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 |
Copyright and reproduction |
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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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) |
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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 |
4 |
Date of Issue |
2022-07-12 (EMT, MW, OPE, EST, MWPTHz) |
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