Interaction between optical fields and their conjugates in nonlinear media

Matteo Conforti (1) , Andrea Marini (2) , Truong Tran (2) , Daniele Faccio (3) , Fabio Biancalana (2)

1 Dipartimento di Ingegneria dell'Informazione [Brescia]
2 Max Planck Institute for the Science of Light
3 HWU - Heriot-Watt University [Edinburgh]

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 negative-frequency resonant radiation observed in previously reported experiments.

Mots clés: Ultrafast nonlinear optics; Nonlinear optics; parametric processes; Pulse propagation and temporal solitons

Domaines: Optique [physics.optics]; Formation de Structures et Solitons [nlin.PS]

Matteo Conforti, Andrea Marini, Truong Tran, Daniele Faccio, Fabio Biancalana. Interaction between optical fields and their conjugates in nonlinear media. Optics Express, 2013, 21 (25), pp.31239. ⟨10.1364/OE.21.031239⟩. ⟨hal-02394240⟩