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 Japanese) | (See Japanese page) |
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). |
Keyword(in Japanese) | (See Japanese page) |
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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Conference Information | |
Committee | EST |
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Conference Date | 2013/7/11(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Electronic Simulation Technology (EST) |
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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 |
Date of Issue |