Multi-dimensional pulse propagation in non-resonant x(2) materials

Mark J. Ablowitz; Gino Biondini; Steve Blair

doi:10.1016/S0375-9601(97)00845-1

Multi-dimensional pulse propagation in non-resonant _x⁽²⁾ materials

Mark J. Ablowitz
, Gino Biondini
, Steve Blair

Mathematics

University of Colorado Boulder

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

29 Scopus citations

Abstract

The asymptotic equations governing the envelope of a quasi-monochromatic optical pulse in a non-resonant _x⁽²⁾ material are derived. Under rather general assumptions, equations of nonlinear Schrödinger (NLS) type with coupling to mean fields result. In relevant physical situations either scalar or vector systems are obtained. Special reductions include the usual scalar and vector NLS equations. Based on results of similar systems a brief discussion of some of the properties of the equation is included.

Original language	English
Pages (from-to)	520-524
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	236
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(97)00845-1
State	Published - Dec 22 1997

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10.1016/S0375-9601(97)00845-1

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title = "Multi-dimensional pulse propagation in non-resonant x(2) materials",

abstract = "The asymptotic equations governing the envelope of a quasi-monochromatic optical pulse in a non-resonant x(2) material are derived. Under rather general assumptions, equations of nonlinear Schr{\"o}dinger (NLS) type with coupling to mean fields result. In relevant physical situations either scalar or vector systems are obtained. Special reductions include the usual scalar and vector NLS equations. Based on results of similar systems a brief discussion of some of the properties of the equation is included.",

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AU - Biondini, Gino

AU - Blair, Steve

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Y1 - 1997/12/22

N2 - The asymptotic equations governing the envelope of a quasi-monochromatic optical pulse in a non-resonant x(2) material are derived. Under rather general assumptions, equations of nonlinear Schrödinger (NLS) type with coupling to mean fields result. In relevant physical situations either scalar or vector systems are obtained. Special reductions include the usual scalar and vector NLS equations. Based on results of similar systems a brief discussion of some of the properties of the equation is included.

AB - The asymptotic equations governing the envelope of a quasi-monochromatic optical pulse in a non-resonant x(2) material are derived. Under rather general assumptions, equations of nonlinear Schrödinger (NLS) type with coupling to mean fields result. In relevant physical situations either scalar or vector systems are obtained. Special reductions include the usual scalar and vector NLS equations. Based on results of similar systems a brief discussion of some of the properties of the equation is included.

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U2 - 10.1016/S0375-9601(97)00845-1

DO - 10.1016/S0375-9601(97)00845-1

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SN - 0375-9601

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Multi-dimensional pulse propagation in non-resonant _x⁽²⁾ materials

Abstract

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