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Paper Abstract and Keywords
Presentation 2021-10-08 11:35
Development of the explicit FDTD method using the iterated Crank-Nicolson scheme
Jun Shibayama, Tomomasa Nishio, Junji Yamauchi, Hisamatsu Nakano (Hosei Univ.) EMCJ2021-46 MW2021-58 EST2021-48
Abstract (in Japanese) (See Japanese page) 
(in English) The implicit finite-difference time-domain (FDTD) method has been developed using the Crank-Nicolson (CN) scheme, which provides highly accurate calculations. Note, however, that a large sparse matrix needs to be solved. This makes the FDTD calculation inefficient. In this article, we introduce an iterated Crank-Nicolson (ICN) scheme, which has been widely used in the area of computational relativity, into the FDTD method. In the ICN scheme, an implicit CN procedure can be replaced with an explicit iteration process. The formulation of the ICN-FDTD method is performed and the stability condition is derived. We analyze an optical waveguide, the facet of which is high-reflection coated with alternating dielectric layers. It is found that the results obtained from the ICN-FDTD method agree well with those from the traditional explicit FDTD method.
Keyword (in Japanese) (See Japanese page) 
(in English) Crank-Nicolson (CN) scheme / Iterated Crank-Nicolson (ICN) scheme / Finite-difference time-domain (FDTD) method / / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 188, EST2021-48, pp. 92-95, Oct. 2021.
Paper # EST2021-48 
Date of Issue 2021-09-30 (EMCJ, MW, EST) 
ISSN Online edition: ISSN 2432-6380
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)
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Conference Information
Conference Date 2021-10-07 - 2021-10-08 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To EST 
Conference Code 2021-10-EST-MW-EMCJ-EMC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Development of the explicit FDTD method using the iterated Crank-Nicolson scheme 
Sub Title (in English)  
Keyword(1) Crank-Nicolson (CN) scheme  
Keyword(2) Iterated Crank-Nicolson (ICN) scheme  
Keyword(3) Finite-difference time-domain (FDTD) method  
1st Author's Name Jun Shibayama  
1st Author's Affiliation Hosei University (Hosei Univ.)
2nd Author's Name Tomomasa Nishio  
2nd Author's Affiliation Hosei University (Hosei Univ.)
3rd Author's Name Junji Yamauchi  
3rd Author's Affiliation Hosei University (Hosei Univ.)
4th Author's Name Hisamatsu Nakano  
4th Author's Affiliation Hosei University (Hosei Univ.)
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Speaker Author-2 
Date Time 2021-10-08 11:35:00 
Presentation Time 25 minutes 
Registration for EST 
Paper # EMCJ2021-46, MW2021-58, EST2021-48 
Volume (vol) vol.121 
Number (no) no.186(EMCJ), no.187(MW), no.188(EST) 
Page pp.92-95 
Date of Issue 2021-09-30 (EMCJ, MW, EST) 

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