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Mishchenko M.I. Scattering, Absorption, and Emission of Light by Small Particles
Mishchenko M.I.  Scattering, Absorption, and Emission of Light by Small Particles









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: Scattering, Absorption, and Emission of Light by Small Particles

: Mishchenko M.I.

:

This thorough and up-to-date treatment introduces the general formalism of scattering, absorption, and emission of light and other electromagnetic radiation by arbitrarily shaped and arbitrarily oriented particles. It discusses the relation of the radiative transfer theory to single-scattering solutions of Maxwell's equations and describes in detail exact theoretical methods and computer codes for calculating scattering, absorption, and emission properties of arbitrarily shaped particles.


: en

: /

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ed2k: ed2k stats

: 2002

: 462

: 29.06.2005

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Absorption      3 11 58
Absorption coefficient      15
Aggregated particles      see particles aggregated
Alexander's dark band      259
Amplitude rotation transformation law for      46
Amplitude scattering matrix      3738 118
Amplitude scattering matrix backscattering      94
Amplitude scattering matrix backscattering theorem for      4142
Amplitude scattering matrix circular-polarization      106
Amplitude scattering matrix circular-polarization for spherically symmetric particles      141
Amplitude scattering matrix for rotationally symmetric particles      183
Amplitude scattering matrix for spherically symmetric particles      139140
Amplitude scattering matrix forward-scattering      9193
Amplitude scattering matrix reciprocity relation for      41 84
Amplitude scattering matrix symmetry properties of      8485
Amplitude scattering matrix translation transformation law for      6667
Angle azimuth      16
Angle polar      16
Angle scattering      60 83 87
Angle zenith      see angle polar
Angular frequency      5 10
Anomalous diffraction approximation      see approximation anomalous
Approximation anomalous diffraction      210
Approximation Born      see approximation Rayleigh
Approximation effective-medium      350
Approximation eikonal      210
Approximation geometrical optics      210221 258260 264265 320325
Approximation high-energy      210
Approximation Kirchhoff      212 220
Approximation ray optics      see approximation
Approximation ray-tracing      see approximation geometrical optics
Approximation Rayleigh      206209 264
Approximation Rayleigh Debye      see approximation Rayleigh Gans
Approximation Rayleigh Gans      35 20910 256 264 271
Approximation Rayleigh Gans Stevenson      207
Approximation scalar      109
Approximation single-scattering      6
Approximation Wentzel Kramers Brillouin      210
Aspect ratio      73 192 290
Asymmetry parameter      60 96 101 105 295 299300 304 309 327 340 344 350351
Asymmetry parameter for spherically symmetric particles      142 239 242243 245 256257
Averaging ensemble      7273 159160 334337
Averaging orientation      7273 172173 334337 338 344
Averaging orientation analytical      121 127 131 134 186 199 201
Averaging orientation effects of      279282
Averaging orientation numerical      134 137 186
Averaging shape      7273 334337
Averaging size      7273 159161 172173 335
Averaging size effects of      250252 279282 341
Axis ratio for spheroids      171
Azimuth angle      16
Backscatter-to-extinction ratio      267 270 292 295 303 308
Backscattered fraction      299300 305
Backscattering      7 9495 99 267271 320321
Backscattering depolarization ratio circular      100 228 295296 307 310 339 342 352 356358
Backscattering depolarization ratio linear      100 228 295297 307 309 339 342 352358
Backscattering theorem      4142 54
Benchmark results      180182 189 203-204
Bessel functions, asymptotic form for      360
Bessel functions, spherical      167169 360 370
Bispheres      see clusters two-sphere
Blackbody energy distribution      63
Blackbody Stokes column vector      65 98
Blue moon      250
Born approximation      see approximation Rayleigh
boundary conditions      5 7 910 78 113 145 191 192 196
Boundary conditions absorbing      194 195
Boundary-matching method      196197
Brewster angle      272
Bulk matter      32
Bulk matter optical constants of      32
Charge density      9
Charge density surface      10
Chebyshev particles      171172 182 185 319
Chebyshev particles generalized      182 185
Cirrus clouds      see ice clouds
Clebsch Gordan coefficients      128 131 141 369 380383
Clebsch Gordan expansion      128 141 368
Clusters      5 80 154
Clusters of spheres      156 190 201 337347
