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

Stabilization of unstable steady states in photorefractive phase conjugators

Ping Xie, Peng‐Ye Wang, Jian-Hua Dai

Published Jun 1, 2000• 2 citations
Publisher

Abstract

A semiderivative method, which consists of illumination of a photorefractive medium with a weak beam that is incoherent with the interacting beams, is described for stabilization of unstable steady states in photorefractive phase conjugators, such as an externally pumped four-wave mixer, a semilinear self-pumped phase conjugator, and a double phase conjugator.

DOI
10.1364/josab.17.001004

Related papers

Photorefractive phase conjugators

M. D. Ewbank

The demonstration of optical phase conjugation in photorefractive materials has been accomplished by numerous methods, including i) externally-pumped four-wave mixing,1ii) self-pumped (passive) phase conjugation,24iii) stimulated backscattering,5,6and iv) mutually-pumped phase conjugation.7-10Stimulated backscattering and self-pumped phase conjugators have only a single incident beam. On the other hand, externally-pumped four-wave mixing has two auxiliary pumping beams in addition to the incident probe beam. Different still is the cross-conjugation of the two incident beams in mutually pumped phase conjugators. To use these conjugators in a given application, the compatibility between the processes generating the phase-conjugate wave(s) and the application must be considered. The distinguishing features of the different conjugators translate to advantages or disadvantages for certain applications.

Digest on Nonlinear Optics: Materials, Phenomena and Devices•Jan 1, 1990•1 citation

Theory Of Photorefractive Nonlinear Effects In A Self-Pumped Phase Conjugator

Paul Michael Petersen

A theoretical investigation of four-wave mixing in a photorefractive oscillator in the limit of one strong probe beam has been performed. The perturbational approach is compared with an exact numerical calculation.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 4, 1990•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

Exact solution of degenerate four-wave mixing in photorefractive media

Aleksander Błȩdowski, Wieslaw Z. Krolikowski

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.

Optics Letters•Feb 1, 1988•17 citations

Optical Bistability in a Photorefractive Self-Pumped Phase-Conjugator

Jiasen Zhang, Shin Yoshikado, Tadashi Aruga

We demonstrate the bistable behavior in a photorefractive self-pumped phase-conjugator (SPPC) theoretically and experimentally. In the method, an incoherent erase beam is used to erase the four-wave mixing (FWM) region of the SPPC, and thus the threshold of the SPPC depends on the intensity ratio of the erase beam to the sum of the coherent beams in the FWM region. Even a white light can be used to control the reflectivity as a switch.

Japanese Journal of Applied Physics•Jan 15, 2002•0 citations

Phase conjugation of mutually incoherent light beams in a photorefractive medium

A. A. Zozulya, A. V. Mamaev

Journal of Experimental and Theoretical Physics•Jan 1, 1990•0 citations
A semiderivative method, which consists of illumination of a photorefractive medium with a weak beam that is incoherent with the interacting beams, is described for stabilization of unstable steady states in photorefractive phase conjugators, such as an externally pumped four-wave mixer, a semilinear self-pumped phase conjugator, and a double phase conjugator.
The demonstration of optical phase conjugation in photorefractive materials has been accomplished by numerous methods, including i) externally-pumped four-wave mixing,1ii) self-pumped (passive) phase conjugation,24iii) stimulated backscattering,5,6and iv) mutually-pumped phase conjugation.7-10Stimulated backscattering and self-pumped phase conjugators have only a single incident beam. On the other hand, externally-pumped four-wave mixing has two auxiliary pumping beams in addition to the incident probe beam. Different still is the cross-conjugation of the two incident beams in mutually pumped phase conjugators. To use these conjugators in a given application, the compatibility between the processes generating the phase-conjugate wave(s) and the application must be considered. The distinguishing features of the different conjugators translate to advantages or disadvantages for certain applications.
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.