Symmetries of the photoreactive four-wave mixing

Predrag Stojkov and Milivoj Belic

Institute of Physics, PO Box 57, 11001 Belgrade, Yugoslavia


Phys. Rev. A, Vol. 45, N7, 1 April 1992, P.5061-5064


A symmetry analysis of degenerate four-wave mixing equations in photorefractive crystals is carried out. Using underlying Su-symmetries, a systematic derivation of conserved quantities is performed, and a new method of integration of the equations introduced. Five conserved quantities are found, suggesting that the initial four complex equations can be expressed in terms of three real quantities (Euler angles or other). However,. due to the form of equations, only one independent variable is found necessary to solve the problem.

Republished in:

Landmark Papers on Photorefractive nonlinear Optics

Editors: Pochi yeh and Claire Gu;

World Scientific; 1995;

pp 281-284;
ISBN 981021443 X ; Qc446.2.L36 1995