Fourier analysis of high-index-contrast slab waveguide with step discontinuity: An analytical and exact solution

Yijing Chen*, Yong Ma, Yicheng Lai, Yingyan Huang, Seng-Tiong Ho

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We propose a novel technique based on Fourier analysis and perturbation theory to describe completely the step discontinuity in a slab waveguide of any index contrast without the need for analytical approximations or assumptions. Through this technique, we derive a spectral overlapping criterion and a coupling matrix that analyzes effectively the roles of the radiation modes in the resultant computation accuracy. A symmetric nano-waveguide with 55.9% index contrast is investigated under normal incident light condition along TE polarization. The total reflectance and the guided power reflectivity are computed at the waveguide-air interface. Results obtained are consistent with the FDTD simulation and only requires very short computational time.

Original languageEnglish (US)
Title of host publication2010 Photonics Global Conference, PGC 2010
DOIs
StatePublished - Dec 1 2010
Event2010 Photonics Global Conference, PGC 2010 - Orchard, Singapore
Duration: Dec 14 2010Dec 16 2010

Other

Other2010 Photonics Global Conference, PGC 2010
CountrySingapore
CityOrchard
Period12/14/1012/16/10

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics

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