Clusters of spheroids      201
Clusters two-sphere      7476 8081 186189 203-204 337345 357358
Coherency matrix      17
Coherency matrix, additivity of      28
Coherency vector      17 50 5455
Coherent backscattering      7 42 7982 220
Completely polarized light      see fully polarized light
Composite particles      154158
Computer codes      158190 193 195 199 205 214
Condensation trails (contrails)      353355
Conductivity      9
Constitutive relations      9 117
Continuity equation      9
Coordinate system Cartesian      15
Coordinate system device      130
Coordinate system laboratory      4246 119 130
Coordinate system particle      4246 119
Coordinate system right-handed      1516
Coordinate system spherical      1516
Coupled dipole method      see discrete dipole approximation
Cross section absorption      5758 227228 254255 294 299 302 340 343
Cross section average      71 97
Cross section backscattering      267
Cross section differential scattering      59
Cross section extinction      5759 119 227 294295 299 300 339-340 343
Cross section extinction average      70 93
Cross section extinction for randomly oriented particles      132133
Cross section extinction for spherically symmetric particles      140
Cross section geometrical      59
Cross section radar backscattering      267
Cross section radiation-pressure      62
Cross section radiation-pressure average      71 97
Cross section scattering      5758 119 294 299 301 340 343
Cross section scattering average      69 71 96
Cross section scattering for macroscopically isotropic and mirror-symmetric media      9596
Cross section scattering for randomly oriented particles      138-139
Cross section scattering for spherically symmetric particles      140
Current density      9
Current density surface      10
Cylinders circular      171172 185 203-204 210 213 215220 299310
Cylinders circular with extreme aspect ratios      221222 315318
Cylinders hexagonal      146 210 213 320322 350
Delta-function transmission      218220
Density matrix      see coherency matrix
Depolarization      54 100
Dichroism      3 56 78
Differential equation methods      191
Diffraction      see Fraunhofer diffraction
Dirac delta function solid-angle      41
Dirac delta function three-dimensional      33
Direct scattering problem      237 351
Discrete dipole approximation      198199 203 205
Discretized Mie formalism      205 222
Dyad      34
Dyadic      3334
Dyadic transition operator      35
Dyadic transition operator integral equation for      35
Effective radius      161 285287
Effective size parameter      250 286
Effective variance      161 251252 285287
Effective-medium approximation      350
Efficiency factor for absorption      59 97 254255
Efficiency factor for backscattering      267 269 292 295
Efficiency factor for extinction      59 97 238247 253-254 309 312
Efficiency factor for radiation pressure      62 97 257258 309 312
Efficiency factor for scattering      59 97 253-254
Eikonal approximation      210
Electric displacement      9
electric field      9
Electric permittivity      9
Electric polarization      9
Electric susceptibility      9
Electromagnetic wave      3 12
Electromagnetic wave circular components of      105
Emission column vector, average      71 78 98
Emission column vector, Stokes      6365
Emission, thermal      3 6366 9798
Energy conservation law      11 37 122
Ensemble averaging      7273 159160 334337
Equilibrium, thermal      6365
Euler angles      42 119120 367
Ewald Oseen Extinction Theorem      115
Extended boundary condition      144
Extended boundary condition method      115 142147 196
Extended boundary condition method convergence of      150153 170171 178180
Extended boundary condition method for rotationally symmetric particles      148150
Extended boundary condition method iterative      152 205
Extended boundary condition method multiple-multipole      152
Extinction      3 58 78
Extinction matrix circular-polarization      56
Extinction matrix circular-polarization reciprocity relation for      56
Extinction matrix coherency      55
Extinction matrix coherency reciprocity relation for      56
Extinction matrix modified Stokes      56
Extinction matrix modified Stokes reciprocity relation for      56
Extinction matrix Stokes      5556
Extinction matrix Stokes average      70 78
Extinction matrix Stokes for axially oriented particles      127132
Extinction matrix Stokes for macroscopically isotropic and mirror-symmetric media      9193
Extinction matrix Stokes reciprocity relation for      56 71
Extinction matrix Stokes symmetry property of      56
Extinction-to-backscatter ratio      267
Far-field zone      5 3538
Finite-difference method      194 205
Finite-difference time-domain method      195196 205 321
