Presentation 2013-07-18
A Numerical Solution Using Sakurai-Sugiura Projection Method to the Transcendental Equation of a Multilayer Waveguide Dispersion Relation
Shingo SATO, Takao SHIMADA, Koji HASEGAWA,
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Abstract(in English) A transcendental equation occurs frequently to compute dispersion relations of an electromagnetic waveguide such as a planar multilayer waveguide. The problem of locating zeros of the transcendental equation can be solved by the Newton-Raphson method and the downhill simplex method with initial guess of locations and the number of the complex propagation constants. Without the initial guess, the Sakurai-Sugiura projection method (SSM) translates the transcendental equation into a linear matrix eigenvalue problem which gives all propagation constants in a region bounded by an integral path on a complex plane. In this paper, a transcendental equation of a multilayer waveguide dispersion relation obtained by the transfer matrix method is solved by SSM. Numerical results are compared with that of argument principle method (APM).
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Keyword(in English) Sakurai-Sugiura projection method / Multilayer waveguide / Dispersion relation / Transcendental equation / Transfer matrix method
Paper # MW2013-53,OPE2013-22,EST2013-17,MWP2013-12
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Committee EST
Conference Date 2013/7/11(1days)
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Registration To Electronic Simulation Technology (EST)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Numerical Solution Using Sakurai-Sugiura Projection Method to the Transcendental Equation of a Multilayer Waveguide Dispersion Relation
Sub Title (in English)
Keyword(1) Sakurai-Sugiura projection method
Keyword(2) Multilayer waveguide
Keyword(3) Dispersion relation
Keyword(4) Transcendental equation
Keyword(5) Transfer matrix method
1st Author's Name Shingo SATO
1st Author's Affiliation Graduate School of Engineering, Muroran Institute of Technology()
2nd Author's Name Takao SHIMADA
2nd Author's Affiliation Tsuyama National college of Thechnology
3rd Author's Name Koji HASEGAWA
3rd Author's Affiliation Graduate School of Engineering, Muroran Institute of Technology
Date 2013-07-18
Paper # MW2013-53,OPE2013-22,EST2013-17,MWP2013-12
Volume (vol) vol.113
Number (no) 143
Page pp.pp.-
#Pages 5
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