The Method of Moments in Electromagnetics

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.

[1]  L. Gurel,et al.  Linear-Linear Basis Functions for MLFMA Solutions of Magnetic-Field and Combined-Field Integral Equations , 2007, IEEE Transactions on Antennas and Propagation.

[2]  Ozgur Ergul,et al.  Improving the accuracy of the magnetic field integral equation with the linear‐linear basis functions , 2006 .

[3]  Ozgur Ergul,et al.  The use of curl-conforming basis functions for the magnetic-field integral equation , 2006 .

[4]  Donald R. Wilton,et al.  Evaluation and integration of the thin wire kernel , 2006, IEEE Transactions on Antennas and Propagation.

[5]  L. Gurel,et al.  Singularity of the magnetic-field Integral equation and its extraction , 2005, IEEE Antennas and Wireless Propagation Letters.

[6]  L. Gurel,et al.  Solid-angle factor in the magnetic-field integral equation , 2005 .

[7]  Juan M. Rius,et al.  MFIE MoM‐formulation with curl‐conforming basis functions and accurate kernel integration in the analysis of perfectly conducting sharp‐edged objects , 2005 .

[8]  L. Gurel,et al.  Improving the accuracy of the MFIE with the choice of basis functions , 2004, IEEE Antennas and Propagation Society Symposium, 2004..

[9]  L. Gurel,et al.  Investigation of the inaccuracy of the MFIE discretized with the RWG basis functions , 2004, IEEE Antennas and Propagation Society Symposium, 2004..

[10]  Juan Manuel Rius Casals,et al.  On the testing of the magnetic field integral equation with RWG basis functions in method of moments , 2001 .

[11]  Jian-Ming Jin,et al.  Fast and Efficient Algorithms in Computational Electromagnetics , 2001 .

[12]  Nicholas V. Shuley,et al.  Triangular-patch model of bowtie antennas: validation against Brown and Woodward , 1998 .

[13]  A. C. Woo,et al.  Benchmark radar targets for the validation of computational electromagnetics programs , 1993 .

[14]  W.-X. Wang,et al.  The exact kernel for cylindrical antenna , 1991 .

[15]  W. Curtis,et al.  Spiral antennas , 1960 .

[16]  H. B. Dwight,et al.  Tables of Integrals and Other Mathematical Data , 1934 .

[17]  Yahya Rahmat-Samii,et al.  The evaluation of MFIE integrals with the use of vector triangle basis functions , 1997 .

[18]  R.W.P. King,et al.  The linear antenna—Eighty years of prograss , 1967 .

[19]  E. Hallén Theoretical investigations into the transmitting and receiving qualities of antennáe , 1938 .