Abstract

Linear diffraction gratings that provide strongly asymmetric diffraction without surface modulation are created and studied. The spatial phase shift of the refractive-index grating relative to the absorption grating is the origin of nonreciprocal behavior.

© 1999 Optical Society of America

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References

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  1. P. Lalanne, S. Astilean, P. Chavel, E. Cambril, and H. Launois, J. Opt. Soc. Am. A 16, 1143 (1999).
    [CrossRef]
  2. A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
    [CrossRef]
  3. D. L. Staebler and J. J. Amodei, J. Appl. Phys. 34, 1042 (1972).
    [CrossRef]
  4. N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
    [CrossRef]
  5. K. Sutter and P. Günter, J. Opt. Soc. Am. B 7, 2274 (1990).
    [CrossRef]
  6. P. Yeh and C. Gu, eds., Landmark Papers on Photorefractive Nonlinear Optics (World Scientific, Singapore, 1995).
  7. P. Gunter and J.-P. Huignard, eds., Photorefractive Materials and Their Applications I & II (Springer-Verlag, Berlin, 1988 & 1989), Vols. 61 and 62.
    [CrossRef]
  8. V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
    [CrossRef]
  9. W. E. Moerner, S. M. Silence, F. Hache, and G. C. Bjorklund, J. Opt. Soc. Am. B 11, 320 (1994).
    [CrossRef]
  10. E. V. Rudenko and A. V. Sukhov, Sov. JETP 78, 875 (1994).
  11. B. Kippelen, K. Meerholz, and N. Peygambarian, in Nonlinear Optics of Organic Molecules and Polymers, H. S. Nalwa and S. Miyata, eds. (CRC Press, Boca Raton, Fla., 1997), pp. 465–513.
  12. M. V. Berry, The Diffraction of Light by Ultrasound (Academic, New York, 1966).
  13. L. Poladian, Phys. Rev. E 54, 2963 (1996).
    [CrossRef]
  14. Y. Boucher, Opt. Commun. 136, 410 (1997).
    [CrossRef]
  15. G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
    [CrossRef]
  16. T. V. Galstyan, “Fabrication of asymmetric and nonreciprocal elements (diodes) for optical and microwave photonic devices,” U.S. patent60,101,085 (patent pending, September18, 1998).
  17. M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
    [CrossRef]
  18. R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
    [CrossRef]

1999 (1)

1998 (1)

R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
[CrossRef]

1997 (2)

Y. Boucher, Opt. Commun. 136, 410 (1997).
[CrossRef]

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

1996 (1)

L. Poladian, Phys. Rev. E 54, 2963 (1996).
[CrossRef]

1994 (2)

1993 (1)

M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
[CrossRef]

1990 (1)

1979 (2)

V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
[CrossRef]

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

1972 (1)

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 34, 1042 (1972).
[CrossRef]

1966 (1)

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Amodei, J. J.

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 34, 1042 (1972).
[CrossRef]

Ashkin, A.

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Astilean, S.

Ballman, A. A.

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Berry, M. V.

M. V. Berry, The Diffraction of Light by Ultrasound (Academic, New York, 1966).

Birabassov, R.

R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
[CrossRef]

Bjorklund, G. C.

Boucher, Y.

Y. Boucher, Opt. Commun. 136, 410 (1997).
[CrossRef]

Boyd, G. D.

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Cambril, E.

Chavel, P.

Dechamplain, F.

R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
[CrossRef]

Dumont, M.

M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
[CrossRef]

Dziedic, J. M.

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Froc, G.

M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
[CrossRef]

Galstyan, T. V.

R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
[CrossRef]

T. V. Galstyan, “Fabrication of asymmetric and nonreciprocal elements (diodes) for optical and microwave photonic devices,” U.S. patent60,101,085 (patent pending, September18, 1998).

Günter, P.

Hache, F.

Hosotte, S.

M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
[CrossRef]

Kippelen, B.

B. Kippelen, K. Meerholz, and N. Peygambarian, in Nonlinear Optics of Organic Molecules and Polymers, H. S. Nalwa and S. Miyata, eds. (CRC Press, Boca Raton, Fla., 1997), pp. 465–513.

Kukhtarev, N. V.

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
[CrossRef]

Lalanne, P.

Launois, H.

Markov, V. M.

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

Meerholz, K.

B. Kippelen, K. Meerholz, and N. Peygambarian, in Nonlinear Optics of Organic Molecules and Polymers, H. S. Nalwa and S. Miyata, eds. (CRC Press, Boca Raton, Fla., 1997), pp. 465–513.

