利用底层SU(2)群对称的四波混频稳态解

Photorefractive Materials, Effects, and Devices Pub Date : 1900-01-01 DOI:10.1364/pmed.1991.mc11

D. Fish, A. K. Powell, T. J. Hall

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摘要

标量四波混频方程的一种求解方法已有多年的历史[1]。我们证明了这些方程具有SU(2)群形式的潜在对称性。这个公式在明显的意义上确定了四波混频的守恒量，而不是以前使用的特别方式。该方法还用梁幅而不是梁比来求解方程。

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Four-Wave Mixing Steady-State Solutions Utilising the Underlying SU(2) Group Symmetry

A method of solution for the scalar four wave mixing equations has been known for many years [1]. We show that these equations have an underlying symmetry in the form of the SU(2) group. This formulation identifies the conserved quantities of four wave mixing in an obvious sense rather than in the ad-hoc fashion used previously. The method also solves the equations in terms of beam amplitudes rather than beam ratios.

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$Photorefractive Materials, Effects, and Devices$

Photorefractive Materials, Effects, and Devices

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