Abstract

Different frequency beams interact through the static grating recorded by their running interference pattern in an external ac field. The influence of the self-diffraction through the regular degenerate and nondegenerate interaction is studied theoretically. The depletion of all the waves is taken into account.

© 1992 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Günter, J.-P. Huignard, eds., Photorefractive Materials and Their Applications (Springer-Verlag, Berlin, 1989), Vols. I and II.
  2. B. Fisher, M. Cronin-Golomb, J. O. White, A. Yariv, Opt. Lett. 6, 519 (1981).
    [Crossref]
  3. S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 64 (1985).
    [Crossref]
  4. M. Cronin-Golomb, J. O. White, B. Fisher, A. Yariv, Opt. Lett. 7, 313 (1982).
    [Crossref] [PubMed]
  5. M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
    [Crossref]
  6. B. Fisher, S. Weiss, Appl. Phys. Lett. 53, 257 (1988).
    [Crossref]
  7. P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, J. Opt. Soc. Am. B 8, 1042 (1991); Opt. Lett. 16, 414 (1991).
    [Crossref] [PubMed]
  8. B. Ya. Zel’dovich, P. N. Ilinykh, O. P. Nestiorkin, J. Moscow Phys. Soc. 1, 153 (1991).
  9. S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
    [Crossref]
  10. P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, Opt. Commun. 80, 249 (1991).
    [Crossref]

1991 (3)

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, J. Opt. Soc. Am. B 8, 1042 (1991); Opt. Lett. 16, 414 (1991).
[Crossref] [PubMed]

B. Ya. Zel’dovich, P. N. Ilinykh, O. P. Nestiorkin, J. Moscow Phys. Soc. 1, 153 (1991).

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, Opt. Commun. 80, 249 (1991).
[Crossref]

1988 (1)

B. Fisher, S. Weiss, Appl. Phys. Lett. 53, 257 (1988).
[Crossref]

1985 (2)

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 64 (1985).
[Crossref]

1984 (1)

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[Crossref]

1982 (1)

1981 (1)

Cronin-Golomb, M.

Fisher, B.

B. Fisher, S. Weiss, Appl. Phys. Lett. 53, 257 (1988).
[Crossref]

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[Crossref]

M. Cronin-Golomb, J. O. White, B. Fisher, A. Yariv, Opt. Lett. 7, 313 (1982).
[Crossref] [PubMed]

B. Fisher, M. Cronin-Golomb, J. O. White, A. Yariv, Opt. Lett. 6, 519 (1981).
[Crossref]

Ilinykh, P. N.

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, J. Opt. Soc. Am. B 8, 1042 (1991); Opt. Lett. 16, 414 (1991).
[Crossref] [PubMed]

B. Ya. Zel’dovich, P. N. Ilinykh, O. P. Nestiorkin, J. Moscow Phys. Soc. 1, 153 (1991).

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, Opt. Commun. 80, 249 (1991).
[Crossref]

Nestiorkin, O. P.

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, Opt. Commun. 80, 249 (1991).
[Crossref]

B. Ya. Zel’dovich, P. N. Ilinykh, O. P. Nestiorkin, J. Moscow Phys. Soc. 1, 153 (1991).

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, J. Opt. Soc. Am. B 8, 1042 (1991); Opt. Lett. 16, 414 (1991).
[Crossref] [PubMed]

Petrov, M. P.

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 64 (1985).
[Crossref]

Stepanov, S. I.

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 64 (1985).
[Crossref]

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

Weiss, S.

B. Fisher, S. Weiss, Appl. Phys. Lett. 53, 257 (1988).
[Crossref]

White, J. O.

Yariv, A.

Zel’dovich, B. Ya.

