English

Quasi-phase-matching $\chi^{(3)}-$parametric interactions in sinusoidally-tapered waveguides

Optics 2018-02-07 v2

Abstract

In this article, I show how periodically-tapered waveguides can be employed as efficient quasi-phase-matching schemes for four-wave mixing parametric processes in third-order nonlinear materials. As an example, a thorough study of enhancing third-harmonic generation in sinusoidally-tapered fibres has been conducted. The quasi-phase-matching condition has been obtained for nonlinear parametric interactions in these structures using Fourier-series analysis. The dependencies of the conversion efficiency of the third harmonic on the modulation amplitude, tapering period, longitudinal-propagation direction, and pump wavelength have been studied. In comparison to uniform waveguides, the conversion efficiency has been enhanced by orders of magnitudes. I envisage that this work can reshape the field of guided nonlinear optics using centrosymmetric materials.

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Cite

@article{arxiv.1709.05239,
  title  = {Quasi-phase-matching $\chi^{(3)}-$parametric interactions in sinusoidally-tapered waveguides},
  author = {Mohammed F. Saleh},
  journal= {arXiv preprint arXiv:1709.05239},
  year   = {2018}
}

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