Título:
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Integral formulation of the measured equation of invariance: a novel sparse matrix boundary element method
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Autor/a:
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Rius Casals, Juan Manuel; Pous Andrés, Rafael; Cardama Aznar, Ángel
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. ANTENNALAB - Grup d'Antenes i Sistemes Radio |
Abstract:
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A novel integral formulation of the measured equation of invariance method is derived from the reciprocity theorem and implemented for perfectly conducting (PEC) 2-D scattering problems. This formulation uses the electric and magnetic Green's functions of the environment to obtain a matrix equation for the induced surface current with the same number of unknowns as the conventional boundary element-method of moments (BE-MoM) approach. However, the matrix that must be inverted in the new formulation is sparse and circulant, with only three non-zero elements per row. Sample results for two-dimensional TM and TE problems with perfectly conducting scatterers show enormous CPU time and memory savings over the conventional BEM-MoM approach. The new formulation has important advantages over the original finite difference formulation of MEI, but also shares some of its limitations. |
Abstract:
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Peer Reviewed |
Materia(s):
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-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica -Electromagnetic waves -- Scattering -Numerical analysis -Boundary-elements methods of moments -Circulant matrix -CPU memory savings -CPU time savings -Electrical engineering computing -Electromagnetic wave scattering -Finite difference formulation -Green's function methods -Induced surface current -Integral equations -Integral formulation -Magnetic Green's function -Matrix equation -Matrix inversion -Measured equation of invariance -Method of moments -Perfectly conducting scatterers -Reciprocity theorem -Sparse matrix boundary element method -Two-dimensional TM problems -2D scattering problems -BE-MoM -Ones electromagnètiques -- Dispersió -Anàlisi numèrica |
Derechos:
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Tipo de documento:
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Artículo |
Editor:
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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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