Discretization of the CFS-PML for computational electromagnetics using discrete differential forms
| Autor: | Elson J. Silva, Rodiney R. Saldanha, Adriano C. Lisboa, Mario F. Pantoja, Alex S. Moura, Werley G. Facco |
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| Rok vydání: | 2012 |
| Předmět: |
Curl (mathematics)
Mathematical optimization Discretization Differential form Incidence matrix Condensed Matter Physics Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials Electromagnetism Computational electromagnetics Applied mathematics Time domain Electrical and Electronic Engineering Galerkin method Mathematics |
| Zdroj: | Microwave and Optical Technology Letters. 55:351-357 |
| ISSN: | 0895-2477 |
| DOI: | 10.1002/mop.27298 |
| Popis: | A new numerical discretization of the complex frequency shifted-perfectly matched layer (CFS-PML) is presented for truncation of open domains. This discretization is based on the theory of discrete differential forms applied to electromagnetism, which guarantees both the simplification of the algorithms and a more elegant formulation of expression. The curl Maxwell's equations are solved in time domain in terms of electric e magnetic fields. The Ampere-Maxwell law with, the constitutive relations included through the Hodge operator, is discretized in space by applying the Galerkin method. Conversely, the Faraday law is represented by topological relations via incidence matrix. The time domain discretization uses the leap-frog scheme with a recursive convolution inside PML region. Two examples are shown, the first one to validate the CFS-PML procedure and the second one to solve a typical ground penetrating radar scenario which include a lossy media. © 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 55:351–357, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.27298 |
| Databáze: | OpenAIRE |
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