Moerner, W. E.

Montemezzani, G.

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

Nassau, K.

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Odulov, S. G.

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
[CrossRef]

Peygambarian, N.

B. Kippelen, K. Meerholz, and N. Peygambarian, in Nonlinear Optics of Organic Molecules and Polymers, H. S. Nalwa and S. Miyata, eds. (CRC Press, Boca Raton, Fla., 1997), pp. 465–513.

Poladian, L.

L. Poladian, Phys. Rev. E 54, 2963 (1996).
[CrossRef]

Ritcey, A.

R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
[CrossRef]

Rudenko, E. V.

E. V. Rudenko and A. V. Sukhov, Sov. JETP 78, 875 (1994).

Sekkat, Z.

M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
[CrossRef]

Silence, S. M.

Smith, R. G.

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
[CrossRef]

Staebler, D. L.

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 34, 1042 (1972).
[CrossRef]

Sukhov, A. V.

E. V. Rudenko and A. V. Sukhov, Sov. JETP 78, 875 (1994).

Sutter, K.

Vinetski, V. L.

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

Vinetskii, V. L.

V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
[CrossRef]

Zgonik, M.

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

A. Ashkin, G. D. Boyd, J. M. Dziedic, R. G. Smith, A. A. Ballman, and K. Nassau, Appl. Phys. Lett. 9, 72 (1966).
[CrossRef]

Ferroelectrics (1)

N. V. Kukhtarev, V. M. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetski, Ferroelectrics 22, 949 (1979).
[CrossRef]

J. Appl. Phys. (1)

D. L. Staebler and J. J. Amodei, J. Appl. Phys. 34, 1042 (1972).
[CrossRef]

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

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

Y. Boucher, Opt. Commun. 136, 410 (1997).
[CrossRef]

Phys. Rev. E (2)

G. Montemezzani and M. Zgonik, Phys. Rev. E 55, 1035 (1997).
[CrossRef]

L. Poladian, Phys. Rev. E 54, 2963 (1996).
[CrossRef]

Proc. SPIE (2)

M. Dumont, S. Hosotte, G. Froc, and Z. Sekkat, Proc. SPIE 2042, 2 (1993).
[CrossRef]

R. Birabassov, T. V. Galstyan, F. Dechamplain, and A. Ritcey, Proc. SPIE 3491, 704 (1998).
[CrossRef]

Sov. JETP (1)

E. V. Rudenko and A. V. Sukhov, Sov. JETP 78, 875 (1994).

Usp. Fiz. Nauk (1)

V. L. Vinetskii, N. V. Kukhtarev, S. G. Odulov, and M. S. Soskin, Usp. Fiz. Nauk 129, 113 (1979) [Sov. Phys. Usp. 22, 9 (1979)].
[CrossRef]

Other (5)

B. Kippelen, K. Meerholz, and N. Peygambarian, in Nonlinear Optics of Organic Molecules and Polymers, H. S. Nalwa and S. Miyata, eds. (CRC Press, Boca Raton, Fla., 1997), pp. 465–513.

M. V. Berry, The Diffraction of Light by Ultrasound (Academic, New York, 1966).

P. Yeh and C. Gu, eds., Landmark Papers on Photorefractive Nonlinear Optics (World Scientific, Singapore, 1995).

P. Gunter and J.-P. Huignard, eds., Photorefractive Materials and Their Applications I & II (Springer-Verlag, Berlin, 1988 & 1989), Vols. 61 and 62.
[CrossRef]

T. V. Galstyan, “Fabrication of asymmetric and nonreciprocal elements (diodes) for optical and microwave photonic devices,” U.S. patent60,101,085 (patent pending, September18, 1998).

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Figures (2)

Fig. 1
Fig. 1

Ratio of the intensity of the -1st-order diffracted beam to the intensity of the +1st-order diffracted beam as a function of the normalized (to the period of the mask) shift distance. The theoretical fit was obtained with Eq. (5).

Fig. 2
Fig. 2

Oscillatory character of the -1st-order diffraction versus the grating shift. The theoretical fit was obtained with Eq. (5).

Equations (5)

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

˜=+δ cosqx+iχ+δχ cosqx+Δ,
E=m=-Amzexpikz+imqx
2ikAmz+ik02χ-mq2Am+0.5k02δ+iδχeiΔAm-1+δ+iδχe-iΔAm+1=0.
A0z=0=I0, Amz=0=0,  m1.
I±1=I0 exp-2χξsinξr2/2/r22×δ2+δχ22δδχ sin Δ,

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