| Introduction |
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xiii | |
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Mathematical Preliminaries |
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1 | (30) |
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1 | (3) |
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1 | (1) |
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2 | (1) |
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2 | (1) |
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3 | (1) |
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4 | (3) |
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Gradient of a Scalar Field |
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4 | (1) |
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Divergence of a Vector Field |
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5 | (1) |
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6 | (1) |
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7 | (9) |
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7 | (1) |
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8 | (1) |
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Bicylindrical Coordinates |
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8 | (1) |
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Elliptic Cylindrical Coordinates |
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9 | (2) |
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11 | (1) |
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Oblate Spheroidal Coordinates |
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11 | (1) |
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Prolate Spheroidal Coordinates |
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12 | (4) |
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16 | (1) |
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16 | (1) |
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17 | (1) |
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17 | (1) |
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18 | (1) |
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18 | (1) |
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18 | (3) |
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18 | (1) |
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Inverse Laplace Transform |
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19 | (2) |
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21 | (1) |
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21 | (1) |
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21 | (4) |
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25 | (2) |
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25 | (1) |
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Modified Bessel Functions |
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25 | (1) |
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26 | (1) |
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27 | (4) |
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Solutions to Laplace's Equation |
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31 | (26) |
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31 | (7) |
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31 | (3) |
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34 | (1) |
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Bicylindrical Coordinates |
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35 | (1) |
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Elliptic Cylindrical Coordinates |
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35 | (1) |
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35 | (1) |
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Prolate Spheroidal Coordinates |
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36 | (1) |
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Oblate Spheroidal Coordinates |
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37 | (1) |
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37 | (1) |
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38 | (4) |
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Finite Difference Methods |
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42 | (4) |
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46 | (4) |
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50 | (7) |
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54 | (3) |
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A Walk Through QuickField |
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57 | (24) |
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57 | (4) |
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Basic Organization of QuickField |
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61 | (1) |
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Specifying Problem Types and Properties |
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62 | (1) |
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63 | (2) |
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Problem Solving and Post Processing |
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65 | (1) |
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Electrostatics Simulation |
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66 | (6) |
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Magnetostatics Simulation |
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72 | (9) |
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79 | (2) |
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81 | (32) |
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Coulomb's Law and the Superposition Principle |
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81 | (2) |
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Electric Flux and Gauss' Law |
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83 | (3) |
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83 | (1) |
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83 | (1) |
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Calculation of the Electric Field from Gauss' Law |
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84 | (1) |
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Divergence of the Electric Field |
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85 | (1) |
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86 | (1) |
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Delta Function Charge Distribution |
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87 | (1) |
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QuickField Electrostatic Calculation |
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87 | (7) |
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88 | (2) |
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90 | (1) |
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90 | (1) |
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Uniform Electric Field and Dipole Sources |
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90 | (1) |
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91 | (1) |
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Point Charge Inside a Conical Cavity in a Dielectric |
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92 | (1) |
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Charged Needle Threading a Circular Hole in a Conducting Sheet |
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92 | (2) |
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Calculation of Capacitance |
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94 | (2) |
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Motion of Charged Particles in Static Electric Fields |
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96 | (17) |
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101 | (12) |
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113 | (28) |
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113 | (1) |
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114 | (1) |
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Gauss' Law for Magnetic Fields |
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115 | (1) |
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Magnetic Scalar Potential |
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116 | (1) |
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Spherical Permanent Magnet |
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116 | (1) |
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Magnetic Vector Potential |
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117 | (2) |
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QuickField Magnetostatic Analysis |
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119 | (6) |
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Magnetic Material Properties |
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120 | (2) |
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122 | (2) |
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124 | (1) |
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125 | (1) |
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125 | (2) |
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Uniform Field in x-y Symmetry |
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125 | (1) |
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Uniform Field in Axisymmetry |
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126 | (1) |
