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| Ïîèñê ïî óêàçàòåëÿì |
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| Pomraning G.C. — The equations of radiation hydrodynamics |
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| Ïðåäìåòíûé óêàçàòåëü |
Kinetic theory, particle energy flux 217
Kinetic theory, particle flux 215—16
Kinetic theory, particle momentum density 214—15
Kinetic theory, particle momentum flux 216—17
Kinetic theory, radiation quantities 217—218
Klein — Nishina formula 181—2
Lagrange multipliers 39
Lagrangian derivation of equation of transfer 13— 15
Lagrangian hydrodynamics 245—65
Lagrangian hydrodynamics, Cartesian geometry, nonrelativistic 254—5
Lagrangian hydrodynamics, Cartesian geometry, relativistic 254
Lagrangian hydrodynamics, change of variables from Eulerian picture 245—6
Lagrangian hydrodynamics, cylindrical geometry, nonrelativistic 259—60
Lagrangian hydrodynamics, cylindrical geometry, relativistic 259
Lagrangian hydrodynamics, derivation of equations 246—51
Lagrangian hydrodynamics, divergence of a dyad 253 256 261
Lagrangian hydrodynamics, fundamental Lagrangian relations 249
Lagrangian hydrodynamics, Lagrangian Jacobian 247 258 264
Lagrangian hydrodynamics, Lagrangian time derivative 232 246
Lagrangian hydrodynamics, nonrelativistic limit 252
Lagrangian hydrodynamics, solution of continuity equation 249
Lagrangian hydrodynamics, spherical geometry, nonrelativistic 265
Lagrangian hydrodynamics, spherical geometry, relativistic 264—5
Lagrangian time derivative in equation of transfer 14
Lagrangian time derivative in equations of hydrodynamics 232 246
Lagrangian time derivative, commutation rule 233—4
Laguerre polynomials 207
Legendre polynomials 18
Linearly polarized light 112
Local thermodynamic equilibrium 46—47 158
Lorentz transformation of 155—6 272-4
Lorentz transformation of equation of transfer 267—74
Lorentz transformation of equation of transfer, basic Lorentz transformation 268
Lorentz transformation of, Thomson 131—4 180
Macroscopic absorption coefficient 5
Macroscopic absorption coefficient, Lorentz transformation of 155—6 272-4
Mark boundary condition 53 73
Marshak boundary condition 53 73—74
Mass absorption coefficient see Absorption coefficient
Maxwellian distribution 187—8
Mean free path 7
Microscopic absorption coefficient 6 (see also Absorption coefficient)
Microscopic absorption coefficient, Cartesian geometry nonrelativistic 239—40
Microscopic absorption coefficient, commutation rule for Lagrangian time derivative and integral over space 233—4
Microscopic absorption coefficient, cylindrical geometry, nonrelativistic 241—2
Microscopic absorption coefficient, cylindrical geometry, relativistic 240—1
Microscopic absorption coefficient, derivation of equations 232—3
Microscopic absorption coefficient, integral form 233—5
Microscopic absorption coefficient, Lagrangian time derivative 232
Microscopic absorption coefficient, nonrelativistic limit 235
Microscopic absorption coefficient, relativistic 238—9
Microscopic absorption coefficient, spherical geometry, nonrelativistic 241—2
Microscopic absorption coefficient, spherical geometry, relativistic 242—3
Modified Eulerian hydrodynamics 232—44
Momentum of photon 1 269
Moving medium effects see Relativistic effects on the equation of transfer
Multigroup methods 88—105
Multigroup methods, average absorption coefficient 89 94
Multigroup methods, B — N method 93
Multigroup methods, classical multigroup equations 89—93
Multigroup methods, Elsasser band 102—5
Multigroup methods, flux 93
Multigroup methods, generalized Planck and Rosseland means 97— 102
Multigroup methods, Gray equation 89 93—96
Multigroup methods, group constants 90—91
Multigroup methods, new multigroup method 93—105
Multigroup methods, Planck mean 92
Multigroup methods, pressure 93
Multigroup methods, Rosseland mean 91—92
Natural (unpolarized) light 116—17
Non-re-entrant surface 15—16
Nonrelativistic equations of hydrodynamics see Eulerian hydrodynamics; Lagrangian hydrodynamics; Modified Eulerian hydrodynamics
Numerical methods for Fokker — Planck eigenvalue problem 201—10
One group equation of transfer see Gray equation of transfer
Oppositely polarized streams of light 118
Optical distance 29
Optical path length 29
Optically thin systems 92
Oscillator strengths 175—7
Oscillator strengths, relation to Einstein coefficients 175—6
Outscattering of radiation 12
Outscattering of radiation, Lorentz transformation of 155—6 272-4
P — N method see Spherical harmonic
Partially polarized light 113—21
Partially polarized light, decomposition into elliptically polarized streams 119—20
Partially polarized light, equation of transfer for 121—43
Partially polarized light, equivalence of two streams 113—14
Partially polarized light, Stokes parameters for 114
Partition function 165
Path length derivative 14 16 19 22 30 153
Pauli principle 46
Peierls’ equation 31—39
Peierls’ equation, cylindrical geometry 36—38
Peierls’ equation, plane geometry 32—35
Peierls’ equation, spherical geometry 35—36
Phase function see Kernel for scattering
Phase space, basic cell 45
