The Method of Moments in Electromagnetics

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Contentsv4.6.5 Matching a Yagi Antenna 89References 94Chapter 5 Two-Dimensional Problems 955.1 Two-Dimensional EFIE 955.1.1 EFIE for a Strip: TM Polarization 955.1.2 Generalized EFIE: TM Polarization 1005.1.3 EFIE for a Strip: TE Polariation 1025.1.4 Generalized EFIE: TE Polarization 1075.2 Two-Dimensional MFIE 1095.2.1 MFIE: TM Polarization 1095.2.2 MFIE: TE Polarization 1115.3 Examples 1135.3.1 Scattering by an Infinite Cylinder: TM Polarization 1135.3.2 Scattering by an Infinite Cylinder: TE Polarization 115References 124Chapter 6 Bodies of Revolution 1256.1 BOR Surface Description 1256.2 Surface Current Expansion on a BOR 1266.3 EFIE for a Conducting BOR 1276.3.1 EFIE Matrix Elements 1276.3.2 Excitation 1306.3.3 Scattered Field 1346.4 MFIE for a Conducting BOR 1366.4.1 MFIE Matrix Elements 1376.4.2 Excitation 1406.4.3 Scattered Field 1416.5 Notes on Software Implementation 1416.5.1 Parallelization 1416.5.2 Convergence 1426.6 Examples 1426.6.1 Galaxy 1426.6.2 Conducting Sphere 1426.6.3 EMCC Benchmark Targets 1456.6.4 Biconic Reentry Vehicle 1526.6.5 Summary of Examples 159References 159Chapter 7 Three-Dimensional Problems 1617.1 Representation of Three-Dimensional Surfaces 1617.2 Surface Currents on a Triangle 1647.2.1 Edge Finding Algorithm 1657.3 EFIE for Three-Dimensional Conducting Surfaces 1677.3.1 EFIE Matrix Elements 167
viContents7.3.2 Singular Matrix Element Evaluation 1687.3.3 EFIE Excitation Vector Elements 1767.3.4 Radiated Field 1787.4 MFIE for Three-Dimensional Conducting Surfaces 1797.4.1 MFIE Matrix Elements 1797.4.2 MFIE Excitation Vector Elements 1847.4.3 Radiated Field 1847.4.4 Accuracy of RWG Functions in MFIE 1847.5 Notes on Software Implementation 1857.5.1 Memory Management 1857.5.2 Parallelization 1857.6 Considerations for Modeling with Triangles 1877.6.1 Triangle Aspect Ratios 1877.6.2 Watertight Meshes and T-Junctions 1887.7 Examples 1887.7.1 Serenity 1897.7.2 RCS of a Sphere 1897.7.3 EMCC Plate Benchmark Targets 1897.7.4 Strip Dipole Antenna 1987.7.5 Bowtie Antenna 1997.7.6 Archimedean Spiral Antenna 2017.7.7 Summary of Examples 204References 205Chapter 8 The Fast Multipole Method 2098.1 The Matrix-Vector Product 2108.2 Addition Theorem 2108.2.1 Wave Translation 2128.3 FMM Matrix Elements 2138.3.1 EFIE Matrix Elements 2138.3.2 MFIE Matrix Elements 2148.3.3 CFIE Matrix Elements 2158.3.4 Matrix Transpose 2158.4 One-Level Fast Multipole Algorithm 2158.4.1 Grouping of Basis Functions 2158.4.2 Near and Far Groups 2168.4.3 Number of Multipoles 2168.4.4 Sampling Rates and Integration 2188.4.5 Transfer Functions 2198.4.6 Radiation and Receive Functions 2208.4.7 Near-Matrix Elements 2208.4.8 Matrix-Vector Product 2218.4.9 Computational Complexity 2228.5 Multi-Level Fast Multipole Algorithm (MLFMA) 2228.5.1 Grouping via Octree 222
Page 2 and 3: The Methodof Moments inElectromagne
Page 4 and 5: ContentsPrefaceAcknowledgmentsAbout
Page 8: Contentsvii8.5.2 Matrix-Vector Prod
Page 11 and 12: xPreface3. A focus on radiation and
Page 14: AcknowledgmentsThis book is a resul
Page 18 and 19: Chapter 1Computational Electromagne
Page 20 and 21: Computational Electromagnetics 3sec
Page 22 and 23: Chapter 2A Brief Review of Electrom
Page 24 and 25: A Brief Review of Electromagnetics
Page 44: A Brief Review of Electromagnetics
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40 The Method of Moments in Electro
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The Method of Moments 55Initial ste
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Chapter 7Three-Dimensional Problems
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Three-Dimensional Problems 163(a) S
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Three-Dimensional Problems 165to, a
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Three-Dimensional Problems 167packa
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Three-Dimensional Problems 169where
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Three-Dimensional Problems 171that
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Three-Dimensional Problems 173can b
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Three-Dimensional Problems 175inacc
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Three-Dimensional Problems 177Edge
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Three-Dimensional Problems 1797.3.4
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Three-Dimensional Problems 181OrR n
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Three-Dimensional Problems 183Ampli
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Three-Dimensional Problems 185Objec
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Three-Dimensional Problems 1877.6 C
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Three-Dimensional Problems 1897.7.1
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Three-Dimensional Problems 1913020R
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Three-Dimensional Problems 1932.510
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Three-Dimensional Problems 1950−5
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Three-Dimensional Problems 19750−
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Three-Dimensional Problems 199ABowt
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Three-Dimensional Problems 201terms
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Three-Dimensional Problems 203Input
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Three-Dimensional Problems 205is th
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Three-Dimensional Problems 207[25]
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Chapter 9IntegrationThroughout this
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Integration 257Summing (9.4) across
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Integration 259x 1=a x 2x 3x 4x 5x
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Integration 261(0,1,0)v 3A 1A 3A 2v
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Integration 263or ½ ½ «Á ¾ ×
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Integration 265withÁ Ì ´r×·r
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Integration 267When s is normal to
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Integration 269Table 9.2: Four-Poin
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IndexAntennasArchimedean spiral, 53
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The Method of Moments in Electromagnetics

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