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

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References

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  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)

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]

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]

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).

Nestiorkin, O. P.

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]

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.

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]

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).

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, 64 (1985).
[CrossRef]

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]

Opt. Lett. (2)

Other (1)

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

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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)

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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 ) .

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