Numerical Method for Analysis of Waveguide Modes in Planar Gradient Waveguides

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 replace...

Full description

Bibliographic Details
Main Authors: Volodymyr Mykhailovych FITIO, Volodymyr Volodymyrovych ROMAKH, Yaroslav Vasylovych BOBITSKI
Format: Article
Language:English
Published: Kaunas University of Technology 2014-09-01
Series:Medžiagotyra
Subjects:
Online Access:http://matsc.ktu.lt/index.php/MatSc/article/view/4841
Description
Summary: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. <p>DOI: <a href="http://dx.doi.org/10.5755/j01.ms.20.3.4841">http://dx.doi.org/10.5755/j01.ms.20.3.4841</a></p>
ISSN:1392-1320
2029-7289