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Brillouin L. — Wave Propagation in Periodic Structures
Brillouin L. — Wave Propagation in Periodic Structures

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Название: Wave Propagation in Periodic Structures

Автор: Brillouin L.

Аннотация:

Classic treatment of wave propagation covers a broad variety of problems with a common mathematical background, from solid state physics to propagation along electric lines, X-rays, rest rays, certain optical reflections, electrical engineering, and wave mechanics of the spinning electron.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1946

Количество страниц: 247

Добавлена в каталог: 09.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absorption      174
Acoustic waves      158
Acoustic waves along a pipe of elliptic cross section      173
Acoustical branch      15 55 63 67 128 158 161
Acoustics      194
Adiabatic elastic coefficient      2
Admittance      203
Ambiguity in wave length      6 7
Ambiguity, in the value of $K_1$ and $K_2$      104
Amplitude A (r), as a periodic function in the direct lattice      111
Analogies      43
Analogies between electrical and mechanical systems      40
Anisotropic medium      163
Anisotropic medium oscillator      21
Antiresonance      219
Asymmetric cells      82 84
Atomic planes      136 138
Atomic rows      136 138
Attenuation      9 33 38 57 76 174 212 216
Average perturbation      112
Baden-Powell      4 6 11 17 31
Bands, absorption      174
Bands, four-terminal      225
Bands, N particles per cell, meaning N      130
Bands, pass      19
Bands, pass-filter      11 13 43
Bands, passing      16 25 49 55 115 122 174 177 183 216 218—221 225
Bands, stopping      11 16 24 55 56 60 115 122 174 177 183 218 225 226
Bands, structure      220—223 225
Bands, two-terminal      220—223
Basis vectors      131
Bernoulli, Daniel      2
Bloch, F.      140 171
Body-centered cubic lattice      135 148 153 159
Boltzmann, L.      164
Born, M.      14 16 44 49 155 159 162 171
Bouckaert, L.P., Smoluchowski, R. and Wigner, E.      171
boundary conditions      30 35 69 127 159
Bragg's theory      123
Bragg's theory of reflection      113 115 118 120 122 136 138 191
Branch, acoustical      15 55 63 67 128 158 161
Branch, optical      15 55 63 67
Bravais hexagonal lattice      149 154
Bravais hexagonal lattice, notation for crystal planes      99
Brillouin, L.      97 167 171 178 192
Cable      3 194
Campbell      13 193 194
Canonical form of the line equations      214
Capacity      188 228
Carrier wave      75
Cauchy, A.L.      3—10
Cell (cells)      97
Cell (cells) of the lattice      15 65
Cell (cells), asymmetric      82 84
Cell (cells), direct and reciprocal      132
Cell (cells), elementary      97 131
Change in periodicity      59
Characteristic impedance      49 69 80 81 83 85 86 88 91 92 194 196 20&—211 213 214 217 218 224 226 229 231 232
Characteristic temperatures      164 166 171
Chodorov, M.I., and Manning M.F.      171
Clairaut, A.C.      3
Classical thermodynamics      166
Close-packed hexagonal lattice      154
Close-packed spheres      149 150
Cloud of electrons      121
Co variant unit vectors      97
Cohesive forces      168
Complete row or plane system      130
Complex amplitude      147
Complex variables      70
Conductance      228
Continuity across the boundary      127
Continuous medium      32
Continuous medium with periodic variations      106 108
Continuous periodic structure      130
Continuous string      19
Continuous string with periodic structure      67 68
Contravariant unit vectors      97
Coupled harmonic oscillators      58
Critical frequency      9 13 14 18
Cross section      127
Crystals      121 122 193
Cubic lattice      152 153
Cubic lattice, body-centered      135 148 153 159
Cubic lattice, face-centered      134 135 148 150 153 159
Cutoff      9 10 33
Cutoff frequencies, for longitudinal and transverse waves      164
