. K. Cory, J. FeinbergJ. Appl. Phys. 62, 374 (1987).
[CrossRef]

Notni, G.

G. Notni, R. KowarschikIEEE J. Quantum Electron. 27, 2193 (1991).
[CrossRef]

Saffman, M.

Spiridon, A.

Stoll, H. M.

Tackett, M. C.

Tkachenko, N. V.

V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Vachss, F.

Voronov, V. V.

V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Watjen, J.

Yeh, P.

Yin, E.

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

G. Notni, R. KowarschikIEEE J. Quantum Electron. 27, 2193 (1991).
[CrossRef]

J. Appl. Phys. (1)

M. D. Ewbank, R. R. Neurgaonkar, W. K. Cory, J. FeinbergJ. Appl. Phys. 62, 374 (1987).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

Opt. Lett. (4)

Proc. SPIE. (1)

B. Lee, E. Yin, A. Spiridon, T. K. GustafsonProc. SPIE. 2404, 328 (1995).
[CrossRef]

Sov. J. Quantum Electron. (1)

V. V. Voronov, I. R. Dorosh, Y. S. Kuz’minov, N. V. TkachenkoSov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Other (1)

B. Lee“Optical programmable radio frequency matched filtering using photorefractive effect,” Ph.D. dissertation (Department of Electrical Engineering, University of California, Berkeley, Calif., 1993).

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Figures (3)

Fig. 1
Fig. 1

Experimental setup: Signal beams are generated by 80- and 84-MHz rf signals applied to AOM 1. A delay box in the 84-MHz rf signal controls relative phases. Reference beams are the undeflected and 84-MHz-deflected beams from AOM 2 separately steered into the SBN crystal with a mirror.

Fig. 2
Fig. 2

(a) Diffraction of individual 80- and 84-MHz signal beams from the angularly multiplexed 80 ± 84 gratings. (b) Total diffracted intensities showing constructive and destructive interference between diffracted signals, depending on the relative phases of the signal beams and of the gratings.

Fig. 3
Fig. 3

Diffracted beam profiles showing mismatches for signal beams having different input signal/reference intensity ratios. Intensities are not drawn to scale. Fringes in the profiles result from beam fanning.

Equations (1)

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I total = i I i + 2 j , k j > k I j I k × cos [ ( ϕ j r ϕ k r ) ( ϕ j w ϕ k w ) ] .

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