Abstract

Phase conjugation of a plane-polarized bulk wave by surface plasmons on a metal surface coated with an isotropic and transparent nonlinear dielectric is considered. The expressions for the <i>s</i>- and <i>p</i>-polarized phase-conjugate waves are given for arbitrary angle of incidence and arbitrary polarization direction of the probe wave and an arbitrary direction of propagation of two counterpropagating pump waves of surface plasmons. The reaction of the phase-conjugate wave on the probe wave is not taken into account. A reflectivity of the order of 10<sup>-4</sup> is expected for a vacuum–CS<sub>2</sub>–Ag system at ruby-laser frequency.

© 1983 Optical Society of America

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  1. H. J. Simon, D. E. Mitchell, and J. G. Watson, "Optical secondharmonic generation with surface plasmons in silver films," Phys. Rev. Lett. 33, 1531–1534 (1974).
  2. D. L. Mills, "Theory of second harmonic generation by surface polaritons on metals," Solid State Commun. 24, 669–671 (1977).
  3. H. J. Simon, R. E. Benner, and J. G. Rako, "Optical second harmonic generation with surface plasmons in piezoelectric crystals," Opt. Commun. 23, 245–248 (1977).
  4. L. Bonsall and A. A. Maradudin, "Nonlinear interaction of surface polaritons," J. Appl. Phys. 49, 253–256 (1978).
  5. M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).
  6. V. M. Agranovich, V. I. Rupasov, and V. Ya. Chernyak, "Selfinduced transparency of surface polaritons," JETP Lett. 33, 185–188 (1981).
  7. G. M. Wysin, H. J. Simon, and R. T. Deck, "Optical bistability with surface plasmons," Opt. Lett. 6, 30–32 (1981).
  8. K. Ujihara, "Four-wave mixing and two-dimensional phaseconjugation of surface plasmons," Opt. Commun. 42, 1–4 (1982).
  9. K. Ujihara, "Phase conjugation of surface plasmon waves by the third order nonlinearity of a free electron gas," Opt. Commun. 43, 225–228 (1982).
  10. J. J. Cowan, "The surface plasmon resonance effect in holography," Opt. Commun. 5, 69–72 (1972).
  11. J. J. Cowan, "Holography with standing surface plasmon waves," Opt. Commun. 12, 373–378 (1974).
  12. J. J. Cowan, "Surface plasmon holography," AIP Conf. Proc. 65, 515–518 (1980).
  13. H. Rather, "Surface plasma oscillations and their applications," in Physics of Thin Films, G. Hass, M. H. Francombe, and R. W. Hoffman, eds. (Academic, New York, 1977), Vol. 9, p. 145.
  14. D. L. Mills and A. A. Maradudin, "Surface roughness and the optical properties of a semi-infinite material: the effect of a dielectric overlayer," Phys. Rev. B 12, 2943–2958 (1975).
  15. J. J. Wynne, "Optical third-order mixing in GaAs, Ge, Si, and InAs," Phys. Rev. 178, 1295–1303 (1969).
  16. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).
  17. R. W. Hellwarth, "Generation of time-reversed wave fronts by nonlinear refraction," J. Opt. Soc. Am. 67, 1–3 (1977).
  18. J. Schoenwald, E. Burstein, and J. M. Elson, "Propagation of surface polaritons over macroscopic distances at optical frequencies," Solid State Commun. 15, 185–189 (1973).

1982 (2)

K. Ujihara, "Four-wave mixing and two-dimensional phaseconjugation of surface plasmons," Opt. Commun. 42, 1–4 (1982).

K. Ujihara, "Phase conjugation of surface plasmon waves by the third order nonlinearity of a free electron gas," Opt. Commun. 43, 225–228 (1982).

1981 (2)

V. M. Agranovich, V. I. Rupasov, and V. Ya. Chernyak, "Selfinduced transparency of surface polaritons," JETP Lett. 33, 185–188 (1981).

G. M. Wysin, H. J. Simon, and R. T. Deck, "Optical bistability with surface plasmons," Opt. Lett. 6, 30–32 (1981).

1980 (1)

J. J. Cowan, "Surface plasmon holography," AIP Conf. Proc. 65, 515–518 (1980).

1978 (2)

L. Bonsall and A. A. Maradudin, "Nonlinear interaction of surface polaritons," J. Appl. Phys. 49, 253–256 (1978).

M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).

1977 (3)

R. W. Hellwarth, "Generation of time-reversed wave fronts by nonlinear refraction," J. Opt. Soc. Am. 67, 1–3 (1977).

D. L. Mills, "Theory of second harmonic generation by surface polaritons on metals," Solid State Commun. 24, 669–671 (1977).

