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Paper Abstract and Keywords
Presentation 2022-01-27 09:30
Numerical method for scattering by multiple plane gratings using shadow theory
Hideaki Wakabayashi (Okayama Pref. Univ.), Masamitsu Asai (Kindai Univ.), Jiro Yamakita (Okayama Pref. Univ.) PN2021-32 EMT2021-48 MWP2021-37
Abstract (in Japanese) (See Japanese page) 
(in English) In the shadow theory, electromagnetic fields are expressed by using the scattering factors.
We have proposed two applications of scattering factors. One is that the spectral-domain Green's functions are introduced directly using the scattering factors. The other is that the numerical accuracy is evaluated using scattering factors for a multilayered dielectric grating. In this paper, we formulate the matrix eigenvalues method using shadow theory and obtain scattering factors and Joule losses using Galerkin method. We calculate for an asymmetric multiple plane grating consisting of strip conductors and show that in the low grazing limit of incidence, the secondary fields of all orders and Joule losses in each grating approach zero. In addition, we demonstrate that the scattering factors have even symmetries for reflection and reflective symmetries for transmission. We conclude that the reciprocity holds for all complex incident angles including evanescent waves in the case of resistive plane gratings.
Keyword (in Japanese) (See Japanese page) 
(in English) multiple plane grating / low grazing limit / matrix eigenvalues method / shadow theory / scattering factor / Galerkin method / Joule loss / reciprocity  
Reference Info. IEICE Tech. Rep., vol. 121, no. 351, EMT2021-48, pp. 1-6, Jan. 2022.
Paper # EMT2021-48 
Date of Issue 2022-01-20 (PN, EMT, MWP) 
ISSN Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF PN2021-32 EMT2021-48 MWP2021-37

Conference Information
Committee PN MWP EMT PEM IEE-EMT  
Conference Date 2022-01-27 - 2022-01-28 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To EMT 
Conference Code 2022-01-PN-MWP-EMT-PEM-EMT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Numerical method for scattering by multiple plane gratings using shadow theory 
Sub Title (in English)  
Keyword(1) multiple plane grating  
Keyword(2) low grazing limit  
Keyword(3) matrix eigenvalues method  
Keyword(4) shadow theory  
Keyword(5) scattering factor  
Keyword(6) Galerkin method  
Keyword(7) Joule loss  
Keyword(8) reciprocity  
1st Author's Name Hideaki Wakabayashi  
1st Author's Affiliation Okayama Prefectual University (Okayama Pref. Univ.)
2nd Author's Name Masamitsu Asai  
2nd Author's Affiliation Kindai University (Kindai Univ.)
3rd Author's Name Jiro Yamakita  
3rd Author's Affiliation Okayama Prefectual University (Okayama Pref. Univ.)
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Speaker Author-1 
Date Time 2022-01-27 09:30:00 
Presentation Time 25 minutes 
Registration for EMT 
Paper # PN2021-32, EMT2021-48, MWP2021-37 
Volume (vol) vol.121 
Number (no) no.350(PN), no.351(EMT), no.352(MWP) 
Page pp.1-6 
#Pages
Date of Issue 2022-01-20 (PN, EMT, MWP) 


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