Birefringent dispersive FDTD subgridding scheme
A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making μ or ε inside the subgrid dispersive, unconditional stability is induced at the cost of a sparse, implicit set of update equations. By only adding dispersio...
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| Published in | Electronics letters Vol. 52; no. 17; pp. 1455 - 1457 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
The Institution of Engineering and Technology
18.08.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0013-5194 1350-911X 1350-911X |
| DOI | 10.1049/el.2016.1709 |
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| Abstract | A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making μ or ε inside the subgrid dispersive, unconditional stability is induced at the cost of a sparse, implicit set of update equations. By only adding dispersion along preferential directions, it is possible to dramatically reduce the rank of the matrix equation that needs to be solved. |
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| AbstractList | A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making μ or ε inside the subgrid dispersive, unconditional stability is induced at the cost of a sparse, implicit set of update equations. By only adding dispersion along preferential directions, it is possible to dramatically reduce the rank of the matrix equation that needs to be solved. A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making mu or epsilon inside the subgrid dispersive, unconditional stability is induced at the cost of a sparse, implicit set of update equations. By only adding dispersion along preferential directions, it is possible to dramatically reduce the rank of the matrix equation that needs to be solved. |
| Author | De Zutter, D Van Londersele, A De Deckere, B Vande Ginste, D |
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| Cites_doi | 10.1109/TAP.1966.1138693 10.1109/TAP.2006.886519 10.1109/8.558655 10.1049/el:20030416 |
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| Copyright | The Institution of Engineering and Technology 2020 The Institution of Engineering and Technology |
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| Keywords | coarse grid dispersion relations update equation birefringent dispersive FDTD subgridding scheme Courant limit birefringence matrix equation finite difference time-domain analysis finite-difference time-domain matrix algebra |
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| References | Weedon, W.H.; Rappaport, C.M. (C3) 1997; 45 Yee, K.S. (C1) 1966; 14 Bérénger, J.P. (C2) 2006; 54 Sun, G.; Trueman, C.W. (C4) 2003; 39 2006; 54 2003; 39 1966; 14 1997; 45 e_1_2_8_3_1 e_1_2_8_2_1 e_1_2_8_5_1 e_1_2_8_4_1 |
| References_xml | – volume: 14 start-page: 302 year: 1966 end-page: 307 ident: C1 article-title: Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media publication-title: Trans. Antennas Propag. – volume: 45 start-page: 401 year: 1997 end-page: 410 ident: C3 article-title: A general method for FDTD modeling of wave propagation in arbitrary frequency-dispersive media publication-title: Trans. Antennas Propag. – volume: 54 start-page: 3797 year: 2006 end-page: 3804 ident: C2 article-title: A Huygens subgridding for the FDTD method publication-title: Trans. Antennas Propag. – volume: 39 start-page: 595 year: 2003 end-page: 597 ident: C4 article-title: Unconditionally stable Crank-Nicolson scheme for solving two-dimensional Maxwell's equations publication-title: Electron. Lett. – volume: 54 start-page: 3797 year: 2006 end-page: 3804 article-title: A Huygens subgridding for the FDTD method publication-title: Trans. Antennas Propag. – volume: 45 start-page: 401 year: 1997 end-page: 410 article-title: A general method for FDTD modeling of wave propagation in arbitrary frequency‐dispersive media publication-title: Trans. Antennas Propag. – volume: 39 start-page: 595 year: 2003 end-page: 597 article-title: Unconditionally stable Crank‐Nicolson scheme for solving two‐dimensional Maxwell's equations publication-title: Electron. Lett. – volume: 14 start-page: 302 year: 1966 end-page: 307 article-title: Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media publication-title: Trans. Antennas Propag. – ident: e_1_2_8_2_1 doi: 10.1109/TAP.1966.1138693 – ident: e_1_2_8_3_1 doi: 10.1109/TAP.2006.886519 – ident: e_1_2_8_4_1 doi: 10.1109/8.558655 – ident: e_1_2_8_5_1 doi: 10.1049/el:20030416 |
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| Snippet | A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making μ or ε inside... A novel 2D finite difference time domain (FDTD) subgridding method is proposed, only subject to the Courant limit of the coarse grid. By making mu or epsilon... |
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| SubjectTerms | birefringence birefringent dispersive FDTD subgridding scheme coarse grid Coarsening Courant limit Dispersion dispersion relations Electronics Finite difference time domain method finite difference time‐domain analysis finite‐difference time‐domain Information and communications Mathematical analysis matrix algebra matrix equation Stability Two dimensional update equation |
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| Title | Birefringent dispersive FDTD subgridding scheme |
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