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| Àâòîðèçàöèÿ |
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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 |
(P — N) method Polarization, importance of accounting for, in equation of transfer 136—43
Absorption coefficient 5—6 158 160—77
Absorption coefficient for hydrogen-like atoms 167
Absorption coefficient, average 89 94
Absorption coefficient, bound-bound 174—7
Absorption coefficient, bound-free 164—73
Absorption coefficient, Elsasser band 102—3
Absorption coefficient, free-free 174
Absorption coefficient, generalized Planck and Rosseland means 97—102
Absorption coefficient, in terms of Einstein coefficients 161—3
Absorption coefficient, Lorentz transformation of 155—6 272-4
Absorption coefficient, Planck mean 92
Absorption coefficient, Rosseland mean 88 91—92
Addition theorem 18 37
Addition theorem for Legendre polynomials 18
Addition theorem, Gegenbauer, for Bessel functions 37
Additivity of Stokes parameters 114—16
Adjoint operator 41
Anisotropic scattering 7
Anisotropic scattering, Compton scattering 181—2 183—91
Anisotropic scattering, in asymptotic analysis 56 61 139—43
Anisotropic scattering, in Eddington approximation 54 139
Anisotropic scattering, in spherical harmonic method 71—74 78
Anisotropic scattering, Thomson scattering 131—4 180
Approximate descriptions of radiative transfer 51— 105
Approximate descriptions of radiative transfer Eddington approximation 51—55
Approximate descriptions of radiative transfer, diffusion approximations 51—71
Approximate descriptions of radiative transfer, discrete ordinate method 84—86
Approximate descriptions of radiative transfer, equilibrium diffusion theory 86—88
Approximate descriptions of radiative transfer, multigroup methods 88—105
Approximate descriptions of radiative transfer, P — N method 71—83
Approximate descriptions of radiative transfer, S — N method 84—86
Approximate descriptions of radiative transfer, spherical harmonic method 71—83
Asymptotic analysis of Fokker — Planck eigenvalue problem 201—5
Asymptotic diffusion theory 64—71
Asymptotic diffusion theory, angular distribution 56
Asymptotic diffusion theory, anisotropic scattering 56 61 139—43
Asymptotic diffusion theory, boundary conditions 61—62
Asymptotic diffusion theory, diffusion coefficient 57
Asymptotic diffusion theory, Fick’s law of diffusion 61
Asymptotic diffusion theory, initial condition 61
Asymptotic solution of multifrequency equation of transfer 97—100
Average ion model 168—71
Average radiation pressure 5
B — N method 93
Bessel function addition theorem 37
Blue shift in inverse Compton scattering 183—4
Boltzmann constant 2
Boltzmann law 46 162
Bound-bound absorption coefficient 174—7
Bound-bound absorption coefficient, broadening of lines 176—7
Bound-bound absorption coefficient, classical cross section 174—5
Bound-bound absorption coefficient, oscillator strength 175—7
Bound-free absorption coefficient 164—73
Bound-free absorption coefficient for hydrogen-like atoms 168
Bound-free absorption coefficient, average ion model 168—71
Bound-free absorption coefficient, Gaunt factor for 168—71
Bound-free absorption coefficient, ionic model 171
Boundary conditions on equation of transfer 15— 16
Boundary conditions on equation of transfer in the discrete ordinate (S — N) method 84—85
Boundary conditions on equation of transfer in the Eddington approximation 52—54
Boundary conditions on equation of transfer Marshak 53 73—74
Boundary conditions on equation of transfer, free surface 16
Boundary conditions on equation of transfer, in asymptotic diffusion theory 61—62
Boundary conditions on equation of transfer, in the spherical harmonic (P — N) method 73—74 78—79
Boundary conditions on equation of transfer, Mark 53 73
Boundary conditions on equation of transfer, vacuum 16
Boundary conditions on equation of transfer, variational 54 74
Cartesian coordinate equation of transfer 23—24
Circularly polarized light 112
Coefficient of scattering 6 158—60 179—80
Coefficient of scattering, classical 179—80
Coherent scattering 7
Coherent scattering, Thomson scattering 131—4 180
Commutation rule for Lagrangian time derivative and integral over space 233—4
Compton 181—2 183—91
Compton scattering 181—2 183—210
Compton scattering, Fokker — Planck treatment 191—6
Compton scattering, scattering from moving electrons 183
Compton scattering, scattering kernel for scattering from a Maxwellian distribution 184—91
Compton scattering, the eigenvalue problem for no absorption 197 201
Compton scattering, the eigenvalue problem with absorption 201— 10
Compton, fluorescent 159 180
Compton, Lorentz transformation of 155—6 272-4
Compton, Raman 159
Compton, resonance 159 180
Compton, Thomson 131—4 180
Confluent hypergeometric equation 199
Conservative scattering 7
Continuous absorption coefficient 174
Cross sections 157—82
