Solitons near avoided mode crossings in χ(2) nanowaveguides

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Abstract

We present a model for χ(2) waveguides accounting for three modes, two of which make an avoided crossing at the second harmonic wavelength. We introduce two linearly coupled pure modes and adjust the coupling to replicate the waveguide dispersion near the avoided crossing. Analysis of the nonlinear system reveals continuous wave (CW) solutions across much of the parameter space and prevalence of its modulational instability. We also predict the existence of the avoided-crossing solitons, and study peculiarities of their dynamics and spectral properties, which include formation of a pedestal in the pulse tails and associated pronounced spectral peaks. Mapping these solitons onto the linear dispersion diagrams, we make connections between their existence and CW existence and stability. We also simulate the two-color soliton generation from a single-frequency pump pulse to back up its formation and stability properties.

Original languageEnglish
Article number053510
JournalPhysical Review A
Volume104
Issue number5
Early online date5 Nov 2021
DOIs
Publication statusPublished - 30 Nov 2021

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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