Search of mode wavelengths in planar waveguides by using Fourier transform of wave equation

被引：2

作者：

Fitio, V. M. ^{[1
]}

Romakh, V. V. ^{[1
]}

Bobitski, Ya, V ^{[1
,2
]}

机构：

[1] Lviv Polytech Natl Univ, Dept Photon, 12 Bandery Str, UA-79013 Lvov, Ukraine

[2] Univ Rzeszow, Fac Math & Nat Sci, 1 Pigonia Str, PL-35959 Rzeszow, Poland

来源：

SEMICONDUCTOR PHYSICS QUANTUM ELECTRONICS & OPTOELECTRONICS | 2016年 / 19卷 / 01期

关键词：

Fourier transform; eigenvalues; permittivity; propagation constant; spatial frequency; wave equation;

D O I：

10.15407/spqeo19.01.028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The article describes a numerical method based on Fourier transform for studying propagating optical waves in dielectric planar waveguides. The inverse problem to the known direct one in waveguide investigation is proposed, namely a search of light wavelengths according to taken values of propagation constants. For each constant a set of wavelengths is obtained, among which an input value of wavelength from direct problem exists necessarily. A high accuracy of the method proposed is confirmed by exact values obtained by solution of transcendental dispersion equation. This method is tested on many examples, in particular, for waveguides of different permittivity profiles or for 1E and TM modes propagate there.

引用

页码：28 / 33

页数：6