Photoelectric absorption see Bound-free absorption coefficient
Photon 1 47—49
Photon, as bosons 44
Photon, energy of 1 269
Photon, Hamilton’s equations for 144—9
Photon, momentum of 1 269
Photon, source of 8—9
Photon, velocity of 1 144—5
Planck function 3—4 47 162
Planck mean 92
Planck mean, generalized Planck mean 97—102
Plane geometry equation of transfer with Thomson scattering for polarized light 135—6
| Plane geometry equation of transfer, integro-differential equation 16—19
Plane geometry equation of transfer, Peierls’ equation 32—35
Polarized light 49 106—43
Polarized light, circular polarization 112
Polarized light, decomposition into elliptically polarized streams 119—20
Polarized light, elliptically 107—13
Polarized light, equation of transfer for 121—43
Polarized light, equivalence of two streams 113—14
Polarized light, independent streams of 114—16
Polarized light, linear polarization 112
Polarized light, natural light 116—17
Polarized light, oppositely polarized streams 118
Polarized light, partially polarized 113—21
Polarized light, Stokes parameters for see Stokes parameters
Polarized light, Thomson scattering of 131—43
Pressure of fluid 212—19
Pressure of radiation 4—5 217—18
Pressure of radiation, in asymptotic diffusion theory 63
Pressure of radiation, in equilibrium diffusion theory 87
Pressure of radiation, in the discrete ordinate (S — N) method 84
Pressure of radiation, in the Eddington approximation 55
Pressure of radiation, in the multigroup method 93
Pressure of radiation, in the spherical harmonic (P — N) method 80
Quadrature methods 84
Radiation constant 3
Radiation field 1—5 217—18
Radiation field, average pressure 5
Radiation field, distribution function 1
Radiation field, energy density 2 217—18
Radiation field, flux 3 217—18
Radiation field, homogeneous 2
Radiation field, isotropic 2
Radiation field, Lorentz transformation of 270—2
Radiation field, Planck function 3—4
Radiation field, pressure 4—5 217—18
Radiation field, specific intensity 2
Raman scattering 159
Ray effects in discrete ordinate (S — N) method 86
Rayleigh scattering 159 180
Red shift in Compton scattering 183—4
Reflection of photons 48
Refraction see Dispersion
Refractive index 146
Relativistic effects on the equation of transfer 49 154—6 267—74
Relativistic effects on the equation of transfer, Lorentz transformation of equation of transfer 155—6 267—74
Relativistic equations of hydrodynamics see Eulerian hydrodynamics; Lagrangian hydrodynamics; Modified Eulerian hydrodynamics
Resonance scattering 159 180
Rosseland mean 88 91—92
Rosseland mean, generalized Rosseland mean 97—102
S — N method see Discrete ordinate method
Saha equation 46 164—5 167
Scattering 179—80
Scattering kernel see Kernel for scattering
Scattering, classical 179—80
Scattering, coefficient 6 179—80
Scattering, coherent 7 180
Scattering, Compton 181—2 183—210
Scattering, conservative 7
Scattering, differential 6
Scattering, fluorescent 159 180
Scattering, isotropic 7
Scattering, kernel 7 177—9
Scattering, Lorentz transformation of 155—6 272-4
Scattering, Raman 159
Scattering, Rayleigh 159 180
Scattering, resonance 159 180
Scattering, Thomson 131—4 180
Schwartz inequality 102
Slater serening constants 168—9
Source of photons 8—9
Source of photons in terms of Einstein coefficients 161
Specific intensity 2 151
Specific intensity, Lorentz transformation of 270—2
Spherical geometry equation of transfer, integro-differential 19—21 24—25
Spherical geometry equation of transfer,, Peierls’ equation 35—36
Spherical harmonic (P — N) method 71—83
Spherical harmonic (P — N) method, boundary conditions 73—74 78—79
Spherical harmonic (P — N) method, flux 79
Spherical harmonic (P — N) method, general geometry 76—80
Spherical harmonic (P — N) method, initial conditions 73 78
Spherical harmonic (P — N) method, plane geometry 71—75
Spherical harmonic (P — N) method, pressure 80
Spherical harmonic (P — N) method, spherical geometry 80—83
Spherical harmonic (P — N) method, truncation methods 72 74—75 77—78
Spherical harmonics 76
Stefan — Boltzmann constant 3
Stimulated processes 44—46 160
Stokes parameters 110—31
Thomson for elliptically polarized light 110—12
Thomson for partially polarized light 114—21
Thomson scattering 131—43 180
Thomson scattering, diffusion approximation for 136—42
Thomson scattering, equation of transfer for 135—6
Thomson scattering, scattering kernel for polarized light 131—4
Thomson, additivity of 114—16
Thomson, law of transformation 124—6
Thomson, natural light 116—17
Thomson, Surface harmonics 76
Transformation law for Stokes parameters 124—6
Transport coefficient (cross section) 54
Transport equation see Equation of transfer
Truncation methods for spherical harmonic (P — N) equations 72 74—75 77—78
Uncertainty principle 48
Vacuum boundary condition 16
Validity of the equation of transfer 47—49
Variational boundary conditions 54—74
Variational characterization of equation of transfer 39—44
Velocity of fluid 212
Velocity of photon 1 144—5
Wien distribution 46 184 205 286
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