A Memory-Efficient Formulation of the Unconditionally Stable FDTD Method for Solving Maxwell's Equations
An unconditionally stable finite-difference time-domain (FDTD) method based on the weighted Laguerre polynomials (WLP) for solving Maxwell's equations had been proposed. In this paper, a memory efficient modification to the proposed methodology is described. In this novel modification, the dive...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2007-12, Vol.55 (12), p.3729-3733 |
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| container_issue | 12 |
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| container_title | IEEE transactions on antennas and propagation |
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| creator | Yi, Yun Chen, Bin Sheng, Wei-Xing Pei, Yu-Ling |
| description | An unconditionally stable finite-difference time-domain (FDTD) method based on the weighted Laguerre polynomials (WLP) for solving Maxwell's equations had been proposed. In this paper, a memory efficient modification to the proposed methodology is described. In this novel modification, the divergence theorem is introduced in the WLP-FDTD method, in which Maxwell's divergence equation replaces one of the curl equations. This leads to a more memory-efficient matrix equation and a more rapid computational speed. A numerical example considering a two dimensional (2-D) TE case is present to validate the efficiency of the proposed algorithm. |
| doi_str_mv | 10.1109/TAP.2007.910499 |
| format | Article |
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In this paper, a memory efficient modification to the proposed methodology is described. In this novel modification, the divergence theorem is introduced in the WLP-FDTD method, in which Maxwell's divergence equation replaces one of the curl equations. This leads to a more memory-efficient matrix equation and a more rapid computational speed. 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| subjects | Algorithms Antennas Applied classical electromagnetism Differential equations Divergence Electromagnetic wave propagation, radiowave propagation Electromagnetism electron and ion optics Exact sciences and technology Finite difference method Finite difference methods Finite difference time domain method Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical model Mathematical models Maxwell equations Maxwell's equations Memory-efficient Physics Polynomials Scattering Sparse matrices Tellurium Time domain analysis Two dimensional displays unconditionally stable finite-difference time-domain weighted Laguerre polynomials |
| title | A Memory-Efficient Formulation of the Unconditionally Stable FDTD Method for Solving Maxwell's Equations |
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