A symmetry analysis in the mixed grating geometry of degenerate four-wave mixing in saturable-gain media

The mixed grating degenerate four-wave mixing equations in saturable gain media are presented in the transient regime. It is shown that they cannot be obtained from the superposition of the single grating equations. SO(4) and Sp(2) are respectively identified as the symmetry groups acting upon the t...

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Bibliographic Details
Published inOptics communications Vol. 128; no. 4; pp. 275 - 280
Main Authors Gutiérrez-Castrejón, R, Hung, K.M, Hall, T.J
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.07.1996
Elsevier Science
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Nonlinear optics
Optics
Phase conjugation, optical mixing, and photorefractive effect
Phase conjugation, optical mixing; photorefractive and kerr effects
Physics
Saturable absorbers
Transmission grating
Four-wave mixing
Theoretical study
Symmetry groups
Reflection grating
Nonlinear optics
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Summary:The mixed grating degenerate four-wave mixing equations in saturable gain media are presented in the transient regime. It is shown that they cannot be obtained from the superposition of the single grating equations. SO(4) and Sp(2) are respectively identified as the symmetry groups acting upon the transmission and reflection grating process, where conserved quantities are shown to arise naturally. No conserved quantities were found for the mixed grating case.
ISSN:0030-4018
1873-0310
DOI:10.1016/0030-4018(96)00159-9