350
Index
Electromagnetic modeling of biological tissue,
257
Electromagnetic model of atherosclerotic
lesions, 245
Electromagnetic models for carbon-nanotube
reinforced polymers (CNT), 311
Estimation of width of a long, thin crack in a
bolt hole, 154
Euler angles, 112, 127, 193
Example calculations using VIC-3D(R), 64
Example of the multilayer model, 86
Example: raster scan at three frequencies, 15
F
Fatigue-crack growth in cold-worked fastener
holes, 143
Feasible set, 31
FE-SEM images of pristine CNT sheets, 315
First set-theoretic result, 91
First TASMANIAN results, 225
Five-dimensional inverse problem, 237
Fletcher-Reeves, 13
Fletcher-Reeves with restart, 14
Fortran RANDOM_NUMBER subroutine,
164, 194
Frequency response of saline, 265
Functional integration, 157
Further results for permittivity, 77
G
Gaussian noise, 17
Generalized electrical permittivity matrix, 82
Generalized polynomial chaos (gPC), 167
Geometric autocorrelation function of Ti-7Al,
204, 206, 207
Geometry of 4D-Level 8 Chebyshev Sparse
grid, 231
Green’s function for a layered workpiece, 84,
123
H
Heuristic iterative scheme for determining
zero-cutoff threshold, 103
Heuristic rule for host and anomalous cells, 47
High-dimensional model representation
(HDMR), 155, 157, 170, 211
High-dimensional numerical quadrature, 158
Hoˆ:CaF_2, 284
Hund’s rules, 296
Hybrid 1, 14
Hybrid 2, 14
I
Integration of functionals, PCM and stochastic
integral equations, 157
Interaction energy of two magnetic moments,
306
Interpolation theory using splines, 177
Inverse problem no.1, 327
Inverse problems with random anisotropies,
135
Inverse-quality metric, 111, 112
J
Jacobian matrix of derivatives, 145
K
Karhunen-Loève expansion, 160, 161
Karhunen-Loève model, 199
Kolmogorov’s superposition theorem, 170
Kramers-Kronig relations for a passive linear
system, 312
L
Laminated engineering composite structure,
118
Landauer formula for conductance, 316
A layer-stripping algorithm, 31
Layer-stripping for anisotropic flaws, 101
Least median of squares (LMS) estimator, 45
Lesion 2, 254
Levenberg-Marquardt parameter, 253, 275
Logarithm of the median-of-the squares
inversion reliability metric, 38
‘Lorentzian’ resonant curves, 321
M
‘Magnetic Lesion’, 306
Measured and model results for frequency
response of saline, 269, 273, 274
Microstructure of Ti-7Al, 195
Microstructure quantification problems, 86, 98
Microwave solid-state maser, 279
Modeling composite structures, 61
Modeling microstructure quantification, 106
Modeling rotations of anisotropic media, 127
Multi-level single linkage method, 149
N
Nanographene sheet structure, 316
Noisy data and uncertainty propagation, 241
Noninvasive detection and characterization of
atherosclerotic lesions, 256
Index
Electromagnetic modeling of biological tissue,
257
Electromagnetic model of atherosclerotic
lesions, 245
Electromagnetic models for carbon-nanotube
reinforced polymers (CNT), 311
Estimation of width of a long, thin crack in a
bolt hole, 154
Euler angles, 112, 127, 193
Example calculations using VIC-3D(R), 64
Example of the multilayer model, 86
Example: raster scan at three frequencies, 15
F
Fatigue-crack growth in cold-worked fastener
holes, 143
Feasible set, 31
FE-SEM images of pristine CNT sheets, 315
First set-theoretic result, 91
First TASMANIAN results, 225
Five-dimensional inverse problem, 237
Fletcher-Reeves, 13
Fletcher-Reeves with restart, 14
Fortran RANDOM_NUMBER subroutine,
164, 194
Frequency response of saline, 265
Functional integration, 157
Further results for permittivity, 77
G
Gaussian noise, 17
Generalized electrical permittivity matrix, 82
Generalized polynomial chaos (gPC), 167
Geometric autocorrelation function of Ti-7Al,
204, 206, 207
Geometry of 4D-Level 8 Chebyshev Sparse
grid, 231
Green’s function for a layered workpiece, 84,
123
H
Heuristic iterative scheme for determining
zero-cutoff threshold, 103
Heuristic rule for host and anomalous cells, 47
High-dimensional model representation
(HDMR), 155, 157, 170, 211
High-dimensional numerical quadrature, 158
Hoˆ:CaF_2, 284
Hund’s rules, 296
Hybrid 1, 14
Hybrid 2, 14
I
Integration of functionals, PCM and stochastic
integral equations, 157
Interaction energy of two magnetic moments,
306
Interpolation theory using splines, 177
Inverse problem no.1, 327
Inverse problems with random anisotropies,
135
Inverse-quality metric, 111, 112
J
Jacobian matrix of derivatives, 145
K
Karhunen-Loève expansion, 160, 161
Karhunen-Loève model, 199
Kolmogorov’s superposition theorem, 170
Kramers-Kronig relations for a passive linear
system, 312
L
Laminated engineering composite structure,
118
Landauer formula for conductance, 316
A layer-stripping algorithm, 31
Layer-stripping for anisotropic flaws, 101
Least median of squares (LMS) estimator, 45
Lesion 2, 254
Levenberg-Marquardt parameter, 253, 275
Logarithm of the median-of-the squares
inversion reliability metric, 38
‘Lorentzian’ resonant curves, 321
M
‘Magnetic Lesion’, 306
Measured and model results for frequency
response of saline, 269, 273, 274
Microstructure of Ti-7Al, 195
Microstructure quantification problems, 86, 98
Microwave solid-state maser, 279
Modeling composite structures, 61
Modeling microstructure quantification, 106
Modeling rotations of anisotropic media, 127
Multi-level single linkage method, 149
N
Nanographene sheet structure, 316
Noisy data and uncertainty propagation, 241
Noninvasive detection and characterization of
atherosclerotic lesions, 256