648 Index
Dirichlet’s spread function, 592
Discretization, 483, 613
Displacement current.365, 384
Displacement vector D, 79
Divergence, 498, 500, 558
Divergence of a vector, 6
Dot product, 3, 6, 7, 574
Downward Contin uation, 535, 536, 537,
547, 550, 551, 552, 556, 559
Drift Correction, 71
Dyadic Green’s Function, 529
Dyadics, 466
Eddy Current, 350, 351, 357, 362
Eigen value, 41, 576, 577
Eigen vector, 576–577
Electrical conductivity, 32, 133
Electrical force field, 77
Electrical Images, 329–347
Electrical Permittivity, 77–79
Electrical Resistivity, 129
Electromagnetic field, 394, 399, 408,
416, 421, 552, 556
Electromagnetic Field due a long line
source, 416
Electromagnetic Field due to a
Conducting Cylinder, 428
Electromagnetic Field due to a Spherical
Body, 434
Electromagnetic wave, 349, 356–358, 366
Electrostatic Charge, 79
Electrostatic energy, 86
Electrostatic field, 88
Elementary wavelet, 354
Elements, 1–16
Elliptic Function, 300–302
Elliptic Integral, 297–305
Elliptic Integral of the Third Kind, 303
Elliptic Polarisation of Electromagnetic
Waves, 356
Energy Minimisation, 499
Equation of Continuity, 132
Equations, 38
Euclidean Space, 564
Even determined problem, 568
Existence of an inverse problem, 564
Farada y’s law, 104
Fast Simulated Annealing, 609, 610
Ferrimagnetic Substance, 101
Ferromagnetic Substance, 100
Field of Force, 17
Finite difference formulation, 473–481
Finite Element Formulation, 496–507
Fitzerald Vector, 369
Forward Problem, 448, 471, 472
Fourier Cosine Transform, 480
Fredhom’s Integral, 40–41
Frequency, 388
Frobeneous Power Series, 187, 243
Gal, 44
Galerkin’s approach, 471, 496, 497, 509,
512, 515
Gauss’s divergence Theorem, 8
Gauss’s flux theorem, 151
Gauss Elimination, 514
General solution Laplace Equation
for an anisotropic earth, 31, 34,
260, 261
General Solution of Laplace Equation
for an isotropic Earth, 233, 260
Genetic Algorithm, 561, 565, 604,
611–616, 623
Geomagnetic field, 118
Geomagnetic Micropulsations, 122
Global Field, 17, 24
Global Matrix Equation, 514
Global optimization, 603
Gradient of a Scalar, 4
Gravitational Field, 47–58, 62, 72
Green’s Equivalent Layers, 322
Green’s First Identity, 307
Green’s Formula, 312
Green’s Function, 445–469
Green’s Function as a Kernel Function,
457–460
Green’s function for Dirichlet’s
Problem, 34–36
Green’s Function for Elliptic Equa-
tions, 39
Green’s Function for Solution of Simpler
Po tential Problems, 471
Green’s Second Identity, 308
Green’s Theorem and Estimation of
Mass, 317
Green’s Theorem and Poisson’s
Equation, 11