Cutoff frequency      19 32 38 162 164 230 231
Cutoff wave length      162
Cyclic conditions      159 161
Davisson      123
de Broglie, M.      64 123 158
Debye      162 164—166 167 171
Dense spacing      31
density      85
Density of points in the lattice planes      133
Determinant      202 204 206 212 226 228 230 232 237
Determinant, infinite      141 142 179
Diagonal elements      212
Differential operator      235
Dirac method      236 239
Direct and reciprocal cells, having reciprocal volumes      132
Direct and reciprocal lattice      94 95 107 123 131
Direct or reversed pendulum      190
Discontinuities      130
Discontinuities in the $\nu$ vs. (a) curve      106
Discontinuous string      13 193
dispersion      10 69 70
Distance between lattice rows or planes      117 133
Distance, of interaction      33
Distortion      70 76
Double line      39
Doubly and triply periodic functions      99
Dulong P.L., and Petit, A.T.      166
Elastic force      81
Elastic waves      158 191 193
Elasticity modulus      85
Electric lines      69 193—196
Electric lines, continuous      227
Electric lines, loaded      40 84
Electric-circuit theory      194
Electrical analogue of the one-dimensional diatomic lattice      47
Electrical analogue of the one-dimensional diatomic lattice, glossary      195
Electromagnetic energy      40
Electromagnetic waves      158 193 194
Electron cloud      127
Electron spin      194 196 206 236
Electronic density      102 121 125 127 192
Electronic waves      190 191 193
Electrostatic energy      40
Elementary cell      131
Elementary cell in the direct or reciprocal lattice      97
Elementary lattice      160
Energy (energies) density      72 73 89
Energy (energies) of a solid      164
Energy (energies) velocity      69 70 72 74 81 91
Energy (energies), average potential and kinetic      92
Energy (energies), equipartition of      166
Energy (energies), flow of      69 72 73 85 86 89 90
entropy      168
Entropy of a solid body      167
Equidistant coupled oscillators      21
Equipartition of energy      166
Euler, L.      2
Ewald, P.P.      136 138
expansion      168
Exponential horn      229
Exponential line      229 230
Extension modulus      31
External pressure      168
Face-centered cubic lattice      134 135 148 150 153 159
Filter, band-pass      193
Filter, high-pass      13 14 19 36 42 230
Filter, low-pass      9 13 19 36 37 40 42 84
Filters      12 193 194
finite      81
Finite lattice      28 34 69
Finite piece of crystal      159
first zone      137 138 154
First-order correction on the frequency      115
Floquet      140 173 175 181 232
Flow of energy      69 72 73 85 86 89 90
Four-terminals      195 200 203 205 208 213 214 225 227 237
Four-terminals in cascade      211 231
Four-terminals representation of continuous lines      229
Four-terminals, infinitesimal      234
Four-terminals, infinitesimal, nonreversible      228
Four-terminals, inverse      204
Four-terminals, nonreversible      217 228 232
Four-terminals, reversed      204 205 207 210
Four-terminals, reversible      205 211 214 216 217 226 228 229 232 234 239
Fourier series      2 3 35 143 184 185 191
Fourier series, multiple      101 109 121
Fourier, J.B.J.      77 130
French, N.R.      49
Frequency as a periodic function of the wave vector      104 142
Frequency distribution for waves      157
Frequency, cutoff      128
Fundamental interval      25
Generalized Lagrange coordinates      196
Geometrical representation of matrices      206 207
Germer      123
Goodwin, T.H.      122
Group $\mathrm{C}_2$      206
Group $\mathrm{C}_2$ of waves      70
Group $\mathrm{C}_2$, velocity      70 74 75 80 91 160
Hardy, R.      122
Harmonic content of oscillations      189
Harmonic content of oscillations, oscillator      21 164 169
Hartree      192
Heaviside, O.      13
Hermitian matrices      236 239
Herring, C.      171
Hexagonal lattice      123 149 150 153 154 158
Hexagonal lattice, close-packed      150
