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Lindsay R.B. — Mechanical Radiation |
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Предметный указатель |
Equation of state, van der Waals’ 214
Euler, L. 40 188 270
Eyring reverberation formula 330
Eyring, C.F. 329
Eyring, H. 345 346 350
Fay, R.D. 281
Fay’s method for large amplitude waves 281—285
Fermat’s principle of least time 51
Fermat’s principle, used to deduce laws of reflection and refraction 52—55
Fermi distribution law for electron gas 367
Feshbach, H. 39 63 153
Filter, acoustic, finite 240—243
Filter, acoustic, low-pass 235
Filter, acoustic, with iterated branch lines 239—240
Filter, analysis, matrix techniques 382—386
Filter, layered medium 85
Filter, loaded string 124—128
Filter, loaded string, finite 126—130
Filter, low-pass string 125
Filtration in linear crystal lattice 160—162
Filtration in linear iterated structure 81—86
Filtration in loaded string 124—130
Filtration of electromagnetic radiation 86
Filtration of sound 233—240
Filtration of torsional waves in rod 185—186
Firestone, F.A. 248
Fischer, F.A. 246
Flexure of circular plate 189
Flexure of flat plate 186—190
Flexure of rod 179—185
Flexure, strain due to 180
Flow of ideal gas 307
Flow, irrotational, of incompressible fluid 196
Flow, isentropic, of ideal gas 308
Flow, isentropic, of viscous thermally conducting fluid 307
Fluid, acceleration in flow 148
Fluid, equation of state 87
Fluid, Eulerian equation of motion 270
Fluid, incompressible, equation of motion for 197
Fog, effect on sound propagation 315
Foldy, L.L. 233
Forceá generalized, on string 120
Force, driving, at point on string 121—124
Fourier analysis 69—72
Fourier coefficients for bounded media 71
Fourier coefficients for plucked string 117
Fourier integral 105—106
Fourier series 70 96 281
Fourier theorem 70
Fourier transform 106—107
Fox, F.E. 283 285 362
Franklin, Philip 62 70 142 152
Franklin, W.S. 328
Fraunhofer diffraction 100 228
Frequency change with motion of source or observer 311—313
Frequency distribution law for normal modes 73
Frequency modulation 18
Frequency response of amplifier 108
Frequency spread in pulse 108
Frequency, angular 10
Frequency, fundamental 15
Frequency, fundamental, for flexural waves in circular plate 190
Frequency, relation with wave length 11
Fresnel formulas 225—226
Fresnel, A. 222 226
Friedrichs, K.O. 271 273 286 292
Gamma function 94
Gassy cavitation 360
Geometrical radiation theory 41—47
Gibbs free energy 345
Glasstone, S. 345 346 350
Gogate, D.V. 375
Gravitational potential 198 207
Gravity waves in liquid 198—204
Gray, T.S. 18
Green function 63
Green, George 221
Green’s Theorem 62
Group velocity 109—112
Group velocity for linear lattice 164
Group velocity of flexural waves, in flat plate 189
Group velocity of flexural waves, in solid rod 182
Group velocity of longitudinal waves in solid rod 179
Group velocity of surface tension waves in liquid 201
Group velocity, connection with energy flow 165—166
Gutenberg, B. 322
Hall, L.H. 339
Hamilton — Jacobi equation 46—47
Hamilton’s principle 39
Hankel functions 95—96
Harmonic analysis of wave pulse in dispersive medium 109—112
Harmonics of finite linear vibrating medium 15
Harmonics of plucked string 117 see
Harris, C.M. 331
Heat conduction in fluid 266
Heat flow in flowing liquid 305
Helberg, H.W. 362
Helium, propagation of sound in 375—378
Helmholtz resonator see “Resonator”
Hertz, G. 295
Herzfeld, K.F. 362
Hexagonal crystal, elastic wave velocity in 160
High polymer liquids 354
Hirschfelder, J.O. 213 395
Hooke’s law 31 87 185 211
Hooke’s law for anisotropic medium 155
Hooke’s law for homogeneous, isotropic elastic medium 146—147
Horn as filter 243 396
Horton, J.W. 320
Houston, W.V. 123 128 132 166 169
Hsu, E. 295
Hudson, G.E. 179
Hull — Lebedev effect 293
Hull, G.F. 293
Huygens’ principle, generalized form 64—66
Hydrodynamic equations for compressible fluid 86—88
Hydrodynamic equations for incompressible fluid 196—197
Hydrodynamic equations in magnetohydrodynamics 207
Hypersound 370—371
Hypersound, scattering of light by 371—375
Impedance of branch 235
Impedance of compressional plane and spherical waves in fluid 218—221
Impedance of plane wave 218
Impedance of spherical wave 219
Impedance, acoustic 218—221 237
Impedance, characteristic, of filter 84
Impedance, electrical 244
Impedance, matching 77 256 320
Impedance, motional 250
Impedance, specific see “Specific acoustic impedance”
Impedance, specific, in loaded string 129—130
Indeterminancy relation 108
Index of refraction 43
Index of refraction, variable, medium of 55—57
Inertia, due to radiation 90
Inertia, rotational 182
Initial conditions for finite linear medium 70—72
Initial conditions in forced oscillations of string 122—123
Intensity in general elastic radiation field 154
Intensity of compressional plane and spherical waves in fluid 216—218
Intensity of plane progressive wave 32
Intensity of radiation field of piston source 258
Intensity of radiation reflected from liquid-gas interface 317—318
Intensity of radiation scattered by cylinder 98—101
