© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Journal of the Optical Society of America B

Influence of multigrating operation on the generation of phase-conjugate beams by four-wave mixing

Jacobo Limeres Posse, M. Carrascosa

Published Jul 1, 1998• 1 citation

Abstract

A numerical simulation for studying the kinetics of phase-conjugate beams generated by multigrating four-wave mixing has been developed. It has been applied to investigate the four-wave mixing process in BaTiO3 by use of realistic coupling coefficients. The role of the distinct gratings has been analyzed. Depending on the experimental conditions, constructive as well as destructive interference of the different contributions was obtained. Moreover, because of grating competition effects, π-phase changes in the phase-conjugate beam can occur during the kinetics. For large values of the coupling strength and specific regions of the physical parameters, unstable four-wave mixing dynamics were obtained. The analysis of the results provides some criteria for predicting the phase conjugator’s behavior in multigrating conditions.

DOI: 10.1364/josab.15.002037

Related papers

Multigrating optical phase conjugation: numerical results

Milivoj R. Belić, Wieslaw Z. Krolikowski

Multigrating optical phase conjugation in photorefractive media in the case of pump depletion and for arbitrary relationships among different coupling strengths is studied numerically. The role of linear absorption as well as the role of all the coupling mechanisms and their competition in the wave mixing process is examined. It is found that multigrating operation with accidental values of coupling constants leads to a decrease in the efficiency of the process. It is also shown that the presence of absorption, which is in principle detrimental, sometimes exerts a beneficial influence on multigrating phase conjugation.

Journal of the Optical Society of America B•May 1, 1989•14 citations

Multigrating competition effects in photorefractive mutually pumped phase conjugation

Q. Byron He, Claire Gu, Ratnakar R. Neurgaonkar +1 more

We present both steady-state and dynamical studies of multigrating competition effects in photorefractive mutually pumped phase conjugation. It is shown that in the case of a single interaction region the conical ring, resulting from the scattering by multiple gratings, will collapse to the plane-wave component that has the highest gain. The coupling between the scattered beams is also considered. Both theoretical and experimental results are presented and discussed.

Journal of the Optical Society of America B•Jan 1, 1992•23 citations

Multigrating phase conjugation: exact results

Wieslaw Z. Krolikowski, Milivoj R. Belić

Multigrating operation of degenerate four-wave mixing in photorefractive media is considered in the strong pump regime. Closed-form expressions for the reflectivity are obtained for the cases of absorption and no absorption. An arbitrary phase mismatch between the intensity interference fringes and the refractive-index gratings is allowed.

Optics Letters•Feb 1, 1988•11 citations

Mulitigrating optical phase conjugation with considerations of phase effects

Ping Xie, Jian-Hua Dai, Zhang Hong-jun

We develop a numerical method to solve the coupled-wave equations for four-wave mixing phase conjugation in a photorefractive crystal with unequal complex coupling constants; by this method we can obtain both the intensities and the phases of various beams. We discuss the intensities and the phases of the interacting beams in a photorefractive crystal for the cases in which the phase shifts between the refractive-index gratings and the interference pattern are all π/2 and in which they are not all π/2.

Journal of the Optical Society of America B•Dec 1, 1992•8 citations

Phase conjugation via multiple gratings in photorefractive crystals

Milivoj R. Belić

We consider phase conjugation via degenerate four-wave mixing in photorefractive crystals when more than one grating mechanism is operative. A method for exact solution of the steady-state wave equations which include pump depletion is presented. It is discovered that equal-strength multigrating operation does not allow signal amplification.

Physical Review A•Mar 1, 1988•13 citations

Reflectivity of photorefractive cross-polarized four-wave mixing in consideration of pump depletion

Hisashi Matsuoka, Atsushi Okamoto, Mototsugu Takamura +1 more

We analyze the phase-conjugate reflectivity and the amplification property of cross-polarized four-wave mixing with a photorefractive BaTiO3 crystal in consideration of the pump-beam depletion. The coupled-wave equations of cross-polarized four-wave mixing with ordinary writing beams and an extraordinary reading beam are derived and solved with the grating-integral method. The results of calculations of the reflectivity and the amplification factors will be compared with the result under the undepleted-pumps approximation. In addition, to achieve high conversion efficiency, the optimum conditions for the intensity ratio and the angle configurations of the probe and pump beams are also discussed.

Journal of the Optical Society of America B•May 1, 1998•10 citations

A numerical simulation for studying the kinetics of phase-conjugate beams generated by multigrating four-wave mixing has been developed. It has been applied to investigate the four-wave mixing process in BaTiO3 by use of realistic coupling coefficients. The role of the distinct gratings has been analyzed. Depending on the experimental conditions, constructive as well as destructive interference of the different contributions was obtained. Moreover, because of grating competition effects, π-phase changes in the phase-conjugate beam can occur during the kinetics. For large values of the coupling strength and specific regions of the physical parameters, unstable four-wave mixing dynamics were obtained. The analysis of the results provides some criteria for predicting the phase conjugator’s behavior in multigrating conditions.

Multigrating optical phase conjugation in photorefractive media in the case of pump depletion and for arbitrary relationships among different coupling strengths is studied numerically. The role of linear absorption as well as the role of all the coupling mechanisms and their competition in the wave mixing process is examined. It is found that multigrating operation with accidental values of coupling constants leads to a decrease in the efficiency of the process. It is also shown that the presence of absorption, which is in principle detrimental, sometimes exerts a beneficial influence on multigrating phase conjugation.

We develop a numerical method to solve the coupled-wave equations for four-wave mixing phase conjugation in a photorefractive crystal with unequal complex coupling constants; by this method we can obtain both the intensities and the phases of various beams. We discuss the intensities and the phases of the interacting beams in a photorefractive crystal for the cases in which the phase shifts between the refractive-index gratings and the interference pattern are all π/2 and in which they are not all π/2.

We analyze the phase-conjugate reflectivity and the amplification property of cross-polarized four-wave mixing with a photorefractive BaTiO3 crystal in consideration of the pump-beam depletion. The coupled-wave equations of cross-polarized four-wave mixing with ordinary writing beams and an extraordinary reading beam are derived and solved with the grating-integral method. The results of calculations of the reflectivity and the amplification factors will be compared with the result under the undepleted-pumps approximation. In addition, to achieve high conversion efficiency, the optimum conditions for the intensity ratio and the angle configurations of the probe and pump beams are also discussed.