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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 |
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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. |
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Abstract:
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Peer Reviewed |
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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 |
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Derechos:
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Tipo de documento:
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Artículo |
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Editor:
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IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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