The Method of Moments in Electromagnetics

By Walton C. Gibson. 2007

1,110 citations recorded by the source corpus.

PREFACE Computational Electromagnetics Computational Electromagnetics Algorithms A Brief Review of Electromagnetics Maxwell's Equations Electromagnetic Boundary Conditions Formulations for Radiation Vector Potentials Near and Far Fields Equivalent Problems Surface Integral Equations The Method of Moments Electrostatic Problems The Method of Moments Common Two-Dimensional Basis Functions Solution of Matrix Equations Thin Wires Thin Wire Approximation Thin Wire Excitations Solving Hallen's Equation Solving Pocklington's Equation Thin Wires of Arbitrary Shape Examples two-dimensional Problems Two-Dimensional EFIE Two-Dimensional MFIE Examples Bodies of Revolution BOR Surface Descriptions Surface Current Expansion on a BOR EFIE for a Conducting BOR MFIE for a Conducting BOR Notes on Software Implementation Examples three-dimensional Problems Representation of Three-Dimensional Surfaces Surface Currents on a Triangle EFIE for Three-Dimensional Conducting Surfaces MFIE for Three-Dimensional Conducting Surfaces Notes on Software Implementation Considerations for Modeling with Triangles Examples The Fast Multipole Method The Matrix-Vector Product Addition Theorem FMM Matrix Elements One-Level Fast Multipole Algorithm Multilevel Fast Multipole Algorithm Notes on Software Implementation Preconditioning Examples Integration One-Dimensional Integration Integration over Triangles INDEX References appear at the end of each chapter.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1898553faca6a78e8ea667f92a83b994fd341414

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Citations in the corpus

A review on array mutual coupling analysis (2011, methodology): “…equations, using the EFIE and MFIE (electric and magnetic field integral equations) and combinations thereof, we refer the reader to a number of classical papers and books [Rao and Wilton, 1990; Harrington, 1993; Peterson et al., 1998; Wilton, 2002; Gibson, 2008; Kolundzija and Djordjevic, 2002].”
Free space experimental scattering database continuation: experimental set-up and measurement precision (2005, methodology): “In the TM case, the forward problem is solved using the method of moments and domain integral formulations (Harrington 1987).”
A Nonlocal Operator Method for Partial Differential Equations with Application to Electromagnetic Waveguide Problem (2019, methodology): “(1d) can be imposed for example with the penalty method [Rahman and Davies (1984)], vector finite elements [Whitney (2012); Nédélec (1980); Hano (1984)] or specially designed shape functions as presented in [Evans and Hughes (2013)].”
Multilevel Fast Adaptive Cross-Approximation Algorithm With Characteristic Basis Functions (2015, methodology): “T HE METHOD of moments (MoM) [1], [2] has been commonly used in discretizing the integral equations to solve the electromagnetic scattering and radiation problems.”
Modeling of Grounding Electrodes Under Lightning Currents (2009, background): “The key step is the evaluation of the elements of the [Z] matrix in (12), which can be written in the following general form [36]:”
Aerosol light absorption and its measurement: A review (2009, methodology): “Surface-based methods such as the T-matrix method [155], the method of moments (MoM) [156], and the generalized multipole technique (GMT) [157] are applicable to homogeneous particles of arbitrary shape, relying on enforcing boundary conditions at the particle surface.”