H. J. Simon, R. E. Benner, and J. G. Rako, "Optical second harmonic generation with surface plasmons in piezoelectric crystals," Opt. Commun. 23, 245–248 (1977).

1975 (1)

D. L. Mills and A. A. Maradudin, "Surface roughness and the optical properties of a semi-infinite material: the effect of a dielectric overlayer," Phys. Rev. B 12, 2943–2958 (1975).

1974 (2)

J. J. Cowan, "Holography with standing surface plasmon waves," Opt. Commun. 12, 373–378 (1974).

H. J. Simon, D. E. Mitchell, and J. G. Watson, "Optical secondharmonic generation with surface plasmons in silver films," Phys. Rev. Lett. 33, 1531–1534 (1974).

1973 (1)

J. Schoenwald, E. Burstein, and J. M. Elson, "Propagation of surface polaritons over macroscopic distances at optical frequencies," Solid State Commun. 15, 185–189 (1973).

1972 (1)

J. J. Cowan, "The surface plasmon resonance effect in holography," Opt. Commun. 5, 69–72 (1972).

1969 (1)

J. J. Wynne, "Optical third-order mixing in GaAs, Ge, Si, and InAs," Phys. Rev. 178, 1295–1303 (1969).

Agranovich, V. M.

V. M. Agranovich, V. I. Rupasov, and V. Ya. Chernyak, "Selfinduced transparency of surface polaritons," JETP Lett. 33, 185–188 (1981).

Benner, R. E.

H. J. Simon, R. E. Benner, and J. G. Rako, "Optical second harmonic generation with surface plasmons in piezoelectric crystals," Opt. Commun. 23, 245–248 (1977).

Bonsall, L.

L. Bonsall and A. A. Maradudin, "Nonlinear interaction of surface polaritons," J. Appl. Phys. 49, 253–256 (1978).

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).

Burstein, E.

J. Schoenwald, E. Burstein, and J. M. Elson, "Propagation of surface polaritons over macroscopic distances at optical frequencies," Solid State Commun. 15, 185–189 (1973).

Chernyak, V. Ya.

V. M. Agranovich, V. I. Rupasov, and V. Ya. Chernyak, "Selfinduced transparency of surface polaritons," JETP Lett. 33, 185–188 (1981).

Cowan, J. J.

J. J. Cowan, "Surface plasmon holography," AIP Conf. Proc. 65, 515–518 (1980).

J. J. Cowan, "Holography with standing surface plasmon waves," Opt. Commun. 12, 373–378 (1974).

J. J. Cowan, "The surface plasmon resonance effect in holography," Opt. Commun. 5, 69–72 (1972).

Deck, R. T.

Elson, J. M.

J. Schoenwald, E. Burstein, and J. M. Elson, "Propagation of surface polaritons over macroscopic distances at optical frequencies," Solid State Commun. 15, 185–189 (1973).

Fukui, M.

M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).

Hellwarth, R. W.

Maradudin, A. A.

L. Bonsall and A. A. Maradudin, "Nonlinear interaction of surface polaritons," J. Appl. Phys. 49, 253–256 (1978).

D. L. Mills and A. A. Maradudin, "Surface roughness and the optical properties of a semi-infinite material: the effect of a dielectric overlayer," Phys. Rev. B 12, 2943–2958 (1975).

Mills, D. L.

D. L. Mills, "Theory of second harmonic generation by surface polaritons on metals," Solid State Commun. 24, 669–671 (1977).

D. L. Mills and A. A. Maradudin, "Surface roughness and the optical properties of a semi-infinite material: the effect of a dielectric overlayer," Phys. Rev. B 12, 2943–2958 (1975).

Mitchell, D. E.

H. J. Simon, D. E. Mitchell, and J. G. Watson, "Optical secondharmonic generation with surface plasmons in silver films," Phys. Rev. Lett. 33, 1531–1534 (1974).

Rako, J. G.

H. J. Simon, R. E. Benner, and J. G. Rako, "Optical second harmonic generation with surface plasmons in piezoelectric crystals," Opt. Commun. 23, 245–248 (1977).

Rather, H.

H. Rather, "Surface plasma oscillations and their applications," in Physics of Thin Films, G. Hass, M. H. Francombe, and R. W. Hoffman, eds. (Academic, New York, 1977), Vol. 9, p. 145.

Rupasov, V. I.

