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Discretization of the CFS‐PML for computational electromagnetics using discrete differential forms
Author(s) -
Moura Alex. S.,
Saldanha Rodiney R.,
Silva Elson J.,
Pantoja Mario F.,
Lisboa Adriano C.,
Facco Werley G.
Publication year - 2013
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.27298
Subject(s) - discretization , mathematics , faraday cage , mathematical analysis , electromagnetics , perfectly matched layer , electromagnetism , maxwell's equations , galerkin method , finite element method , physics , magnetic field , boundary value problem , quantum mechanics , engineering physics , thermodynamics
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