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Theory of pulsed four-wave mixing in one-dimensional silicon photonic crystal slab waveguides

Lavdas, S; Panoiu, NC; (2016) Theory of pulsed four-wave mixing in one-dimensional silicon photonic crystal slab waveguides. Physical Review B - Condensed Matter and Materials Physics , 93 , Article 115435. 10.1103/PhysRevB.93.115435. Green open access

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Abstract

We present a comprehensive theoretical analysis and computational study of four-wave mixing (FWM) of optical pulses co-propagating in one-dimensional silicon photonic crystal waveguides (Si-PhCWGs). Our theoretical analysis describes a very general setup of the interacting optical pulses, namely we consider nondegenerate FWM in a configuration in which at each frequency there exists a superposition of guiding modes. We incorporate in our theoretical model all relevant linear optical effects, including waveguide loss, free-carrier (FC) dispersion and FC absorption, nonlinear optical effects such as self- and cross-phase modulation (SPM, XPM), two-photon absorption (TPA), and cross-absorption modulation (XAM), as well as the coupled dynamics of free-carriers FCs and optical field. In particular, our theoretical analysis based on the coupled-mode theory provides rigorously derived formulas for linear dispersion coefficients of the guiding modes, linear coupling coefficients between these modes, as well as the nonlinear waveguide coefficients describing SPM, XPM, TPA, XAM, and FWM. In addition, our theoretical analysis and numerical simulations reveal key differences between the characteristics of FWM in the slow- and fast-light regimes, which could potentially have important implications to the design of ultracompact active photonic devices.

Type: Article
Title: Theory of pulsed four-wave mixing in one-dimensional silicon photonic crystal slab waveguides
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevB.93.115435
Publisher version: http://dx.doi.org/10.1103/PhysRevB.93.115435
Language: English
Additional information: © 2016 American Physical Society.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1479888
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