Hexagonal lattice, first and second zone of      154
High-pass filter      13 14 19 36 42 230
Hill's equation      143 178—180 232 234
Hill's equation with a rectangular curve      180
Historical background, eighteenth century      1
Historical background, nineteenth century      3
Homogeneous isotropic medium with a small periodic perturbation      137 139 143
Hooke, R.      167
Horizontal tangent      127
Humbert, J.      173 192
Hund, F.      171
Ideal isotropic solid body      161
Impedances      203
Impedances of electric lines      84 209
Impedances, image      215 216
Impedances, iterative      209
Impedances, mechanical      209
Index of refraction      9 12
Inductance mutual      195 196
Infinite determinant      141 142 179
Infinite line      81
Infinite number of branches      130
Infinite set of lattice planes      132
Infinitesimal portion of the line      227
Infinitesimal transformation      227
Inhomogeneous differential equation      109
Input impedance      210
Instability and self-excitation      189
Interaction between molecules      23
Interaction between molecules, nearest neighbors only      31 72 80
Interatomic distances      10
Internal pressure      168
Ions      192
Isotropic solid      158
Jones, H.      171
Junction of an aerial telephonic line with a city cable      49
Junction of two lattices      30 85 87
Kelvin, W.T.      5 10 11 33 193
Kronecker, L.      67 141 143
Kronig, R.de L.      184 192
Lagrange, J.L.      3 13 193
Laplace, P.S.      1 108 140
Lattice of identical particles      19 26
Lattice with basis      128 129 147 149 158
Lattice, body-centered cubic      135 148 153 159
Lattice, crystal      121 122 193
Lattice, cubic      152 153
Lattice, direct      72 80 94 95 107 123 128 131 159
Lattice, elementary cell in the direct or reciprocal      15 65 97 131 159
Lattice, finite      28 34 69
Lattice, hexagonal      123 149 150 153 154 158
Lattice, NaCl      44 49 52 55 154
Lattice, oblique      97 102 125
Lattice, one-dimensional      2 3 4 17 44 65 69
Lattice, polyatomic      128
Lattice, reciprocal      101 116 125 132 134 159
Lattice, rows and planes      98 102 116 117 133 135 151
Line      81
Line of four-terminals      211 216
Line with constants coefficients      232
Line, electric      69 193 194 195 196 227 236
Line, impedance of an electrical      209
Linear combinations of plane waves      64
Linear combinations of two exponentials      113
Linearization of the relativistic wave equation      236
Loaded line      3 13 221
Loaded line with condensers      222
Loaded line with four-terminals      224
Loaded line with inductances      222
Loaded line with two-terminals      218
Loaded line, string      12 19 68
Longitudinal vibrations      20 158 162 163 164
Lorentz, formula of      11
Loud-speaker      229
Low-pass filter      9 13 19 37
Low-pass filter, electrical      13 37 40 84
Low-pass filter, mechanical      36 38 40 42
magnetic moment      236
Manning, M.F.      171
Mathieu, P.      140 142 172—182 187 192 233
Matrices      96 193 194 196 201 206 207 213 218 220 226 227 232 237
Matrices unit      96 204 206 227
Matrices, commutative      209 218
Matrices, complex      206
Matrices, Hermitian symmetrical      236 239
Matrices, inverse      202 206
Matrices, multiplication of      203 207 209 231
Matrices, Pauli      234 236 239
Matrices, principal axes of      207 208 210 213
Matrices, proper values of      208 212 229
Matrices, reversible      236
Matrices, six-terminal      238
Maximum frequencies      162
Maxwell's equations of electro-magnetism      70
Mead, S.P.      49
Mechanical filter      12 36 38 40 42 193
Mechanical filter, oscillators      189
Medium with periodic structure      158
Metals, free electrons in      190
Mixtures of tiny crystals in      161
Modes of vibration      2
Modulation      75
Molecular structure of matter      10
Monatomic lattice      72 80 128 159
Morse, P.M.      171 192
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