Symmetries of photorefractive four-wave mixing

Predrag Stojkov; Milivoj Belić

doi:10.1103/PhysRevA.45.5061

Symmetries of photorefractive four-wave mixing

Predrag Stojkov^*, Milivoj Belić

^*Corresponding author for this work

University of Belgrade

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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 method of integration of the equations is 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 the equations, only one independent variable is found necessary to solve the problem.

Original language	English
Pages (from-to)	5061-5064
Number of pages	4
Journal	Physical Review A
Volume	45
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevA.45.5061
Publication status	Published - 1992
Externally published	Yes

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10.1103/PhysRevA.45.5061

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title = "Symmetries of photorefractive four-wave mixing",

abstract = "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 method of integration of the equations is 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 the equations, only one independent variable is found necessary to solve the problem.",

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AU - Belić, Milivoj

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AB - 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 method of integration of the equations is 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 the equations, only one independent variable is found necessary to solve the problem.

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U2 - 10.1103/PhysRevA.45.5061

DO - 10.1103/PhysRevA.45.5061

M3 - Article

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VL - 45

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EP - 5064

JO - Physical Review A

JF - Physical Review A

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Symmetries of photorefractive four-wave mixing

Abstract

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