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| Авторизация |
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| Coulson C.A. — Waves: a mathematical approach to the common types of wave motion |
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| Предметный указатель |
Absorption coefficient 135
Adiabatic 104
Advanced potentials 161
Advanced times 161
Ampere's Rule 119
Amplitude 2
Amplitude, modulation 152
Amplitudes, partial 46
Anharmonic lattice waves 74—77
Anomalous dispersion 154
Antinodes 6
Bars and springs, longitudinal waves in 67—74
Bars and springs, variable cross-section of 77
Basins, tides in 84 88 91—94
Beats 152
Beats, frequency of 152
Bell, vibrations of 64
Bernoulli's equation 80 90 99 110
Bore 184 221
boundary conditions 1 19 40 44 51 68 87 90 99 107 111
Boundary conditions, fixed 29
Boundary conditions, free 29
Boundary value problem 25
Boundary value problem, mixed 25 34
Brewster's angle 132
Capillary waves 98—100
Cauchy data 19
Cavitation speed 205
Characteristic curves 21 182 188 195
Characteristic curves, envelope of 184 203
Chladni's figures 64
Circularly polarised light 126
Combination tones 152
Compatibility conditions across characteristics 193
Compressible fluid 104
Compression wave 201 215
Condensation 105
Conductivity 118
Conical pipe, sound waves in 112
Conservation laws 180
Conservation laws, matrix form 181
Constant of separation 9
Constitutive relations 119
Contact discontinuities 213
Continuous dependence of solution 22
Coordinates, normal 50 62 69
Cutoff frequency 116 142
D'Alembert 7
d'Alembert's formula 20 219
Damping 15 52
Decay, modulus of 15.
Degenerative vibrations 62
Derivative, material 80
Derivative, total 80
Dielectric displacement 118
Diffraction at a pin-hole 164 167
Diffraction at a pin-hole, Fraunhofer theory 167
Diffraction of light 167
dispersion 18 153
Dispersion, anomalous 154
Dispersion, relation 18
Displacement current, Maxwell's 120 134 136
Disturbed region 189
Disturbed state 191
Domain of dependence 20
Domain of determinacy 20
Doppler effect 150
Drude 133
Eigenfunction 44 49
Electric and magnetic field strengths 118
Electric waves 118—145
Elliptically polarised light 126
End correction 107
Energy integral method 54
Energy, kinetic 37 47 62 63 69 95 113
Energy, loss of 138
Energy, potential 38 47 62 69 95 113
Energy, rate transmitted 96 126 154
Entropy inequality 215
Equation of telegraphy 15 17 42 134
Equation of wave motion 1—30 189
Equation of wave motion, complex solutions 16—17
Expansion wave 201 202 215
Exponential horn 115
Field strengths, electric and magnetic 118
Fraunhofer diffraction theory 167
Free surface 81 98
frequency 3
Frequency, modulation 152
Fresnel's principle 164
Fundamental 48 64 73 108
Gauss' theorem 119
Gaussian wave packet 155
General considerations for waves 149—174
Ground note 48
Group velocity 97 152 155 157
Half-width 156
Harmonic wave 2 16—18
Helmholtz equation 142 147
Horn 112 115
Huygens' principle 161 164
Hyperbolic, totally 188 194
Inclination factor 154
Incompressible liquid 79
Index refractive 121 133
Induction, magnetic 118
Inhomogeneous wave equation 23—25 32
Initial conditions 19
Intensity 167
Internal or total reflection 132
Isothermal 104
Joule heat 138
Kinetic energy in bars 69
Kinetic energy in liquids 95
Kinetic energy in membranes 63
Kinetic energy in strings 37 47
Kinetic energy of sound 113
Kirchhoff 161
Korteweg — de Vries equation 76
Lenz's law of induction 120
Light, velocity of 121
Liquids, waves in 79—101
Long waves in shallow water 81 217 221
Longitudinal waves 35
Longitudinal waves in bars and springs 67—77 104
Lowest frequency 48
Mach number 218
Magnetic and electric field strengths 118
Maxwell's displacement current 120 134 136
Maxwell's equations 118
Maxwell's Relation 121
Membranes, waves in 59—65
Mersenne's law 48
Mode, normal 44 47 48 50 52 61 63 70 108 112
