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Interaction between optical fields and their conjugates in nonlinear media

Conforti, M. and Marini, A. and Tran, T.X. and Faccio, D. and Biancalana, F. (2013) Interaction between optical fields and their conjugates in nonlinear media. Optics Express, 21 (25). pp. 31239-31252. ISSN 10944087

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Abstract

Motivated by recent experimental results, we demonstrate that the ubiquitous pulse propagation equation based on a single generalized nonlinear Schrödinger equation is incomplete and inadequate to explain the formation of the so called negative-frequency resonant radiation emitted by optical solitons. The origin of this deficiency is due to the absence of a peculiar nonlinear coupling between the positive and negative frequency components of the pulse spectrum during propagation, a feature that the slowly-varying envelope approximation is unable to capture. We therefore introduce a conceptually new model, based on the envelope of the analytic signal, that takes into account the full spectral dynamics of all frequency components, is prone to analytical treatment and retains the simulation efficiency of the nonlinear Schrödinger equation. We use our new equation to derive from first principles the phase-matching condition of the negativefrequency resonant radiation observed in previously reported experiments. © 2013 Optical Society of America.

Item Type: Article
Divisions: Faculties > Faculty of Physical and Chemical Engineering
Identification Number: 10.1364/OE.21.031239
Uncontrolled Keywords: Computer simulation; Light pulse generators; Nonlinear equations; Solitons; Analytical treatment; Frequency components; Negative frequency; Nonlinear coupling; Phase-matching condition; Resonant radiation; Simulation efficiency; Spectral dynamics; Nonlinear optics
Additional Information: Language of original document: English. All Open Access, Gold, Green.
URI: http://eprints.lqdtu.edu.vn/id/eprint/10029

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