© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Annual Meeting Optical Society of America

Cancellation of specular reflection in the presence of a phase conjugate mirror

I. Lindsay, John Christopher Dainty

Published Jan 1, 1986• 0 citations

Abstract

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.

DOI: 10.1364/oam.1986.mm2

Related papers

Specular reflection cancellation in an interferometer with a phase-conjugate mirror

P. D. Drummond, Ari T. Friberg

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.

Journal of Applied Physics•Oct 1, 1983•31 citations

Phase-conjugating mirror with continuous-wave gain

Jack Feinberg, R. W. Hellwarth

We demonstrate a phase-conjugating mirror that has a continuous-wave power reflectivity much greater than unity (gain ~100). This mirror uses nonresonant degenerate four-wave mixing in a single crystal of barium titanate (BaTiO3). With our mirror we have (1) observed cw self-oscillation in an optical resonator formed by this mirror and a normal mirror, (2) demonstrated a cw oscillator that, in spite of phase-distorting material placed inside the resonator, will always emit a TEM00 mode, and (3) demonstrated an optical image amplifier. This mirror will work at any visible wavelength and with weak (milliwatt or weaker) pump beams.

WORLD SCIENTIFIC eBooks•Jul 1, 1995•0 citations

Interference pattern produced on reflection at a phase-conjugate mirror II: Experiment

Arturo A. Jacobs, Wayne R. Tompkin, Robert W. Boyd +1 more

The nature of the fringe pattern produced by interference between a wave incident upon a phase-conjugate mirror and that leaving the mirror has been studied experimentally for a phase-conjugate mirror based on degenerate four-wave mixing. The fringe locations are found to depend on the phase of the wave incident upon the mirror, in agreement with recent theoretical predictions but in contrast to the results observed for the interference pattern produced on reflection at an ordinary metal mirror. The phases of the waves that pump the phase-conjugate mirror are shown to provide the reference with respect to which the phase of the incident wave is determined.

Journal of the Optical Society of America B•Aug 1, 1987•12 citations

Phase-conjugating mirror with continuous-wave gain

Jack Feinberg, R. W. Hellwarth

We demonstrate a phase-conjugating mirror that has a continuous-wave power reflectivity much greater than unity (gain ~100). This mirror uses nonresonant degenerate four-wave mixing in a single crystal of barium titanate (BaTiO3). With our mirror we have (1) observed cw self-oscillation in an optical resonator formed by this mirror and a normal mirror, (2) demonstrated a cw oscillator that, in spite of phase-distorting material placed inside the resonator, will always emit a TEM00 mode, and (3) demonstrated an optical image amplifier. This mirror will work at any visible wavelength and with weak (milliwatt or weaker) pump beams.

Optics Letters•Dec 1, 1980•303 citations

Theory of a self-pumped phase conjugator with two coupled interaction regions

Kenneth R. MacDonald, Jack Feinberg

We present a plane-wave analysis of a recently demonstrated self-pumped phase conjugator. This device uses four-wave mixing to produce the phase-conjugate replica of an incident optical wave. All the waves are derived from the single incident wave: there are no externally supplied pumping beams. We consider the case of four-wave mixing in two interaction regions coupled by simple reflection. We calculate the phase-conjugate reflectivity as a function of coupling strength, taking into account imperfect coupling between the two interaction regions, and show that there is a threshold coupling strength below which the reflectivity is zero and above which the reflectivity is multiple valued. We also compute the coupling strength per unit length for a photorefractive crystal of barium titanate.

Journal of the Optical Society of America•May 1, 1983•165 citations

Fresnel coefficients for a phase conjugator

Henk F. Arnoldus, Thomas F. George

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.

Journal of the Optical Society of America B•Jan 1, 1989•1 citation

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.

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 demonstrate a phase-conjugating mirror that has a continuous-wave power reflectivity much greater than unity (gain ~100). This mirror uses nonresonant degenerate four-wave mixing in a single crystal of barium titanate (BaTiO3). With our mirror we have (1) observed cw self-oscillation in an optical resonator formed by this mirror and a normal mirror, (2) demonstrated a cw oscillator that, in spite of phase-distorting material placed inside the resonator, will always emit a TEM00 mode, and (3) demonstrated an optical image amplifier. This mirror will work at any visible wavelength and with weak (milliwatt or weaker) pump beams.

The nature of the fringe pattern produced by interference between a wave incident upon a phase-conjugate mirror and that leaving the mirror has been studied experimentally for a phase-conjugate mirror based on degenerate four-wave mixing. The fringe locations are found to depend on the phase of the wave incident upon the mirror, in agreement with recent theoretical predictions but in contrast to the results observed for the interference pattern produced on reflection at an ordinary metal mirror. The phases of the waves that pump the phase-conjugate mirror are shown to provide the reference with respect to which the phase of the incident wave is determined.

We demonstrate a phase-conjugating mirror that has a continuous-wave power reflectivity much greater than unity (gain ~100). This mirror uses nonresonant degenerate four-wave mixing in a single crystal of barium titanate (BaTiO3). With our mirror we have (1) observed cw self-oscillation in an optical resonator formed by this mirror and a normal mirror, (2) demonstrated a cw oscillator that, in spite of phase-distorting material placed inside the resonator, will always emit a TEM00 mode, and (3) demonstrated an optical image amplifier. This mirror will work at any visible wavelength and with weak (milliwatt or weaker) pump beams.

We present a plane-wave analysis of a recently demonstrated self-pumped phase conjugator. This device uses four-wave mixing to produce the phase-conjugate replica of an incident optical wave. All the waves are derived from the single incident wave: there are no externally supplied pumping beams. We consider the case of four-wave mixing in two interaction regions coupled by simple reflection. We calculate the phase-conjugate reflectivity as a function of coupling strength, taking into account imperfect coupling between the two interaction regions, and show that there is a threshold coupling strength below which the reflectivity is zero and above which the reflectivity is multiple valued. We also compute the coupling strength per unit length for a photorefractive crystal of barium titanate.

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.