Wave Propagation in Linear Media | re-examined

Index
saddle point integration, 11, 119
scattering
examples, 81, 221
vs. escaping, 28
Schrodinger equation, 27, 212
time-independent, 27, 73
semi-classical time, 96
sequence
alternating, 126, 129, 133
speed of convergence, 137
transformation, 129
Shanks transformation, 130
signal
small-band, 6, 28, 96
signal velocity, 10
for Gaussian pulses, 14
for rectangular pulses, 13
measurement of, 13
Simpson rule, 125
spectrum
broad, 49, 85
energy and momentum, 76
Gaussian pulse, 64
Gaussian wave packet, 78
narrow, 6, 16, 22, 92, 112, 116
rectangular wave packet, 76
triangular wave packet, 77
wave number vs. frequency, 51
square barrier, 27, 93, 121
stationary phase
method of, 11, 16, 28, 140
step barrier, 73, 81, 122, 191
physical dimensions, 84
subdivision
adaptive, 128, 141
e ect on convergence acceleration, 133
superluminal velocity, 21, 70
experiments, 22
TE mode, 60
TEM wave, 35, 41, 49, 60, 63
termination, 37
total internal re ection, 10
transfer function, 65, 70
249
transmission coe cient, 29, 73, 95, 104, 192
transmission line, 17, 32
characteristic impedance, 33, 42, 44, 46
dispersion-free, 34
equivalence to a wave guide, 44
equivalent circuit, 32, 49
frequency dependence of losses, 34
inhomogeneous, 46
trapezoidal rule, 121, 125, 128, 141
travelling-wave tube, 16
truncation
of integrals, 125, 196
tunnel e ect, 21, 26
analogy to wave guides, 26, 117
examples, 100, 229
tunnelling time, 28, 96, 112
negative, 107, 116
uncertainty principle, 49
W -transformation, 126, 147
wave equation, 3
wave front velocity, 11, 12, 24, 34, 41, 52,
57, 63, 71
wave function
normalisation, 27
wave guide, 7, 10, 21, 44, 60
wave number, 3, 8, 50, 54
quantum mechanical, 27
wave packet, 4, 16, 76, 129, 149
centre of gravity, 6, 17, 23
Gaussian, 88, 96, 100, 121, 196
moments of a, 18
rectangular, 81, 195
triangular, 85, 122, 193