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Proceedings Paper

Resonant parametric interaction of electromagnetic waves in quadratic nonlinear medium
Author(s): Elena V. Kazantseva; Andrei I. Maimistov; Dmitry V. Skryabin
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Paper Abstract

We derive nonlinear evolution equations describing parametric up- and down-conversion under the conditions when either of the two interacting waves is in resonance with a material transition, e.g., with plasmonic oscillations. Using perturbation theory in the limit of the large wave-number mismatch we drive analytical expressions for two families of quasi-solitonic solutions. If material transition is in resonance with the second-harmonic then the quasi-solitons are of the Nonlinear-Schrodinger type. If the fundamental frequency is in resonance then the reduced system is the paraxial wave equation coupled to the nonlinear classical oscillator. The latter system is integrated analytically and localized solutions are presented.

Paper Details

Date Published: 9 June 2006
PDF: 9 pages
Proc. SPIE 6181, Photon Echo and Coherent Spectroscopy 2005, 61810K (9 June 2006); doi: 10.1117/12.675051
Show Author Affiliations
Elena V. Kazantseva, Moscow Engineering Physics Institute (Russia)
Univ. de Bourgogne (France)
Andrei I. Maimistov, Moscow Engineering Physics Institute (Russia)
Dmitry V. Skryabin, Univ. of Bath (United Kingdom)

Published in SPIE Proceedings Vol. 6181:
Photon Echo and Coherent Spectroscopy 2005
Vitaly V. Samartsev, Editor(s)

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