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

Optics Letters

Exact solution of degenerate four-wave mixing in photorefractive media

Aleksander Błȩdowski, Wieslaw Z. Krolikowski

Published Feb 1, 1988• 17 citations
Publisher

Abstract

A novel method for the exact solution of four-wave mixing in photorefractive media is presented. This method allows us to treat exactly the effects of nonequal angles of incidence, different refractive-index modulation of interacting waves, and external incoherent illumination of the photorefractive crystal.
DOI
10.1364/ol.13.000146

Related papers

Exact Solution to the Degenerate Four–Wave Mixing in Transmission Geometry in Photorefractive Media

Ying Wu, Guo-Qin Ge, Zhanping Xu

The exact solution of the degenerate four–wave mixing in transmission geometry in photore-fractive media for a zero phase shift between the refractive index grating and interference pattern of the optical beams is presented. Our solution gives both the intensities and the phases of various beams.

Communications in Theoretical Physics•Jul 1, 1991•3 citations

Exact solution to the degenerate four-wave mixing in reflection geometry in photorefractive media

Milivoj R. Belić

A method for exact solution of the stationary holographic degenerate four-wave mixing in reflection geometry in photorefractive media is presented. The effects of pump depletion and light absorption in the nonlinear dynamic medium are rigorously taken into account. Numerical steps in the procedure are reduced to the solution of one simple nonlinear first-order differential equation, or are absent altogether when the equation is linearized, or for the case of no absorption. The method of solution is applicable to other wave-mixing geometries as well.

Physical Review A•May 1, 1985•35 citations

Exact solution of degenerate four-wave mixing in photorefractive media

Aleksander Błȩdowski, Wieslaw Z. Krolikowski

WORLD SCIENTIFIC eBooks•Jul 1, 1995•0 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

Simple theory for degenerate four-wave mixing in photorefractive media

Paul Michael Petersen, Per Michael Johansen

A simple analytic theory for degenerate four-wave mixing in photorefractive media is presented. The theory is valid when the backward pump-beam intensity is much smaller than the forward pump-beam and probe-beam intensities.

Optics Letters•Jan 1, 1988•4 citations
A method for exact solution of the stationary holographic degenerate four-wave mixing in reflection geometry in photorefractive media is presented. The effects of pump depletion and light absorption in the nonlinear dynamic medium are rigorously taken into account. Numerical steps in the procedure are reduced to the solution of one simple nonlinear first-order differential equation, or are absent altogether when the equation is linearized, or for the case of no absorption. The method of solution is applicable to other wave-mixing geometries as well.
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.