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Coulson C.A. — Waves: a mathematical approach to the common types of wave motion
Coulson C.A. — Waves: a mathematical approach to the common types of wave motion



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Название: Waves: a mathematical approach to the common types of wave motion

Автор: Coulson C.A.

Язык: en

Рубрика: Физика/Колебания и волны/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 1977

Количество страниц: 229

Добавлена в каталог: 15.08.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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