B. Ya. Zel’dovich, P. N. Ilinykh, O. P. Nestiorkin, J. Moscow Phys. Soc. 1, 153 (1991).

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, Opt. Commun. 80, 249 (1991).
[Crossref]

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, J. Opt. Soc. Am. B 8, 1042 (1991); Opt. Lett. 16, 414 (1991).
[Crossref] [PubMed]

Appl. Phys. Lett. (1)

B. Fisher, S. Weiss, Appl. Phys. Lett. 53, 257 (1988).
[Crossref]

IEEE J. Quantum Electron. (1)

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[Crossref]

J. Moscow Phys. Soc. (1)

B. Ya. Zel’dovich, P. N. Ilinykh, O. P. Nestiorkin, J. Moscow Phys. Soc. 1, 153 (1991).

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

Opt. Commun. (3)

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 292 (1985).
[Crossref]

P. N. Ilinykh, O. P. Nestiorkin, B. Ya. Zel’dovich, Opt. Commun. 80, 249 (1991).
[Crossref]

S. I. Stepanov, M. P. Petrov, Opt. Commun. 53, 64 (1985).
[Crossref]

Opt. Lett. (2)

Other (1)

P. Günter, J.-P. Huignard, eds., Photorefractive Materials and Their Applications (Springer-Verlag, Berlin, 1989), Vols. I and II.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Scheme of the wave interaction in an externally applied ac field.

Fig. 2
Fig. 2

Diffraction efficiency η versus the nondegenerate coupling strength gl. Curve 1, β = 1, γl = 0, ±1; curve 2, β2 = 0.01, γl = 1; curve 3, β2 = 0.01, γl = 0; curve 4, β2 = 0.01, γl = −1.

Equations (23)

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

E 1 = S ( r ) exp [ i ( k 1 r ω t ) ] , E 2 = P s ( r ) exp { i [ k 2 r ( ω + Ω ) t ] } .
E 3 = S s ( r ) exp { i [ k 1 r ( ω + Ω ) t ] } , E 4 = P ( r ) exp [ i ( k 2 r ω t ) ] .
d S d z = i Q P , d S s d z = i Q P s ,
d P d z = i Q * S , d P s d z = i Q * S s .
δ ( r ) = c n ω { Q exp [ i ( k 1 k 2 ) r ] + Q * exp [ i ( k 1 k 2 ) r ] }
Q = g I 0 ( S P s * + S s P * ) i γ I 0 ( S P * + S s P s * ) .
| S s | 2 + | P s | 2 = d s ,
| S | 2 + | P | 2 = d ,
S S s * + P P s * = C ,
S P s P S s = D ,
d d z ( S s S ) = i g d s I 0 [ 1 d s d ( S s S ) 2 ] + γ ( d s d ) I 0 ( S s S ) ,
d d z ( P * P s * ) = i g d I 0 [ 1 d s d ( P * P s * ) 2 ] + γ ( d d s ) I 0 ( P * P s * ) .
S s S = i β tan [ ( 1 R 2 ) 1 / 2 m g z / 2 ] ( 1 R 2 ) 1 / 2 R tan [ ( 1 R 2 ) 1 / 2 m g z / 2 ] ,
P P s = i β tan [ ( 1 R 2 ) 1 / 2 m g z / 2 ] ( 1 R 2 ) 1 / 2 R tan [ ( 1 R 2 ) 1 / 2 m g z / 2 ] ,
R = γ ( 1 β 2 ) / 2 β g .
η = β 2 | S s ( l ) / S ( l ) | 2 1 + β 2 | S s ( l ) / S ( l ) | 2 .
η = 1 2 1 cos [ ( 1 R 2 ) 1 / 2 m g l ] 1 cos ψ cos [ ( 1 R 2 ) 1 / 2 m g l ψ ] ,
ψ = tan 1 [ ( 1 R 2 ) 1 / 2 / R ] .
η = sin 2 ( m g l / 2 ) ,
S s ( z ) = i P s ( 0 ) sin ( m g z / 2 ) ,
S = S ( 0 ) cos ( m g z / 2 ) ,
P s = P s ( 0 ) cos ( m g z / 2 ) ,
P = i S ( 0 ) sin ( m g z / 2 ) .

Metrics