Cross sections, absorption 5—6 158
Cross sections, average 89 94
Cross sections, bound-bound absorption 174—7
Cross sections, bound-free absorption 164—73
Cross sections, classical scattering 179—80
Cross sections, Compton 183—91
Cross sections, Elsasser band 102—3
Cross sections, fluorescent scattering 159 180
Cross sections, free-free absorption 174
Cross sections, Lorentz transformation of 155—6 272-4
Cross sections, Planck mean 92
Cross sections, Raman scattering 159
Cross sections, resonance scattering 159 180
Cross sections, Rosseland mean 88 91—92
Cross sections, scattering 6—8 158—60 177-82
Cross sections, Thomson 131—4
Cross sections, transport 54
Cylindrical geometry equation of transfer, integro-differential 21—23 25—26
Cylindrical geometry equation of transfer, Peierls’ equation 36—38
Degeneracy of states 162—3 167
Density of fluid 212—19
Derivation of equation of transfer, Eulerian 10—13
Derivation of equation of transfer, integral 27—30
Derivation of equation of transfer, Lagrangian 13—15
Derivation of equation of transfer, Peierls 31—39
Derivation of equation of transfer, with dispersion and refraction 149—53
Derivation of equation of transfer, with induced (stimulated) processes 44—47
Derivation of equation of transfer, with polarization 121—31
Derivation of equation of transfer, with relativistic effects 154—6
Detailed balance condition 184
Differential scattering coefficient 7 177—82
Differential scattering coefficient, Compton 181—2 183—91
Differential scattering coefficient, expansion in Legendre polynomials 17
Differential scattering coefficient, Lorentz transformation of 155—6 272-4
Differential scattering coefficient, Thomson 131—4 180
Diffraction of light 48
Diffusion approximations 51—71
Diffusion approximations with Thomson scattering 136—42
Diffusion approximations, asymptotic 55—63
Diffusion approximations, Eddington 51—55
Diffusion approximations, equilibrium 86—88
Diffusion approximations, new 64—71
Diffusion coefficient, asymptotic 57
Diffusion coefficient, Eddington 55
Diffusion coefficient, with Thomson scattering 136—42
Discontinuity in energy density 70
Discrete ordinate method 84—86
Discrete ordinate method Gauss quadrature 85
Discrete ordinate method, boundary conditions 84—85
Discrete ordinate method, equivalence to spherical harmonic method 85
Discrete ordinate method, flux 85
Discrete ordinate method, in curvilinear coordinates 85—86
Discrete ordinate method, initial conditions 84
Discrete ordinate method, pressure 85
Discrete ordinate method, quadrature methods 84
Discrete ordinate method, ray effects 86
dispersion 49 144—53
Dispersion Hamilton’s equations for photons 144—9
Dispersion relationship 144—5
| Dispersion, dispersion relationship 144—5
Dispersion, equation of transfer with dispersion and refraction 149—53
Dispersion, group velocity 145
Dispersion, refractive index 146
Distribution function for fluid 212
Distribution function for photons 1 20—21
Distribution function, Lorentz transformation of 155—6 267—72
Divergence of a dyad, Eulerian 223 225—6 229
Divergence of a dyad,, Lagrangian 253 256 261
Doppler shift in Compton and inverse Compton scattering 183—4
Dyad unit 55
Dyad, Eulerian divergence of 223 225—6 229
Dyad, Lagrangian divergence of 253 256 261
Eddington approximation 51—55
Eddington approximation for Thomson scattering 136—42
Eddington approximation, angular distribution 51
Eddington approximation, boundary conditions 52—54
Eddington approximation, diffusion coefficient 55
Eddington approximation, Fick’s law of diffusion 54
Eddington approximation, initial conditions 52
Eddington approximation, transport coefficient 54
Effective absorption coefficient 46—47 163 174
Effective absorption coefficient, Lorentz transformation of 155—6 272-4
Eigenfunction expansion of Fokker — Planck operator 197—210
Eigenfunction expansion of Fokker — Planck operator with absorption 201—10
Eigenfunction expansion of Fokker — Planck operator without absorption 197—201
Eigenvalue spectrum of Fokker — Planck operator 200 206
Einstein coefficients 160—4
Elliptically polarized light 107—12
Elliptically polarized light, decomposition of light into 119—20
Elliptically polarized light, oppositely polarized 118
Elliptically polarized light, Stokes parameters for 110
Elsasser band 102—5
Energy density of radiation field 2
energy levels 158—9
Energy levels, fine structure 172—3
Energy levels, in average ion model 168—71
Energy of fluid 212—19
Energy of photon 1 269
Energy-momentum tensor 211—12
Equation of transfer 10—49
Equation of transfer Cartesian geometry 23—24
Equation of transfer for polarized light 121—43
Equation of transfer with dispersion and refraction 149—53
Equation of transfer with relativistic effects 154—6
Equation of transfer, approximations to 50—105
Equation of transfer, boundary conditions 15—16
