Numerical analysis of vectorial wave propagation in waveguides with arbitrary refractive index profiles

Deana Rafizadeh*, Seng-Tiong Ho

*Corresponding author for this work

Research output: Contribution to journalArticle

17 Scopus citations

Abstract

We demonstrate an efficient numerical method for calculating transverse electric (TE) or transverse magnetic (TM) modal properties in a waveguide with an arbitrary refractive index distribution. We approximate a planar waveguide cross-section by a finite number of thin dielectric layers and use 2 × 2 transfer matrices to relate adjacent layers. Using a back-propagation method that is simple and computationally efficient, we solve for the vectorial field across the multi-layered waveguide and plot the mode profile. There is rapid convergence to a high-accuracy solution. We also obtain the number of guided modes and the propagation constant of each mode.

Original languageEnglish (US)
Pages (from-to)17-20
Number of pages4
JournalOptics Communications
Volume141
Issue number1-2
DOIs
StatePublished - Aug 15 1997

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering

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