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Derivation of Nonlinear Evolution Equations for Coupled and Single Fields in a Quadratic Medium

Jeffrey Moses·Frank W. Wise
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Abstract

We derive coupled propagation equations for ultrashort pulses in a degenerate three-wave mixing process in quadratic media, using approximations consistent with the slowly evolving wave approximation [T. Brabec and F. Krausz, Phys. Rev. Lett. 78, 3282 (1997)]. From these we derive an approximate single-field equation for the fundamental field. This document expands upon mathematics used for work submitted by the same authors to Physical Review Letters.

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Jeffrey Moses, Frank W. Wise. 2006-04-20. Derivation of Nonlinear Evolution Equations for Coupled and Single Fields in a Quadratic Medium. https://arxiv.org/abs/physics/0604170

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