Light scattering in inhomogeneous atmospheres: with 54 tables
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 371 S. graph. Darst. |
| ISBN: | 3540613625 |
Internformat
MARC
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| 001 | BV010821801 | ||
| 003 | DE-604 | ||
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| 020 | |a 3540613625 |c Pp. : DM 128.00 |9 3-540-61362-5 | ||
| 035 | |a (OCoLC)633994841 | ||
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| 100 | 1 | |a Janovickij, Edgard G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Light scattering in inhomogeneous atmospheres |b with 54 tables |c Edgard G. Yanovitskij |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
| 300 | |a XVII, 371 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007232282&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805079470038581248 |
|---|---|
| adam_text |
EDGAR
D G. YANOVITSKIJ
LIGHT SCATTERING
IN INHOMOGENEOU
S
ATMOSPHERES
TRANSLATED BY SERGIJ GINSHEIMER
AN
D OLEG YANOVITSKIJ
WITH 37 FIGURES AN
D 54 TABLES
SPRINGER
CONTENTS
INTRODUCTIO
N 1
1. BASI
C CONCEPTS
, EQUATION
S AND PROBLEM
S
7
1.1 INTENSITY OF RADIATION 7
1.2 INTERACTION OF RADIATION WITH MATTER 8
1.3 RADIATIVE TRANSFER EQUATION 13
1.4 RADIATIVE TRANSFER EQUATION IN A STRATIFIED MEDIUM 16
1.5 THE PARALLEL EXTERNAL FLUX PROBLEM 18
1.5.1 AZIMUTHAL HARMONICS OF TH
E RADIATION INTENSITY 21
1.5.2 INTEGRAL EQUATION FOR TH
E SOURCE FUNCTION 22
1.6 THE MILNE PROBLEM 25
1.7 THE PROBLEM FOR TWO-SIDED INFINITY 27
1.8 RADIATION FLUX 28
1.9 CHARACTERISTICS OF RADIATION AT TH
E BOUNDARIES
OF AN ATMOSPHERE. THE PROBLEM OF DIFFUSE REFLECTION
AND DIFFUSE TRANSMISSION OF LIGHT 30
1.10 THE FLUX INTEGRAL AND
K
INTEGRAL 33
1.11 GREEN FUNCTION AND RECIPROCITY RELATIONS 35
1.12 INVARIANCE PRINCIPLES YY 37
PAR
T I. HOMOGENEOU
S ATMOSPHER
E
2. RADIATIO
N FIEL
D IN AN INFINITE ATMOSPHER
E
41
2.1 CONSERVATIVELY SCATTERING ATMOSPHERE 41
2.2 GENERAL CASE ' 42
2.3 CHARACTERISTIC EQUATION AND METHOD OF ITS SOLUTION 43
2.4. NORMALIZATION CONSTANT
M
46
2.5 RADIATION FIELD WITH NEARLY CONSERVATIVE SCATTERING 48
3
. SEMI-INFINITE MEDIU
M
51
3.1 INVARIANCE RELATION FOR TH
E PARALLEL EXTERNAL FLUX PROBLEM .
. 51
3.2 THE MILNE PROBLEM 53
X CONTENTS
3.3 RELATIONSHIP BETWEEN TH
E MILNE PROBLEM
AND TH
E PARALLEL EXTERNAL FLUX PROBLEM 54
3.4 COROLLARIES 56
3.5 AMBARTSUMIAN'S EQUATION FOR TH
E REFLECTION COEFFICIENT
AND A METHOD FOR ITS SOLUTION 58
3.6 SOME INTEGRAL RELATIONS INVOLVING ESCAPE FUNCTIONS 60
3.7 INTEGRALS OF TH
E TRANSFER EQUATION 62
3.8 SEPARATION OF VARIABLES. ANGULAR RELAXATION OF PHOTONS .
. 64
3.9 RADIATION FIELD IN DEEP ATMOSPHERE LAYERS 65
3.10 DOUBLING FORMULA. RADIATION FIELD
IN AN ATMOSPHERIC SURFACE LAYER 67
3.11 ATMOSPHERE WITH NEARLY CONSERVATIVE SCATTERING 75
3.11.1 INITIAL RELATIONS 76
3.11.2 RADIATION INTENSITY A
T TH
E BOUNDARY OF AN ATMOSPHERE 78
3.11.3 ASYMPTOTIC FORMULAS FOR
N
AND
C
79
3.11.4 RADIATION INTENSITY A
T AN ARBITRAR
Y OPTICAL DEPTH
. .
