Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of the Optical Society of America B

Photorefractive four-wave mixing with high-speed modulated beams

Yan Li, Xiudong Sun, Yongyuan Jiang, Zhongxiang Zhou, Kebin Xu

Published Dec 1, 1997• 3 citations
Publisher

Abstract

Photorefractive four-wave mixing with high-speed modulated beams is studied theoretically. The analytical solutions for the steady-state coupled equations describing four-wave mixing with an arbitrary complex-coupling constant are given without the undepleted-pump approximation.
DOI
10.1364/josab.14.003378

Related papers

Four-wave mixing in photorefractive crystals with depleted pumps: an analytical treatment

J. Goltz, Theo T. Tschudi

We present an analytical approximative solution of four-wave mixing in photorefractive crystals with depleted pumps for the case of a negative coupling coefficient and then discuss the solution.

Optics Letters•Apr 15, 1989•3 citations

Effects of Absorption on Multivalued Solutions in Photorefractive Four-wave Mixing with Complex Coupling Constant

Kenneth D. Shaw

The steady-state coupled wave equations describing anisotropic photorefractive four-wave mixing with absorption in cubic crystals are solved for the general case where the coupling constant is complex. The effects of absorption on the behaviour of the multivalued solutions that occur under these conditions are examined, and the consequences for the dynamical behaviour are discussed.

Journal of Modern Optics•Aug 1, 1993•0 citations

Two-wave mixing of time-varying non-plane-wave optical fields in photorefractive materials

L. Boutsikaris, F. Davidson

A theoretical analysis is presented of two-wave mixing in photorefractive materials in which the complex amplitude of a weak signal beam has slowly varying but otherwise arbitrary spatial dependence and arbitrary time variation. The set of coupled partial differential equations that couple the dynamics of the optical fields to the photorefractive medium is solved analytically to give the complex amplitude of the transmitted signal in the undepleted pump regime. The results are compared with known results for the transient two-wave mixing of plane waves.

Applied Optics•Mar 20, 1993•12 citations

Nonlinear vectorial two-beam coupling and forward four-wave mixing in photorefractive materials

Baruch Fischer, Jeffrey Owen White, Mark Cronin‐Golomb +1 more

We present an exact solution of a nonlinear vector analysis of two-beam coupling and forward four-wave mixing in photorefractive media.In this Letter we present an exact solution with linear absorption for a system of nonlinear differential equations that model two separate photorefractive processes.The first is the coupling of two beams with general

Optics Letters•Apr 1, 1986•25 citations

Phase Conjugation by Diffraction Gratings in Photorefractive Crystals

M.H. Majles Ara, Mahdi Esmaeilzadeh

Here we present four wave mixing configuration as one of the most important methods of generation and explanation of process of generation phase conjugation light the coupled equation was solved by three methods: undepleted pump approximation exact solution and two wave mixing approximation. Although exact solutions can be derived for four-wave mixing, the results are difficult to use because of the complicated transcendental equation involved. Solved the coupled equations and introduce an approximation in which two-wave mixing is the dominant process.

Asia-Pacific Microwave Conference (APMC)•Mar 22, 2006•0 citations

Stability analysis and temporal behavior of four-wave mixing in photorefractive crystals

Wieslaw Z. Krolikowski, Aleksander Błȩdowski, K. D. Shaw +1 more

The stability of the steady-state solutions of four-wave mixing in photorefractive crystals has been studied. Two complementary methods have been used: linear stability analysis and time integration of the nonlinear equations. A critical dependence of the stability on the phase of the perturbation has been revealed. The existence of two stable solutions for certain values of some parameters has been found. Also, regimes of unstable behavior in cases with a unique steady-state solution for large values of the pump ratio have been found.

Journal of the Optical Society of America B•Oct 1, 1989•26 citations
A theoretical analysis is presented of two-wave mixing in photorefractive materials in which the complex amplitude of a weak signal beam has slowly varying but otherwise arbitrary spatial dependence and arbitrary time variation. The set of coupled partial differential equations that couple the dynamics of the optical fields to the photorefractive medium is solved analytically to give the complex amplitude of the transmitted signal in the undepleted pump regime. The results are compared with known results for the transient two-wave mixing of plane waves.
Here we present four wave mixing configuration as one of the most important methods of generation and explanation of process of generation phase conjugation light the coupled equation was solved by three methods: undepleted pump approximation exact solution and two wave mixing approximation. Although exact solutions can be derived for four-wave mixing, the results are difficult to use because of the complicated transcendental equation involved. Solved the coupled equations and introduce an approximation in which two-wave mixing is the dominant process.
The stability of the steady-state solutions of four-wave mixing in photorefractive crystals has been studied. Two complementary methods have been used: linear stability analysis and time integration of the nonlinear equations. A critical dependence of the stability on the phase of the perturbation has been revealed. The existence of two stable solutions for certain values of some parameters has been found. Also, regimes of unstable behavior in cases with a unique steady-state solution for large values of the pump ratio have been found.