V. M. Agranovich, V. I. Rupasov, and V. Ya. Chernyak, "Selfinduced transparency of surface polaritons," JETP Lett. 33, 185–188 (1981).

Schoenwald, J.

J. Schoenwald, E. Burstein, and J. M. Elson, "Propagation of surface polaritons over macroscopic distances at optical frequencies," Solid State Commun. 15, 185–189 (1973).

Simon, H. J.

G. M. Wysin, H. J. Simon, and R. T. Deck, "Optical bistability with surface plasmons," Opt. Lett. 6, 30–32 (1981).

H. J. Simon, R. E. Benner, and J. G. Rako, "Optical second harmonic generation with surface plasmons in piezoelectric crystals," Opt. Commun. 23, 245–248 (1977).

H. J. Simon, D. E. Mitchell, and J. G. Watson, "Optical secondharmonic generation with surface plasmons in silver films," Phys. Rev. Lett. 33, 1531–1534 (1974).

Sipe, J. E.

M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).

So, V. C. Y.

M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).

Stegeman, G. I.

M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).

Ujihara, K.

K. Ujihara, "Phase conjugation of surface plasmon waves by the third order nonlinearity of a free electron gas," Opt. Commun. 43, 225–228 (1982).

K. Ujihara, "Four-wave mixing and two-dimensional phaseconjugation of surface plasmons," Opt. Commun. 42, 1–4 (1982).

Watson, J. G.

H. J. Simon, D. E. Mitchell, and J. G. Watson, "Optical secondharmonic generation with surface plasmons in silver films," Phys. Rev. Lett. 33, 1531–1534 (1974).

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).

Wynne, J. J.

J. J. Wynne, "Optical third-order mixing in GaAs, Ge, Si, and InAs," Phys. Rev. 178, 1295–1303 (1969).

Wysin, G. M.

AIP Conf. Proc. (1)

J. J. Cowan, "Surface plasmon holography," AIP Conf. Proc. 65, 515–518 (1980).

J. Appl. Phys. (1)

L. Bonsall and A. A. Maradudin, "Nonlinear interaction of surface polaritons," J. Appl. Phys. 49, 253–256 (1978).

J. Opt. Soc. Am. (1)

JETP Lett. (1)

V. M. Agranovich, V. I. Rupasov, and V. Ya. Chernyak, "Selfinduced transparency of surface polaritons," JETP Lett. 33, 185–188 (1981).

Opt. Commun. (5)

H. J. Simon, R. E. Benner, and J. G. Rako, "Optical second harmonic generation with surface plasmons in piezoelectric crystals," Opt. Commun. 23, 245–248 (1977).

K. Ujihara, "Four-wave mixing and two-dimensional phaseconjugation of surface plasmons," Opt. Commun. 42, 1–4 (1982).

K. Ujihara, "Phase conjugation of surface plasmon waves by the third order nonlinearity of a free electron gas," Opt. Commun. 43, 225–228 (1982).

J. J. Cowan, "The surface plasmon resonance effect in holography," Opt. Commun. 5, 69–72 (1972).

J. J. Cowan, "Holography with standing surface plasmon waves," Opt. Commun. 12, 373–378 (1974).

Opt. Lett. (1)

Phys. Rev. (2)

D. L. Mills and A. A. Maradudin, "Surface roughness and the optical properties of a semi-infinite material: the effect of a dielectric overlayer," Phys. Rev. B 12, 2943–2958 (1975).

J. J. Wynne, "Optical third-order mixing in GaAs, Ge, Si, and InAs," Phys. Rev. 178, 1295–1303 (1969).

Phys. Rev. Lett. (1)

H. J. Simon, D. E. Mitchell, and J. G. Watson, "Optical secondharmonic generation with surface plasmons in silver films," Phys. Rev. Lett. 33, 1531–1534 (1974).

Solid State Commun. (3)

D. L. Mills, "Theory of second harmonic generation by surface polaritons on metals," Solid State Commun. 24, 669–671 (1977).

M. Fukui, J. E. Sipe, V. C. Y. So, and G. I. Stegeman, "Nonlinear mixing of oppositely travelling surface plasmons," Solid State Commun. 27, 1265–1267 (1978).

J. Schoenwald, E. Burstein, and J. M. Elson, "Propagation of surface polaritons over macroscopic distances at optical frequencies," Solid State Commun. 15, 185–189 (1973).

Other (2)

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).

H. Rather, "Surface plasma oscillations and their applications," in Physics of Thin Films, G. Hass, M. H. Francombe, and R. W. Hoffman, eds. (Academic, New York, 1977), Vol. 9, p. 145.

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