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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