The fact that the amplitude reflectivity μ is assumed to be constant represents, of course, an idealization. In general, μ will depend on both the direction of propagation and the state of polarization of the wave incident upon the PCM. However, experimental techniques for producing PCM’s with the property expressed by Eq. (1), at least for sufficiently small angles of incidence, have been discussed, for example, by B. Ya. Zel’dovich and V. V. Shkunov, “Spatial-polarization wavefront reversal in four-photon interaction,” Sov. J. Quantum Electron. 9, 379–381 (1979); B. Ya. Zel’dovich and T. V. Yakovleva, “Spatial-polarization wavefront reversal in stimulated scattering of the Rayleigh line wing,” Sov. J. Quantum Electron. 10, 501–505 (1980); and J. F. Lam, D. G. Steel, R. A. McFarlane, and C. R. Lind, “Atomic coherence effects in resonant degenerate four-wave mixing,” Appl. Phys. Lett. 38, 977–979 (1981).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Sec. 1.6, Eqs. (49) and (50).

P. D. Drummond and A. T. Friberg, “Specular-reflection cancelation in an interferometer with a phase-conjugate mirror” J. Appl. Phys. (to be published).

R. Jacobsson, “Light reflection from films of continuously varying refractive index,” in Progress in Optics V, E. Wolf, ed. (North-Holland, Amsterdam, 1966), Chap. 4, Theorem 1, pp. 247–286.

[CrossRef]

The fact that the amplitude reflectivity μ is assumed to be constant represents, of course, an idealization. In general, μ will depend on both the direction of propagation and the state of polarization of the wave incident upon the PCM. However, experimental techniques for producing PCM’s with the property expressed by Eq. (1), at least for sufficiently small angles of incidence, have been discussed, for example, by B. Ya. Zel’dovich and V. V. Shkunov, “Spatial-polarization wavefront reversal in four-photon interaction,” Sov. J. Quantum Electron. 9, 379–381 (1979); B. Ya. Zel’dovich and T. V. Yakovleva, “Spatial-polarization wavefront reversal in stimulated scattering of the Rayleigh line wing,” Sov. J. Quantum Electron. 10, 501–505 (1980); and J. F. Lam, D. G. Steel, R. A. McFarlane, and C. R. Lind, “Atomic coherence effects in resonant degenerate four-wave mixing,” Appl. Phys. Lett. 38, 977–979 (1981).

[CrossRef]

See, for example, A. Vasicek, Optics of Thin Films (North-Holland, Amsterdam, 1960), Chap. 4.

G. S. Agarwal, A. T. Friberg, and E. Wolf, “Scattering theory of distortion correction by phase conjugation,” J. Opt. Soc. Am. 73, 529–538 (1983).

[CrossRef]

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Sec. 1.6, Eqs. (49) and (50).

The fact that the amplitude reflectivity μ is assumed to be constant represents, of course, an idealization. In general, μ will depend on both the direction of propagation and the state of polarization of the wave incident upon the PCM. However, experimental techniques for producing PCM’s with the property expressed by Eq. (1), at least for sufficiently small angles of incidence, have been discussed, for example, by B. Ya. Zel’dovich and V. V. Shkunov, “Spatial-polarization wavefront reversal in four-photon interaction,” Sov. J. Quantum Electron. 9, 379–381 (1979); B. Ya. Zel’dovich and T. V. Yakovleva, “Spatial-polarization wavefront reversal in stimulated scattering of the Rayleigh line wing,” Sov. J. Quantum Electron. 10, 501–505 (1980); and J. F. Lam, D. G. Steel, R. A. McFarlane, and C. R. Lind, “Atomic coherence effects in resonant degenerate four-wave mixing,” Appl. Phys. Lett. 38, 977–979 (1981).

[CrossRef]

G. S. Agarwal, A. T. Friberg, and E. Wolf, “Scattering theory of distortion correction by phase conjugation,” J. Opt. Soc. Am. 73, 529–538 (1983).

[CrossRef]

In this connection, see Sec. 7 of Ref. 1 and also E. Wolf, “Phase conjugacy and symmetries in spatially bandlimited wavefields containing no evanescent components,” J. Opt. Soc. Am. 70, 1311–1319 (1980), Theorem VI.

[CrossRef]

The fact that the amplitude reflectivity μ is assumed to be constant represents, of course, an idealization. In general, μ will depend on both the direction of propagation and the state of polarization of the wave incident upon the PCM. However, experimental techniques for producing PCM’s with the property expressed by Eq. (1), at least for sufficiently small angles of incidence, have been discussed, for example, by B. Ya. Zel’dovich and V. V. Shkunov, “Spatial-polarization wavefront reversal in four-photon interaction,” Sov. J. Quantum Electron. 9, 379–381 (1979); B. Ya. Zel’dovich and T. V. Yakovleva, “Spatial-polarization wavefront reversal in stimulated scattering of the Rayleigh line wing,” Sov. J. Quantum Electron. 10, 501–505 (1980); and J. F. Lam, D. G. Steel, R. A. McFarlane, and C. R. Lind, “Atomic coherence effects in resonant degenerate four-wave mixing,” Appl. Phys. Lett. 38, 977–979 (1981).

[CrossRef]

By making appropriate changes (see, for example, Sec. 1.6.1 of Ref. 6 below), results similar to those derived in this note for TE waves can also be obtained for TM waves.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Sec. 1.6, Eqs. (49) and (50).

The transformation [Eq. (1)] represents a complete reversal of the state of polarization of the wave on interaction with the PCM. It implies, for example, that a right-hand circularly polarized wave propagating in free space toward the PCM is turned into a right-hand circularly polarized wave propagating away from the PCM. A linearly polarized wave remains linearly polarized in the same plane.

From now on we omit the harmonic factor exp(−iωt) of the various fields.

R. Jacobsson, “Light reflection from films of continuously varying refractive index,” in Progress in Optics V, E. Wolf, ed. (North-Holland, Amsterdam, 1966), Chap. 4, Theorem 1, pp. 247–286.

[CrossRef]

See, for example, A. Vasicek, Optics of Thin Films (North-Holland, Amsterdam, 1960), Chap. 4.

P. D. Drummond and A. T. Friberg, “Specular-reflection cancelation in an interferometer with a phase-conjugate mirror” J. Appl. Phys. (to be published).