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

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.

5 figures

References in corpus (3)

• Photonic crystal fibre source of photon pairs for quantum information processing
• Shaping the joint spectrum of down-converted photons through optimized custom poling
• Modulational instability in dispersion-kicked optical fibers

Cited by in corpus (3)

• Modelling spontaneous four-wave mixing in periodically-tapered waveguides
• Engineered photon-pair generation by four-wave mixing in asymmetric coupled waveguides
• Discrete Diffraction for Spectral Purification in Spontaneous Four Wave Mixing: a Recipe