Intensity of sound, balance method of measuring 295
Intensity of spherical wave 34
Intensity of stationary wave 35—39
Intensity of wave scattered by bubble 231—232
Intensity on ray theory 46
Interference 60—61
| Interference of underwater sound 318
Interference, constructive, in optics and acoustics 60—61
Interference, destructive 60—61
Irrotational flow of incompressible fluid 196—197
Irrotational spherical wave 152
Irrotational surface wave in solid 191
Irrotational vector displacement in elas tic medium 148
Irrotational wave in elastic medium 149
Irrotational wave in solid rod 173
Isentropic flow in high-intensity sound 275
Isentropic flow of viscous thermally conducting fluid 307
Isothermal bulk modulus 267 272
Iterated linear structure, transmission through 81—86
Jacobsen, C.H. 371
Jahnke, E. 94
Jeans, J.H. 379
Jenkins, F.A. 60 226 318 363
Jolley, L.B.W. 282
Jones, H. 374
Kelvin’s principle of stationary phase 66
Kinematic theory of Doppler effect 311—313
Kinetic energy density for plane wave in linear medium 33
Kinetic energy density for wave in string 116
Kinetic energy density of surface wave in liquid 202—204
Kneser, H.O. 335 344
Knudsen, V.O. 329—331
Kock, W.E. 68
Kolsky, H. 179 190
Kundt’s tube experiment 355
Lagrangian density 40
Lagrangian density for plate in flexure 188
Lagrangian equations for finite vibrating string 120
Lagrangian equations for linear elastic medium 40
Lagrangian form of hydrodynamic equations 271 274
Lagrangian function 40
Laidler, K.J. 345 346 350
Lamb, H. 271 285
Lame coefficient 147 265
Landau theory of liquid helium 378
Langevin radiation pressure 295
Laplace, P.S. 212
Laplace’s equation in incompressible fluid 197
Laplace’s equation in magnetohydrodynamics 208
Laplacian in cylindrical coordinates 93 132
Laplacian in spherical coordinates 88 379
Larmor, J. 66
Lateral strain 146
Lebedev, P. 293
Legendre polynomial 102
Leighton, P.A. 343
Leonard, R.W. 348
Lewis, C.R. 85
Liebermann, L. 349
Light scattering in liquids and solids by hypersound 374
Light, anomalous dispersion 112
Light, elastic solid theory 68
Lighthill, M.J. 106 121 286
Lindsay, R.B. 6 39 46 62 85 86 91 120 143 178 186 196 207 238 261 283 285 299 303 335 339 367
Linear lattice cutoff frequency 163
Linear reaction-rate equation in relaxation theory 335
Linear strain 31
Linear vortex, wave transmission through 299—303
Linearity of wave equation 23
Liouville, J. 379
Liquid fountain 355
Lloyd mirror effect 316—318
Logarithmic decrement 195
Longitudinal wave in elastic medium see “Waves”
Loop 16
Lorentz assumption in electromagnetic radiation 171
Lorentz, H.A. 170
Loudspeaker 248
Love waves in solids 322—325
Love, A.E.H. 322
Low-pass filter 235
Low-pass string filter 125
Low-temperature acoustics 366—370
Lucas, R. 362 363
Lycopodium powder 178
Mach number 289
Macrosonic spherical waves 275
Macrosonics 270—285
Macrosonics in viscous fluid 279
Magnetic permeability 170
Magnetohydrodynamics 206—209
Magnetostrictive transducer 249
Mantle of the earth 322
Margenau, H. 6 94 102 259 379 383
Markham, J.J. 339
Mason, W.P. 85 251 353 354 367
Mass equivalent, of resonator orifices 236—237
Mass, effective, of membrane 137
Mass, effective, of vibrating system 90 243
Mathematical induction, use in finite filter analysis 240
Matrix multiplication 156 382
Matrix relations in anisotropic media 156
Matrix techniques in filter analysis 382—386
Matrix, diagonal 147 150 383
Matrix, unit 156 383—384
Maxwell equations of electromagnetic field 166—167
Maxwell, J.C. 169 265
McLachlan, N. 277
Mean curvature 187
Mean free path of acoustic radiation 329
Mean free path of electrons, effect on sound attenuation 367
Mechanical compliance 90 246
Mechanical equivalent of heat 336
Mechanical parallel circuit 246
Mechanical reactance 221
Mechanical resistance 221 246
Mechanical series circuit 246 247
Medwin, H. 360
Meixner, J. 341
Membrane treated as piston 137—140
Membrane, circular 134—140
Membrane, rectangular 133—134
Mende, H. 295
Meyer, E. 333
Microphone 249
Microwave cavities, use in producing ultra high frequency sound 371
Milne-Thomson, L.M. 197 299
Mintzer, D. 315
Mobility analogy 247—248
Modulated sinusoidal wave 13
Modulation amplitude 13 18
Modulation frequency 18—19
Modulation phase 19
Molar gas constant 214
Molar heat at constant volume 267
Molar volume of water 346
Molecular mutual potential energy 343
Molecular organic layer in cavitation 361
Molecular radius in terms of sound velocity 215—216
Molecular specific heat at constant volume 336—337
Molecular theory of absorption and dispersion of sound in fluids 168 334—339
Momentum conservation in fluid flow 196—197
Momentum conservation in shock front propagation 287
Momentum flow, in radiation field 293
Morse, P.M. 39 63 73 94 99 101 134 153 330 332
Morse, R.W. 173 175—177 369 370
Motional impedance 250
Mott, N.F. 374
Murphy, G.M. 94 102 259 379 383
Naake, H.J. 362
Narasimhan, V. 285
Neumann function 94
Newton, Isaac 212
Newtonian fluid 264 304
Newton’s third law 89
Nichols, E.F. 293
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