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Paper Abstract and Keywords
Presentation 2022-07-20 11:15
Stability of the iterated Crank-Nicolson FDTD method
Akira Kawahara, Tomomasa Nishio, Jun Shibayama, Junji Yamauchi, Hisamatsu Nakano (Hosei Univ.) EMT2022-36 MW2022-60 OPE2022-39 EST2022-37 MWPTHz2022-34
Abstract (in Japanese) (See Japanese page) 
(in English) We discuss the stability of the FDTD method based on the iterated Crank-Nicolson (ICN) scheme. First, we review the stability of the ICN scheme for the advection equation. It is confirmed that zero and one iterations result in an unconditionally unstable scheme, while two and three iterations lead to a stable one. Next, we formulate the ICN-FDTD method, in which the formulae for the zero, one, and two iterations are presented. Finally, we analyze an optical waveguide with high-reflection coatings. It is shown that the ICN-FDTD method with zero and one iterations results in field blow up as the calculation proceeds, while the result of two iterations shows a stable calculation even when using the maximum time step size determined from the Courant-Friedrichs-Lewy condition. This is consistent with the results of the previous work where the advection equation is analyzed.
Keyword (in Japanese) (See Japanese page) 
(in English) Iterated Crank-Nicolson (ICN) scheme / Courant-Friedrichs-Lewy (CFL) condition / FDTD method / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 120, EST2022-37, pp. 137-140, July 2022.
Paper # EST2022-37 
Date of Issue 2022-07-12 (EMT, MW, OPE, EST, MWPTHz) 
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 EMT2022-36 MW2022-60 OPE2022-39 EST2022-37 MWPTHz2022-34

Conference Information
Committee MWPTHz EST MW EMT OPE IEE-EMT  
Conference Date 2022-07-19 - 2022-07-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Asahikawa Civic Culture Hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Workshop on Optical and Microwave technologies 
Paper Information
Registration To EST 
Conference Code 2022-07-MWPTHz-EST-MW-EMT-OPE-EMT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Stability of the iterated Crank-Nicolson FDTD method 
Sub Title (in English)  
Keyword(1) Iterated Crank-Nicolson (ICN) scheme  
Keyword(2) Courant-Friedrichs-Lewy (CFL) condition  
Keyword(3) FDTD method  
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1st Author's Name Akira Kawahara  
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 Jun Shibayama  
3rd Author's Affiliation Hosei University (Hosei Univ.)
4th Author's Name Junji Yamauchi  
4th Author's Affiliation Hosei University (Hosei Univ.)
5th Author's Name Hisamatsu Nakano  
5th Author's Affiliation Hosei University (Hosei Univ.)
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Speaker Author-1 
Date Time 2022-07-20 11:15:00 
Presentation Time 25 minutes 
Registration for EST 
Paper # EMT2022-36, MW2022-60, OPE2022-39, EST2022-37, MWPTHz2022-34 
Volume (vol) vol.122 
Number (no) no.117(EMT), no.118(MW), no.119(OPE), no.120(EST), no.121(MWPTHz) 
Page pp.137-140 
#Pages
Date of Issue 2022-07-12 (EMT, MW, OPE, EST, MWPTHz) 


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