Numerical Method for Analysis of Waveguide Modes in Planar Gradient Waveguides

Authors

  • Volodymyr Mykhailovych FITIO Lviv Polytechnic National University
  • Volodymyr Volodymyrovych ROMAKH Lviv Polytechnic National University
  • Yaroslav Vasylovych BOBITSKI Lviv Polytechnic National University

DOI:

https://doi.org/10.5755/j01.ms.20.3.4841

Keywords:

Fourier transform, convolution, propagation constant, spatial frequency, wave equation

Abstract

This paper presents a numerical method developed to find propagation constants of planar waveguide localized modes. The method is based on both the Fourier transform application and the wave equation solution in a frequency domain. As a result, integral equation is obtained where integral is replaced by sum. Finally, a task to find propagation constants and field Fourier transforms in a discrete form is led to the eigenvalue/eigenvector problem. This method provides high accuracy subject to the conditions of the Whittaker-Shannon sampling theorem, and it is characterized by high numerical stability. The method is tested on many examples.

DOI: http://dx.doi.org/10.5755/j01.ms.20.3.4841

Downloads

Published

2014-09-16

Issue

Vol. 20 No. 3 (2014)

Section

ELECTRONIC AND OPTICAL MATERIALS

License

 

The copyrights for articles in this journal are retained by the author(s), with first publication rights granted to the journal. By virtue of their appearance in this open-access journal, articles are free to use with proper attribution in educational and other non-commercial settings.