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127 | (2) |
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Modeling a Line Current Source |
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127 | (1) |
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128 | (1) |
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128 | (1) |
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128 | (1) |
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129 | (1) |
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Magnetic Shielding by a Highly Permeable Tube |
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129 | (1) |
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130 | (11) |
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132 | (9) |
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141 | (42) |
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Faraday's Law and Maxwell's Displacement Current |
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141 | (2) |
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Time-harmonic Maxwell's Equations |
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143 | (3) |
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Current Sheet Above a Conducting Half-Space |
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144 | (2) |
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Vector Potential Formulation |
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146 | (11) |
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Circular Coil Above a Conducting Half-Space |
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147 | (5) |
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Circular Coil Above a Conducting Sphere |
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152 | (5) |
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Time-harmonic Analysis in QuickField |
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157 | (5) |
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157 | (1) |
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158 | (2) |
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160 | (1) |
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160 | (2) |
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Current Loop Inside a Conducting Sphere |
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162 | (1) |
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Eddy Current Nondestructive Testing Applications |
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162 | (6) |
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Change in Magnetic Field and Coil Impedance Due to a Defect in Pipe Inspection |
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163 | (1) |
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164 | (4) |
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168 | (2) |
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170 | (3) |
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170 | (1) |
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170 | (3) |
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173 | (10) |
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173 | (10) |
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183 | (28) |
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Time-dependent Maxwell's Equations |
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183 | (4) |
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Current Sheet Above a Conducting Half-Space |
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183 | (4) |
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Finite Difference Time-domain Method |
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187 | (2) |
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Fields Inside a Cylindrical Cavity |
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187 | (2) |
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189 | (1) |
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Vector Potential Formulation |
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189 | (3) |
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Circular Coil Above a Conducting Half-Space |
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189 | (3) |
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Time-dependent Magnetics in QuickField |
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192 | (10) |
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192 | (1) |
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Material Properties and Boundary Conditions |
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193 | (1) |
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Time-dependent Quantities |
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193 | (1) |
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Conducting Cylinder in a Transient Magnetic Field |
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194 | (3) |
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Current Sheet Above a Conducting Plane |
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197 | (1) |
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Current Loop Surrounding a Conducting Sphere |
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197 | (5) |
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Pulsed Eddy Current Nondestructive Testing Applications |
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202 | (1) |
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Maxwell's Equations with Monopole Source Term |
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202 | (9) |
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Monopole Moving in Crossed Electric and Magnetic Fields |
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203 | (1) |
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204 | (7) |
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211 | (22) |
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211 | (2) |
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212 | (1) |
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London Theory and the Meissner Effect |
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213 | (2) |
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215 | (1) |
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Type-I and Type-II Superconductors |
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216 | (1) |
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Superconducting Geometries and Boundary Conditions |
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217 | (1) |
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217 | (1) |
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Nonlinear Superconductors |
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217 | (1) |
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217 | (1) |
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Calculation of Supercurrent Density |
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217 | (1) |
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218 | (1) |
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218 | (2) |
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218 | (2) |
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220 | (1) |
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Hollow Superconducting Shells |
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220 | (4) |
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220 | (1) |
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220 | (1) |
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221 | (1) |
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222 | (2) |
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Layered Superconducting and Permeable Shields |
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224 | (1) |
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Superconducting & Highly Permeable Metal Sandwich |
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225 | (1) |
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Modeling Type-II Superconductors |
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225 | (8) |
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228 | (5) |
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233 | (20) |
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233 | (1) |
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DC Conduction Analysis in QuickField |
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234 | (4) |
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234 | (1) |
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235 | (1) |
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235 | (2) |
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Ellipsoidal Crack in a Current Carrying Plate |
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237 | (1) |
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Alternative Energy Applications |
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238 | (7) |
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238 | (1) |
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239 | (6) |
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245 | (1) |
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245 | (8) |
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249 | (4) |
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253 | (20) |
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253 | (1) |