Modulation, amplitude 152
Modulation, frequency 152
Modulation, phase 152
Modulus of decay 15
Nodal planes 6
nodes 6
| Non-conducting media 120
Normal coordinates 49 62 69
Normal modes in bars 70
Normal modes in circular membranes 63
Normal modes in rectangular membranes 64
Normal modes in sound waves in pipes 107 112
Normal modes in strings 43—45 48 50 52
Observer, moving 150
Organ pipe 108
overtones 48 64
Packet, wave 155
Partial amplitudes 46
Paths of particles 88 94
Period 2
Period, equation 52 94 112
Phase 3 16 152
Pin-hole 164 167
Pipes, sound waves in 107—112
Piston problem 202
Pitch 48
Plane of polarisation 126
Plane, nodal 6
Plane, polarised light 126
Plane, wave 4
Polarisation, plane of 126
Polarising angle 132
Potential energy in bars 69
Potential energy in liquids 95
Potential energy in membranes 63
Potential energy in sound 113
Potential energy in strings 37 47
Potential, advanced 161
Potential, electric 122 123
Potential, magnetic or vector 122 123
Potential, retarded 161 171
Potential, velocity 79 90 104 109
Poynting vector 120 126 138
Pressure, radiation 138
Principle of superposition 6 150 155 157
Profile wave 1
Progressive waves 6 13 37 40 41 43 53 84 88 91 94 99 112 114 124—138
Quasilinear equation 76 179
Range of influence 21
Rankine — Hugoniot relation 211 214
Reduction to a steady wave 53 88
Reflection of light waves 127
Reflection, coefficient 41 131 137
Reflection, total or internal 132
Refraction of light waves 127
Refractive index 121 132
Refractive index, complex 134
Relaxation, time of 124
Resistance, specific 118
Retarded, potential 161 171
Retarded, time 161
Riemann invariants 196
Ripples 100
Screen 164 165
Separation of variables 9
Separation, constant 9
Shock wave 210
Shock wave, back 213
Shock wave, front 213
Simple waves 200 203
Skin effect 138
Snell's law 129
Solution by reflection 27—29 34
Sound, velocity of 106
Sound, waves 104—116
Source, moving 149
Springs and bars, longitudinal waves in 61—77
Springs and bars, vibration of 71
St Venant's Principle 164
Stationary waves 6 45 51 61 63 68 92 111
Strings, normal modes 44
Strings, waves on 35—56
Superposition, principle of 6 150 155 157
Surface, free 81 98
Surface, tension 81 98
Surface, waves in liquids 81 90—97
Telegraphy, equation of 15 17 32 42 134
Tidal waves 81—89
Time of relaxation 124
Tone 48
Tone, combination 152
Total or internal reflection 132
Transmission coefficient 41 131 136
Transverse waves 35 59 124
Transverse waves, electric TE 141
Transverse waves, Electromagnetic TEM 141
Transverse waves, magnetic TM 141
Undisturbed region 189
Uniqueness 54 65
Vector, Poynting 120 126 138
Velocity of light 121
Velocity of sound 106
Velocity, groups 97 152 155 157
Velocity, potential 79 90 104 109
Velocity, wave 153
Vibrations, degenerate 62
Wave in bars and springs 67—77
Wave in inhomogeneous medium 171 177
Wave in liquids 79—101
Wave in membranes 59—65
Wave on strings 35—56
Wave, capillary 98—100
Wave, electric 118—145
Wave, equation 5 23
Wave, harmonic 2 16—18
Wave, lattice 74
Wave, long, in shallow water 81
Wave, longitudinal 35 67—77 104
Wave, motion, equation of 1—30
Wave, number 3
Wave, packet 155
Wave, plane 4
Wave, profile 1
Wave, progressive 6 13 37 40 41 43 53 84 88 91 94 99 112 114 124—138
Wave, reduction to a steady 53 88
Wave, relatively undistorted 18
Wave, shock 207 210 215
Wave, simple 200 203
Wave, sound 104—116
Wave, stationary 6 45 51 61 63 68 92 111
Wave, Steepening 184
Wave, surface 81 90—97
Wave, tidal 81—89
Wave, transverse 35 59 124
Wave, velocity 153
Wavefront 4 189
Wavefront, bounding constant state 191
Wavefront, physical 189
Wavefront, solution surface 189
Wavefront, trace 189
waveguide 139
Wavelength 2
Wavelength, cutoff 144
Wavelength, freespace 144
Wavelength, guide 144
WKBJ method 171 177
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