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Photorefractive Effects, Materials, and Devices

Auto-oscillations of phase conjugate wave and reduced specular reflectivity from Feinberg’ cat conjugator

Shinichi Itoh, Yoshiaki Uesu, Noriko Oh-hori, Serguey G. Odoulov

Published Jan 1, 1999• 0 citations
Publisher

Abstract

An incomplete correlation is discovered between the phase conjugate reflectivity and inhibited specular reflectivity from the sample in Feinberg' Cat Conjugator generating a train of regular pulses with the cw incident pump wave. The frequency chirp within every spike of conjugate wave is shown to affect the efficiency of the secondary phase conjugator generating auxiliary wave in the direction of Fresnel reflection of the incident wave.

DOI
10.1364/apmed.1999.wmpc14

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An incomplete correlation is discovered between the phase conjugate reflectivity and inhibited specular reflectivity from the sample in Feinberg' Cat Conjugator generating a train of regular pulses with the cw incident pump wave. The frequency chirp within every spike of conjugate wave is shown to affect the efficiency of the secondary phase conjugator generating auxiliary wave in the direction of Fresnel reflection of the incident wave.
Optical phase conjugation by four-wave mixing is examined in detail. The Fresnel coefficients for reflection and transmission of a plane wave irradiating the surface of the phase conjugator are calculated. It appears that for normal incidence and a weak nonlinear interaction the device produces the phase-conjugated beam with respect to the incoming beam. For finite angles of incidence or stronger nonlinearities in the crystal, the generated wave deviates from the ideal conjugated wave, and also a second, specularly reflected, wave appears.
We measure the spectral reflectivity of a Cat (so named because its first conjugated image was that of a cat) self-pumped conjugator. We find that the transmission and the phase-conjugate reflectivity of the conjugator always vary periodically with wavelength and that the periodicity is caused by a resonator loop that springs up and self-adjusts inside the crystal. Depending on the spectral width of the incident beam, the conjugator will have either a minimum or a maximum reflectivity at the center of the writing spectrum. We show that the sign of the coherence function after one round trip of the internal resonator determines the spectral behavior of the conjugator, and we experimentally map out the dependence of the conjugator’s reflectivity and transmission on the spectral content of the incident beam.
Abstract The properties of the phase‐conjugate reflectivity are analyzed anew for the self‐pumped four‐wave mixing in which only the two waves, i.e., the forward pump wave and the probe wave, are incident on the photo‐refractive crystal and the phase‐conjugate wave of the forward pump wave is used as the backward pump wave. First, by means of a model in which a Cat‐type phase conjugator is placed outside the interaction region, the equation for the phase‐conjugate reflectivity of self‐pumped four‐wave mixing using a transmission grating is derived. Next, the numerical calculations have been used for the first time to determine the effects of the coupling strength, the probe ratio as the incident intensity ratio of the forward pump wave to the probe wave, and the reflectivity of the Cat‐type phase conjugator on the entire phase conjugate reflectivity. Since the equation describing the phase‐conjugate reflectivity has multiple solutions, the strict analysis of the equation shows that the phase‐conjugate reflectivity has multiple values. Further, the conditions for high phase‐conjugate reflectivity has been studied.
An ordinary mirror placed in front of a phase-conjugate mirror forms a type of Fabry–Perot interferometer with unusual reflection properties. The specularly reflected and phase-conjugate reflected intensities are analyzed for arbitrary reflection coefficients, given an incident monochromatic linearly polarized plane wave. It is shown that if the ordinary mirror is lossless and the phase-conjugate reflectivity is unity, the specularly reflected wave disappears completely. This leaves only the phase-conjugate reflected wave that propagates in the direction opposite to that of the incident wave. The above result is independent of the reflectivity of the ordinary mirror and the separation between the two interferometer mirrors. Some of the main effects due to absorption in the ordinary mirror are briefly discussed.
We present experimental results showing the partial cancellation of the specular reflection off a lossless partially transmitting ordinary plane mirror in the presence of a phase conjugate mirror. This effect was first theoretically predicted by Drummond and Friberg.1 In the experimental situation a single domain photorefractive crystal of barium titanate operating via degenerate four-wave mixing acted as the phase conjugate mirror. It was placed behind a lossless partially transmitting ordinary plane mirror so that an optical resonant activity was created. Collimated light was directed onto the ordinary mirror at non-normal incidence. The intensity of the specular reflection was monitored, the extent of its cancellation for the measured phase conjugate reflectivities agreed well with the proposed theory.2 The experimental results lay marginally above the theoretical curve. The reason for such a systematic error is considered to lie with the fidelity of the phase conjugate generated.