The Method of Moments in Electromagnetics

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Contentsvii8.5.2 Matrix-Vector Product 2238.5.3 Interpolation Algorithms 2278.5.4 Transfer Functions 2298.5.5 Radiation and Receive Functions 2308.5.6 Interpolation Steps in MLFMA 2308.5.7 Computational Complexity 2318.6 Notes on Software Implementation 2318.6.1 Initial Guess in Iterative Solution 2318.6.2 Memory Management 2328.6.3 Parallelization 2348.6.4 Vectorization 2348.7 Preconditioning 2358.7.1 Diagonal Preconditioner 2358.7.2 Block Diagonal Preconditioner 2368.7.3 Inverse LU Preconditioner 2368.7.4 Sparse Approximate Inverse 2378.8 Examples 2408.8.1 Bistatic RCS of a Sphere 2408.8.2 EMCC Benchmark Targets 2408.8.3 Summary of Examples 245References 252Chapter 9 Integration 2559.1 One-Dimensional Integration 2559.1.1 Centroidal Approximation 2559.1.2 Trapezoidal Rule 2569.1.3 Simpson’s Rule 2589.1.4 One-Dimensional Gaussian Quadrature 2599.2 Integration over Triangles 2609.2.1 Simplex Coordinates 2609.2.2 Radiation Integrals with a Constant Source 2629.2.3 Radiation Integrals with a Linear Source 2659.2.4 Gaussian Quadrature on Triangles 267References 269Index 271
Page 2 and 3: The Methodof Moments inElectromagne
Page 4 and 5: ContentsPrefaceAcknowledgmentsAbout
Page 6 and 7: Contentsv4.6.5 Matching a Yagi Ante
Page 10 and 11: PrefaceThe method of moments for el
Page 12: PrefacexiChapter 7 covers three-dim
Page 16: About the AuthorWalton C. Gibson wa
Page 19 and 20: 2 The Method of Moments in Electrom
Page 27 and 28: 10 The Method of Moments in Electro
Page 46 and 47: A Brief Review of Electromagnetics
Page 48: A Brief Review of Electromagnetics
Page 52 and 53: The Method of Moments 35Using the a
Page 54 and 55: The Method of Moments 37Charge Dens
Page 56 and 57: The Method of Moments 39realistic s
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The Method of Moments 41(a) 225 Pat
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The Method of Moments 433.2 THE MET
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The Method of Moments 453.3 COMMON
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The Method of Moments 47a 1f 1(x)a
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54 The Method of Moments in Electro
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The Method of Moments 57Initial ste
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The Method of Moments 59Residual No
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The Method of Moments 61REFERENCES[
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Chapter 4Thin WiresIn this chapter
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Thin Wires 65There are two common f
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Thin Wires 67300Electric Field (V/m
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Thin Wires 69Substituting the origi
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Thin Wires 71which evaluates to [9]
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Thin Wires 734.4.1 Solution by Puls
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Thin Wires 75we can write the above
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Thin Wires 77The integral involving
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Thin Wires 79the load(s) exists. Gi
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Thin Wires 81Input Resistance (Ohms
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Thin Wires 83for this case, and fai
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Thin Wires 85Induced Current (mA)32
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Thin Wires 87sL(a) Dipole Dimension
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Thin Wires 891000800ComputedEquatio
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Thin Wires 9135Input Resistance (Oh
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Thin Wires 93Front to back Ratio (d
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Chapter 5Two-Dimensional ProblemsNo
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Two-Dimensional Problems 975.1.1.1
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Two-Dimensional Problems 99Note tha
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Two-Dimensional Problems 1014035EFI
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Two-Dimensional Problems 103andwher
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Two-Dimensional Problems 105The sca
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Two-Dimensional Problems 107where w
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Two-Dimensional Problems 109element
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Two-Dimensional Problems 111y^ iE i
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Two-Dimensional Problems 1135.3 EXA
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Two-Dimensional Problems 115The fir
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Two-Dimensional Problems 11776EFIE
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Two-Dimensional Problems 11976MFIE
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Two-Dimensional Problems 12176EFIE
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Two-Dimensional Problems 12376MFIE
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Chapter 6Bodies of RevolutionIn thi
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Bodies of Revolution 127triangle fu
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Bodies of Revolution 129where the i
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Bodies of Revolution 131The above c
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Bodies of Revolution 133and ØÑ
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Bodies of Revolution 135where we ha
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Bodies of Revolution 137Testing the
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Bodies of Revolution 139Þ ØÑÒ
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Bodies of Revolution 141Using the p
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Bodies of Revolution 143where½ Ë
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Bodies of Revolution 145transmitted
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Bodies of Revolution 1474030CFIEMie
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Bodies of Revolution 1496.6.3.1 EMC
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Bodies of Revolution 151−10−20B
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Bodies of Revolution 153100BOR/CFIE
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Bodies of Revolution 155(a) Biconic
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Bodies of Revolution 157(a) Vertica
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Bodies of Revolution 159Table 6.1:
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162 The Method of Moments in Electr
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Chapter 8The Fast Multipole MethodI
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The Fast Multipole Method 211rbAar
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The Fast Multipole Method 213This i
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The Fast Multipole Method 215and th
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The Fast Multipole Method 217r ab(a
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The Fast Multipole Method 219functi
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The Fast Multipole Method 221elemen
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The Fast Multipole Method 223(a) Oc
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The Fast Multipole Method 225Far no
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The Fast Multipole Method 227(8.55)
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The Fast Multipole Method 2298.5.3.
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The Fast Multipole Method 2318.5.6.
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The Fast Multipole Method 23310080z
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The Fast Multipole Method 235scalar
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The Fast Multipole Method 237factor
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The Fast Multipole Method 2398060No
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The Fast Multipole Method 2414030ML
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The Fast Multipole Method 243y1.92x
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The Fast Multipole Method 245The nu
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The Fast Multipole Method 247−20M
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The Fast Multipole Method 249−10
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The Fast Multipole Method 251100MLF
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The Fast Multipole Method 253[10] J
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272 IndexMaxwell’s equations, 5Me
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The Method of Moments in Electromagnetics

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