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AC Conduction Analysis in QuickField |
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254 | (3) |
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254 | (1) |
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255 | (1) |
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256 | (1) |
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257 | (1) |
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Application to Biophysical Measurements |
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257 | (16) |
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Measurement of Effective Conductivity and Permittivity |
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257 | (1) |
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Dielectric Spectroscopy of Cells in Suspension and Tissue |
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258 | (2) |
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Living Cells in Alternating Electric Fields |
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260 | (2) |
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Cellular Organelles in Alternating Electric Fields |
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262 | (1) |
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Spherical Mitochondrion Model |
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263 | (1) |
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Mitochondrion with Complex Geometry |
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264 | (1) |
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Mitochondrion with Periodic Structure |
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264 | (5) |
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269 | (4) |
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273 | (30) |
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273 | (1) |
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274 | (3) |
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Temperature Distribution in a Semi-Infinite Plate |
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275 | (1) |
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Temperature Distribution in a Circular Plate |
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276 | (1) |
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276 | (1) |
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277 | (1) |
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Thermal Analysis in QuickField |
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278 | (8) |
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279 | (3) |
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282 | (1) |
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283 | (1) |
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283 | (1) |
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Steady State Heat Flow in a Sphere |
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284 | (1) |
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Transient Heat Flow in a Cylinder |
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285 | (1) |
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Coupled Time Varying Magnetic and Heat Transfer Problems |
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286 | (1) |
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Modeling Hyperthermia in Oncology |
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287 | (1) |
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Coupled Current Flow and Heat transfer Problems |
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287 | (16) |
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Temperature Distribution in a Fuel Cell Stack |
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287 | (1) |
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Fuel Cell in Open-circuit Mode |
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288 | (1) |
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288 | (6) |
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294 | (9) |
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303 | (40) |
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303 | (2) |
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303 | (1) |
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304 | (1) |
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304 | (1) |
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305 | (2) |
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Stress Analysis in QuickField |
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307 | (11) |
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307 | (2) |
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309 | (1) |
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310 | (1) |
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Material Properties and Loading Sources |
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311 | (2) |
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313 | (1) |
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313 | (1) |
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313 | (3) |
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316 | (1) |
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Stress Distribution Near a Crack |
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317 | (1) |
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Coupled Thermal and Stress Analysis |
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318 | (6) |
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Space Capsule Simulations |
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318 | (2) |
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320 | (1) |
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320 | (4) |
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Stress Analysis with Electric Forces |
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324 | (1) |
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Stress Analysis with Magnetic Forces |
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325 | (3) |
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Coupled Electric Current, Thermal and Stress Analysis |
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328 | (15) |
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332 | (11) |
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343 | (34) |
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Electrical Current and Ohm's Law |
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343 | (1) |
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344 | (2) |
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Resistances in Parallel and Series |
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346 | (2) |
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Capacitances in Parallel and Series |
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348 | (1) |
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Impedances in AC Circuits |
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349 | (1) |
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Transient Currents in Electrical Circuits |
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350 | (4) |
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350 | (1) |
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351 | (1) |
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352 | (1) |
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353 | (1) |
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Electrical Circuit Modeling in QuickField |
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354 | (6) |
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354 | (1) |
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Running the Circuit Simulation |
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354 | (4) |
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358 | (2) |
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360 | (1) |
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Electrical Circuit Models of Biological Systems |
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361 | (6) |
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Modeling the Passive Response of Neurons to Electrical Stimuli |
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361 | (2) |
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363 | (1) |
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363 | (2) |
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365 | (1) |
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Modeling Electrode Polarization |
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366 | (1) |
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367 | (10) |
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371 | (6) |
Appendix
1. A Walk Through MATLAB |
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377 | (8) |
Appendix
2. Laplace Transform of Pulsed and Periodic Functions |
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385 | (2) |
Appendix
3. Table of Conformal Mappings |
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387 | (4) |
Appendix
4. Engineering Material Properties |
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391 | (4) |
Appendix
5. Biological Material Properties |
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395 | (4) |
Appendix
6. About the CD-ROM |
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399 | (2) |
| Index |
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401 | |
