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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v73.i12.20
pages 1041-1052

APPLICATION OF THE FOURIER TRANSFORM FOR SEARCHING LOCALIZED MODES OF PLANAR GRADIENT WAVEGUIDES

V. M. Fitio
Lviv Polytechnic National University 12 Stepan Bandera Str, Lviv, 79013, Ukraine
V. V. Romakh
National University "Lviv politechnika" 12, S. Bandera St., Lviv 79013, Ukraine
Ya. W. Bobitski
Lviv Polytechnic National University, Ukraine; and Institute of Technology, University of Rzeszow, Poland

RÉSUMÉ

The planar waveguides are important component for construction of various integrated optical devices. At present, the scientific literature presents a number of analytical methods for analyzing planar gradient waveguides, which however embrace only certain kind of such structures. In this study a numerical method is developed for determining the propagation constants and their corresponding field patterns of the planar waveguide modes. The method is based on the Fourier transform of the wave equation. The technique is validated by way of numerous examples. Also, the influence of the numerical process parameters on the propagation constant magnitudes is investigated. In the course of the study a numerical stability and high calculation accuracy have been provided which confirms the efficiency of the suggested method. The results of the study are expected to be used for the design of semiconductor lasers.


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