Hamiltonian Dynamics of Parametric Nonlinear Wave Mixing

S. Trillo; S. Wabnitz

doi:10.1364/NLDOS.1992.TuB3

Nonlinear Dynamics in Optical Systems
Technical Digest Series (Optica Publishing Group, 1992),
paper TuB3
•https://doi.org/10.1364/NLDOS.1992.TuB3

Hamiltonian Dynamics of Parametric Nonlinear Wave Mixing

S. Trillo and S. Wabnitz

Nonlinear Dynamics in Optical Systems 1992

Alpbach Austria
22–26 June 1992
ISBN:

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Multi wave Mixing and Phase Conjugation (TuB)

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S. Trillo and S. Wabnitz, "Hamiltonian Dynamics of Parametric Nonlinear Wave Mixing," in Nonlinear Dynamics in Optical Systems, Technical Digest Series (Optica Publishing Group, 1992), paper TuB3.

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Abstract

Exact solutions in terms of elliptic integrals to the problem of mixing between a wave and its second-harmonic in a medium with quadratic and/or cubic nonlinearity have been reported in the nonlinear optics literature since the early sixties [1-4]. These solutions involve rather cumbersome expressions which do not lead to an immediate insight into the physics of the conversion process.

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