Equation of transfer, cylindrical geometry 21—23 25—26
Equation of transfer, Eulerian derivation 10—13
Equation of transfer, induced processes 44—47
Equation of transfer, integral form 27—30
Equation of transfer, Lagrangian derivation 13—15
Equation of transfer, Lorentz transformation of 267—74
Equation of transfer, Peierls’ equation 31—39
Equation of transfer, planar geometry 16—19
Equation of transfer, spherical geometry 19—21 24—25
Equation of transfer, validity of 47—49
Equation of transfer, variational characterization 39—44
Equilibrium diffusion theory 86—88
Equilibrium diffusion theory, as solution of equation of transfer 87
Equilibrium diffusion theory, flux 87
Equilibrium diffusion theory, pressure 87
Equilibrium diffusion theory, Rosseland mean transport coefficient 88
Equivalence of two streams of light 113—14
Eulerian derivation of equation of transfer 10—13
Eulerian hydrodynamics 219—32
Eulerian hydrodynamics, Cartesian geometry, nonrelativistic 224—5
Eulerian hydrodynamics, Cartesian geometry, relativistic 223—4
Eulerian hydrodynamics, cylindrical geometry, nonrelativistic 228
Eulerian hydrodynamics, cylindrical geometry, relativistic 227—8
Eulerian hydrodynamics, derivation of equations 219—21
Eulerian hydrodynamics, divergence of a dyad 223 225—6 229
Eulerian hydrodynamics, integral form 221—2
Eulerian hydrodynamics, nonrelativistic limit 222
Eulerian hydrodynamics, relativistic 230—1
Eulerian hydrodynamics, spherical geometry nonrelativistic 231
Exponential integral 35
Fermi energy 166
Fermi — Dirac statistics 165
Fick’s law of diffusion 54 57 61
Fine structure of energy levels 172—3
Fluid density, energy, pressure, velocity 212—19
Fluid rest frame 155 212
Fluorescent scattering 159 180
Flux of radiation 3 217—18
Flux of radiation, in asymptotic diffusion approximation 63
Flux of radiation, in discrete ordinate (S — N) method 84
Flux of radiation, in Eddington approximation 54
Flux of radiation, in equilibrium diffusion theory 87
Flux of radiation, in multigroup method 93
Flux of radiation, in spherical harmonic (P — N) method 79
Fokker — Planck treatment of scattering 191—210
Fokker — Planck treatment of scattering, basic formulation 191—6
Fokker — Planck treatment of scattering, eigenvalue problem with absorption 201—10
Fokker — Planck treatment of scattering, eigenvalue problem with no absorption 197—201
Fokker — Planck treatment of scattering, numerical methods for 201—10
Free surface boundary condition 16
Free-free absorption coefficient 174
Free-free absorption coefficient, Gaunt factor for 174
Functional derivative 40
Gamma function 200
Gaunt factor bound-free 168 171
Gaunt factor bound-free free-free 174
Gauss quadrature 84
Gegenbauer addition theorem for Bessel functions 37
Generalized Planck and Rosseland means 97— 102
Gray equation of transfer 89 93—96
Group constants 90—91
Group velocity 145
Hamilton’s equations for photons 144—9
Heavy electron model of scattering see Fokker- Planck treatment of scattering
Helmholtz equation 63 99
Homogeneous radiation field 2
Hydrodynamics in the presence of radiation 211 65
Hydrodynamics in the presence of radiation, Eulerian 219—36
Hydrodynamics in the presence of radiation, kinetic theory considerations 212—19
Hydrodynamics in the presence of radiation, Lagrangian 245—65
Hydrodynamics in the presence of radiation, Modified Eulerian 236—45
Ideal fluid 211—12
Independent streams of light 114—16
Induced processes see Stimulated processes
Initial conditions on equation of transfer 16
Initial conditions on equation of transfer, in asymptotic diffusion approximation 61
Initial conditions on equation of transfer, in discrete ordinate (S — N) method 84
Initial conditions on equation of transfer, in Eddington approximation 52
Initial conditions on equation of transfer, in spherical harmonic (P — N) method 73 78
Inscattering of radiation 12
Inscattering of radiation for polarized light 123
Inscattering of radiation, Lorentz transformation of 155—6 272-4
Integral equation of transfer 27—31
Integral equation of transfer, Peierls’ equation of transfer 31—39
Interference between photons 48 114—16
Inverse Compton scattering see Compton scattering
Ionic model for absorption coefficients 171
Ionization potential 164—5
Isotropic fluid distribution function 212
Isotropic radiation field 2
Isotropic scattering 7
Jacobian in Lagrangian hydrodynamics 247 258 264
Jacobian of transformation 187 247 256 260 270
Kernel for scattering 7
Kernel for scattering, Compton 181—2 183—91
Kernel for scattering, expansion in Legendre polynomials 17
Kinetic theory 212—19
Kinetic theory, average velocity 212
Kinetic theory, fluid rest frame 212
Kinetic theory, isotropic distribution function 212
Kinetic theory, material pressure 213
Kinetic theory, particle density 212—14
Kinetic theory, particle energy density 215
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