Fast and efficient analysis of inset dielectric guide using Fourier transform technique with a modified perfectly matched boundary

Hongting Jia, K. Yasumoto, Kuniaki Yoshitomi

Research output: Contribution to journalArticle

Abstract

A fast and efficient method for analyzing an inset dielectric guide is presented using the Fourier transform technique with a modified perfectly matched boundary. In order to deal with an open region, a novel idea, modified perfectly matched boundary condition (PMB), has been proposed. By introducing the modified PMB, the numerical integral has been avoided and the accuracy of the numerical solution has been improved. Moreover, the singular behavior of the fields at metal edge is taken into account in the analysis. The numerical examples are shown that the convergence of the solution is very fast and the relative error less than 0.07% is attained even if only the first term is considered in the field expansion of the guide. The numerical results of the propagation constants for single- and double-layered inset dielectric guides agree well with those of literatures.

Original languageEnglish
Pages (from-to)1497-1498
Number of pages2
JournalJournal of Electromagnetic Waves and Applications
Volume15
Issue number11
Publication statusPublished - 2001

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Fourier transform
Fourier transforms
Boundary conditions
boundary conditions
Relative Error
Metals
Numerical Solution
Propagation
Numerical Examples
Numerical Results
expansion
propagation
Term
metals

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Physics and Astronomy (miscellaneous)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Fast and efficient analysis of inset dielectric guide using Fourier transform technique with a modified perfectly matched boundary",
abstract = "A fast and efficient method for analyzing an inset dielectric guide is presented using the Fourier transform technique with a modified perfectly matched boundary. In order to deal with an open region, a novel idea, modified perfectly matched boundary condition (PMB), has been proposed. By introducing the modified PMB, the numerical integral has been avoided and the accuracy of the numerical solution has been improved. Moreover, the singular behavior of the fields at metal edge is taken into account in the analysis. The numerical examples are shown that the convergence of the solution is very fast and the relative error less than 0.07{\%} is attained even if only the first term is considered in the field expansion of the guide. The numerical results of the propagation constants for single- and double-layered inset dielectric guides agree well with those of literatures.",
author = "Hongting Jia and K. Yasumoto and Kuniaki Yoshitomi",
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AU - Jia, Hongting

AU - Yasumoto, K.

AU - Yoshitomi, Kuniaki

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AB - A fast and efficient method for analyzing an inset dielectric guide is presented using the Fourier transform technique with a modified perfectly matched boundary. In order to deal with an open region, a novel idea, modified perfectly matched boundary condition (PMB), has been proposed. By introducing the modified PMB, the numerical integral has been avoided and the accuracy of the numerical solution has been improved. Moreover, the singular behavior of the fields at metal edge is taken into account in the analysis. The numerical examples are shown that the convergence of the solution is very fast and the relative error less than 0.07% is attained even if only the first term is considered in the field expansion of the guide. The numerical results of the propagation constants for single- and double-layered inset dielectric guides agree well with those of literatures.

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