Numerical Dispersion Analysis of the One-Dimensional Iterated Crank-Nicolson-Based FDTD Method
Numerical dispersion property is investigated for the finite-difference time-domain (FDTD) method based on the iterated Crank-Nicolson (ICN) scheme. The numerical dispersion relation is newly derived from the amplification matrix and its property is discussed with attention to the eigenvalue of the...
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| Veröffentlicht in: | IEICE Transactions on Electronics 2024/11/01, Vol.E107.C(11), pp.494-496 |
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| container_title | IEICE Transactions on Electronics |
| container_volume | E107.C |
| creator | KAWAHARA, Akira SHIBAYAMA, Jun FUJITA, Kazuhiro YAMAUCHI, Junji NAKANO, Hisamatsu |
| description | Numerical dispersion property is investigated for the finite-difference time-domain (FDTD) method based on the iterated Crank-Nicolson (ICN) scheme. The numerical dispersion relation is newly derived from the amplification matrix and its property is discussed with attention to the eigenvalue of the matrix. It is shown that the ICN-FDTD method is conditionally stable but slightly dissipative. |
| doi_str_mv | 10.1587/transele.2023ESS0004 |
| format | Article |
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Electron.</addtitle><description>Numerical dispersion property is investigated for the finite-difference time-domain (FDTD) method based on the iterated Crank-Nicolson (ICN) scheme. The numerical dispersion relation is newly derived from the amplification matrix and its property is discussed with attention to the eigenvalue of the matrix. It is shown that the ICN-FDTD method is conditionally stable but slightly dissipative.</description><subject>amplification matrix</subject><subject>Crank-Nicholson method</subject><subject>Dimensional analysis</subject><subject>eigenvalue</subject><subject>Eigenvalues</subject><subject>FDTD</subject><subject>Finite difference time domain method</subject><subject>ICN</subject><subject>numerical dispersion</subject><issn>0916-8524</issn><issn>1745-1353</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNpNkE9PwkAQxTdGExH9Bh6aeK7udHf754gtKAnCAby6GbZTKZYWd8uBb28JQjjNZOb33kweY4_An0HF0UtrsXZU0XPAAzGczznn8or1IJLKB6HENevxBEI_VoG8ZXfOrTmHOADRY1_T3YZsabDystJtybqyqb1BjdXelc5rCq9dkTeryc_KDdWHbYeOW7LYUu6l3eUff1qapnJN7b-i64ajbJF5H9Sumvye3RRYOXr4r332ORou0nd_Mnsbp4OJbwTE0g8DEWGCgVEigQKkQkGYgwEMiwiWiMgxUkksQiVjimUhjCSTL2NBeaQQRJ89HX23tvndkWv1utnZ7lWnBUipAq6E6Ch5pIxtnLNU6K0tN2j3Grg-JKlPSeqLJDvZ_Chbuxa_6SxC25amY8-iIfBIpxrg1F24nGmzQqupFn-sLYY6</recordid><startdate>20241101</startdate><enddate>20241101</enddate><creator>KAWAHARA, Akira</creator><creator>SHIBAYAMA, Jun</creator><creator>FUJITA, Kazuhiro</creator><creator>YAMAUCHI, Junji</creator><creator>NAKANO, Hisamatsu</creator><general>The Institute of Electronics, Information and Communication Engineers</general><general>Japan Science and Technology Agency</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20241101</creationdate><title>Numerical Dispersion Analysis of the One-Dimensional Iterated Crank-Nicolson-Based FDTD Method</title><author>KAWAHARA, Akira ; SHIBAYAMA, Jun ; FUJITA, Kazuhiro ; YAMAUCHI, Junji ; NAKANO, Hisamatsu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3184-6237a9a2c5391f145a3ead1c1a6f71baaa0a759836548e84f3c4ecdb83ed75a13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>amplification matrix</topic><topic>Crank-Nicholson method</topic><topic>Dimensional analysis</topic><topic>eigenvalue</topic><topic>Eigenvalues</topic><topic>FDTD</topic><topic>Finite difference time domain method</topic><topic>ICN</topic><topic>numerical dispersion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>KAWAHARA, Akira</creatorcontrib><creatorcontrib>SHIBAYAMA, Jun</creatorcontrib><creatorcontrib>FUJITA, Kazuhiro</creatorcontrib><creatorcontrib>YAMAUCHI, Junji</creatorcontrib><creatorcontrib>NAKANO, Hisamatsu</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEICE Transactions on Electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>KAWAHARA, Akira</au><au>SHIBAYAMA, Jun</au><au>FUJITA, Kazuhiro</au><au>YAMAUCHI, Junji</au><au>NAKANO, Hisamatsu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical Dispersion Analysis of the One-Dimensional Iterated Crank-Nicolson-Based FDTD Method</atitle><jtitle>IEICE Transactions on Electronics</jtitle><addtitle>IEICE Trans. Electron.</addtitle><date>2024-11-01</date><risdate>2024</risdate><volume>E107.C</volume><issue>11</issue><spage>494</spage><epage>496</epage><pages>494-496</pages><artnum>2023ESS0004</artnum><issn>0916-8524</issn><eissn>1745-1353</eissn><abstract>Numerical dispersion property is investigated for the finite-difference time-domain (FDTD) method based on the iterated Crank-Nicolson (ICN) scheme. The numerical dispersion relation is newly derived from the amplification matrix and its property is discussed with attention to the eigenvalue of the matrix. It is shown that the ICN-FDTD method is conditionally stable but slightly dissipative.</abstract><cop>Tokyo</cop><pub>The Institute of Electronics, Information and Communication Engineers</pub><doi>10.1587/transele.2023ESS0004</doi><tpages>3</tpages><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| subjects | amplification matrix Crank-Nicholson method Dimensional analysis eigenvalue Eigenvalues FDTD Finite difference time domain method ICN numerical dispersion |
| title | Numerical Dispersion Analysis of the One-Dimensional Iterated Crank-Nicolson-Based FDTD Method |
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