Wave Propagation in Linear Media | re-examined

in a plasma, 41
in wave guides, 22, 61
quantum mechanical, 27, 73
exponential line, 46
extrapolation
adaptive accuracy control, 155, 172
increasing the accuracy, 147, 152
Mathematica implementation, 149
of sequences, 125
performance comparison, 150
Fast Fourier Transform, 18, 120
Feynman path, 30
ux, 29, 98
Fourier integral, 4, 11, 50, 64, 73, 211
approximate solutions, 119
numerical evaluation, 120
free particle, 81, 96, 114
Gauss rule, 128
Gauss-Kronrod rule, 141, 145
Gaussian pulse, 18, 64
Green's function, 71
group delay, 28
group velocity, 4, 8, 22, 28, 68, 96, 102, 112
abnormal, 24
connection to phase velocity, 21
in a plasma, 42, 54
kinematic derivation, 6
transmission line, 33
high-pass lter e ect, 57, 102, 117
index of refraction, 8, 24
inductive wall, 36
information transmission, 24, 70
ionosphere
dispersive e ects, 50
Laplace transform, 120
Larmor time, 97
light cone, 71
Lorentz medium, 10, 24
mature dispersion, 12
248
modulation, 4, 48
monochromatic wave, 3, 27, 96
multipath propagation, 25
on-o -keying, 49
oscillating integrand, 125, 141
Index
partial sums
sequence of, 133, 138, 146
partition
asymptotic, 145, 175
of integrals, 126, 133
starting point, 138, 168
zeros vs. extrema, 135, 146
phase time, 28, 97, 102, 115
phase velocity, 3, 17, 34, 60, 68
connection to group velocity, 21
plasma
lossless, 41, 48, 64
plasma frequency, 41, 54
precision
arbitrary, 156
within Mathematica, 141, 156
precursor, 11, 17
probability density, 27, 79
pulse peak, 24
temporal vs. spatial, 18, 102, 104
trajectory, 28, 88, 100, 107, 112
pulse reshaping, 25, 66, 71, 90, 112, 115
quadrature, 125
computer routines, 127
performance comparison, 141
quadrature module, 214
application example, 197, 221
Mathematica implementation, 161
options, 162, 167
partition strategy, 162, 170
program structure, 164
test examples, 181
test of application example, 205
quantum clock, 30, 97
re ection coe cient, 29, 73, 192
resonance, 7