Finite-element method      193195 205
Fraunhofer diffraction      212213 220 227 258259
Fredholm integral equation method      200 205
Fully polarized light      27 54
Gaussian random spheres      328
Generalized spherical functions      103 107 366367
Geometrical optics approximation      210221 258260 264265 320325
Glory      260 264
Green's function dyadic, free space      3336 377
Green's function scalar      3436
Green's vector theorem      142
Halos      320322 350
Hankel functions      169 370
Helmholtz equation scalar      371
Helmholtz equation vector      193 205 372373
Homogeneous wave      13
Huygens' principle      115
Hydrometeors nonspherical      100 127 352
Hydrometeors partially aligned      100
Ice clouds      321 322 352 354355 358
Identity dyadic      33 36
Incident field      31 33 47 116
Independently scattering particles      6 74
Inhomogeneous wave      13
Integral equation methods      191 197200
Intensity of light      15 18
Interference of light      7 58 79 343 344
Interference structure      240 250251 279282
Interstellar dust grains      100 127
Interstellar polarization      99 351
Inverse scattering problem      237 351
Irradiance      see intensity
Irregular particles      322334
Jacobi polynomials      364
Kirchhoff approximation      212 220
Koch fractals      325 327
Koch fractals random      325328
Kronecker delta      363
Legendre functions, associated      140 360 366 374
Legendre polynomials      360 365
Levitation electrostatic      273 358
Levitation optical      60 228 273
Lidars      228 352 355
Lippmann Schwinger equations      35
Lorenz Mie coefficients      122 153154
Lorenz Mie computer code      158165 238
Lorenz Mie identities      100 352
Lorenz Mie scattering matrix      99
Lorenz Mie theory      99 114 115 139142 238
Magnetic field      9
Magnetic induction      9
Magnetic permiability      9
magnetization      9
Maxwell equations      5 89 32 77 78 113 191 195
Maxwell equations, linearity of      37 39 117
Maxwell equations, plane-wave solution of      1215
Maxwell stress tensor      60
Measurement techniques for scattering      224233
Measurement techniques for scattering using microwaves      224 230233
Measurement techniques for scattering using visible and infrared light      113 224230 273274 329334 345 351358
Measurement techniques for scattering using visible and infrared light two-dimensional angular      230 351352
Meridional plane      16 23 38 83 88
Method of moments      198199 205
Microwave analog technique      113 147 230233
Microwave measurement techniques      224 230233
Mineral particles      329339
Monochromatic light      3 12
Monodisperse particles      165 177 238250 279282 335 341
natural light      see unpolarized light
Near-field effects      80
Nonsphericity, effects of      99100 279282
Null-field method      115
Null-field method with discrete sources      152
Optical equivalence principle      18 28
Optical theorem      49 56 58 207
Orientation angle of the polarization ellipse      20
Orientation averaging      see averaging orientation
Orientation distribution      7273
Orientation distribution axially symmetric      73 127
Orientation distribution random      73
Orientation of the scattering object      see particle orientation
Outgoing wave      34 36 371 374
Parallel beam of light      3 12
Particle characterization, optical      7 82 229230 249 273278 350358
Particle collection      5 68
Particle collection, tenuous      7
Particle orientation      42
Particle orientation effects of      99100 279282
Particle shapes      171172 182 283 322 325 330
Particles absorbing      124 216
Particles aggregated      154158
Particles Chebyshev      171172 182 185 319
Particles Chebyshev generalized      182 185
Particles clay      329332
Particles composite      154158
Particles dust      355356
Particles feldspar      329331
Particles fly ash      345 348
Particles independently scattering      6 74
Particles irregular      322334
Particles loess      329331 335
Particles mineral      329339
Particles monodisperse      165 177 238250 279282 335 341
Particles nonabsorbing      122125 139 152
Particles polydisperse      158 165 250273 282310 345 354 356
Particles polyhedral      146 213 320323
Particles quartz      329331 333
Particles randomly and sparsely distributed      6871 75 77
Particles randomly oriented      73 87 100 132139
Particles randomly shaped      322
Particles rotationally symmetric      46 93 102 121 125 129 133 135 138 148150 165 169 171172 180
Particles Sahara sand      329331 337
Particles spherical      9899 102 122 139142 158 214216 238278
Particles spherical anisotropic      222
Particles spherical Faraday-active      221
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