Numerical Method for Analysis of Waveguide Modes in Planar Gradient Waveguides

被引：9

作者：

Fitio, Volodymyr ^{[1
]}

Romakh, Volodymyr ^{[1
]}

Bobitski, Yaroslav ^{[1
,2
]}

机构：

[1] Lviv Polytech Natl Univ, Dept Photon, UA-79013 Lvov, Ukraine

[2] Univ Rzeszow, Inst Technol, PL-35959 Rzeszow, Poland

来源：

MATERIALS SCIENCE-MEDZIAGOTYRA | 2014年 / 20卷 / 03期

关键词：

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

D O I：

10.5755/j01.ms.20.3.4841

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：256 / 261

页数：6

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