. 80
3.11.5 RADIATION FLUX AND
K
INTEGRAL 82
3.11.6 ALBEDO OF ATMOSPHERE 83
3.12
Q
FORM OF TH
E TRANSFER EQUATION AND SOLUTION
T
O TH
E GENERAL PROBLEM 85
3.12.1 FUNCTION Q(/U,/IO,V) AND IT
S PHYSICAL MEANING 85
3.12.2
Q
FORM OF TH
E TRANSFER EQUATION 87
3.12.3 CONSERVATIVE SCATTERING 89
3.12.4
Q
REPRESENTATION OF TH
E GREEN FUNCTION
FOR TH
E TRANSFER EQUATION IN A PLAN
E ATMOSPHERE 90
3.12.5 SOLUTION T
O TH
E GENERAL PROBLEM 91
4
. ATMOSPHER
E OF FINIT
E OPTICA
L THICKNES
S
95
4.1 INVARIANCE RELATION 95
4.2 EQUATION FOR RADIATION INTENSITY IN MEDIUM 98
4.3 RADIATION INTENSITY A
T ATMOSPHERE BOUNDARIES 99
4.4 FURTHER CONSEQUENCES OF TH
E BASIC INVARIANCE RELATION 100
4.5 DOUBLING METHOD FOR CALCULATION OF TRANSMISSION
AND REFLECTION COEFFICIENTS 101
4.6 RADIATION FIELD IN A LAYER 103
4.7 INTEGRALS OF TH
E TRANSFER EQUATION FOR A LAYER
OF FINITE THICKNESS 104
4.8 ATMOSPHERE WITH LARGE OPTICAL THICKNESS 107
4.8.1 REFLECTION AND TRANSMISSION COEFFICIENTS
AND OTHER QUANTITIES 108
4.8.2 CONSERVATIVE SCATTERING 110
4.8.3 NEARLY CONSERVATIVE SCATTERING
IN AN OPTICALLY THICK LAYER IL
L
4.8.4 ESTIMATIO
N OF TH
E ACCURACY OF ASYMPTOTIC FORMULAS . . 112
CONTENTS XI
4.9 ILLUMINATION OF THE BOUNDARY AND ALBEDO OF ATMOSPHERES
OF ARBITRARY OPTICAL THICKNESS
FOR NEARLY CONSERVATIVE SCATTERING 118
4.10 ALGORITHM FOR SOLVING THE GENERAL PROBLEM 121
4.10.1
Q
FORM EQUATION FOR THE GREEN FUNCTION:
CONSERVATIVE SCATTERING 122
4.10.2 SOLUTION OF TH
E GENERAL PROBLEM:
CONSERVATIVE SCATTERING 124
4.10.3 SOLUTION ALGORITHM FOR NONCONSERVATIVE SCATTERING.
. 127
5. ATMOSPHER
E ABOV
E A REFLECTING SURFACE
129
5.1 RADIATION FIELD IN ATMOSPHERES 129
5.2 REFLECTION AND TRANSMISSION COEFFICIENTS 131
5.3 THE CASE OF A LAMBERTIAN SURFACE 131
5.4 ALBEDO OF ATMOSPHERES AND ILLUMINATION OF SURFACES 133
5.5 OPTICALLY THICK ATMOSPHERE ABOVE A REFLECTIVE SURFACE 133
5.5.1 THE MILNE PROBLEM WITH REFLECTION 134
5.5.2 RADIATION FIELD IN ATMOSPHERES 136
5.5.3 ATMOSPHERE WITH NEARLY CONSERVATIVE SCATTERING 138
BIBLIOGRAPHICA
L COMMENT
S AND ADDITION
S T
O PAR
T I
141
PAR
T II
. MULTILAYER ATMOSPHER
E
6. PARALLE
L EXTERNA
L FLU
X PROBLE
M AND TH
E MILN
E PROBLE
M
.
. 149
6.1 FORMULATION OF TH
E PROBLEM 149
6.2 A TWO-LAYER ATMOSPHERE 149
6.3 CHOOSING THE DIRECTION T
O ADD LAYERS 152
6.4 RADIATION FIELD IN A MULTILAYER ATMOSPHERE 153
6.5 A SEMI-INFINITE MULTILAYER ATMOSPHERE 155
6.6 A MULTILAYER ATMOSPHERE
ABOVE A REFLECTING SURFACE . . . 156
6.7 THE MILNE PROBLEM 157
6.8 THE MILNE INTENSITY AT A LARGE DEPTH IN LAYER N 160
6.9 NORMALIZATION OF THE SOLUTION OF THE MILNE PROBLEM 160
6.10 SOLUTION OF TH
E GENERAL PROBLEM* 162
7. LIGHT SCATTERIN
G IN TW
O ADJACENT HALF-SPACES
165
7.1 STATEMENT OF THE PROBLEM AND MAIN EQUATIONS 165
7.2 RADIATION INTENSITY AT THE BOUNDARY 166
7.3 ISOTROPIC SCATTERING 167
7.4 RADIATION FIELD FOR NEARLY CONSERVATIVE SCATTERING 170
7.5 RADIATION FIELD AWAY FROM THE BOUNDARY 172
XII CONTENTS
8. ATMOSPHER
E CONSISTIN
G OF LAYERS
WIT
H LARGE OPTICAL THICKNESS
173
8.1 PARALLEL EXTERNAL FLUX PROBLEM: GENERAL DISCUSSION 173
8.2 ASYMPTOTIC FORMULAS FOR INTENSITY AT A BOUNDARY
AND FOR TRANSMISSION AND REFLECTION COEFFICIENTS 175
8.3 RADIATION FIELD IN A MEDIUM 177
8.4 CONSERVATIVELY SCATTERING ATMOSPHERE 178
8.5 THE MILNE PROBLEM 180
8.6 NORMALIZATION OF THE MILNE PROBLEM 182
8.7 A TWO-LAYER ATMOSPHERE: BASIC FORMULAS 184
8.7.1 A TWO-LAYER SEMI-INFINITE ATMOSPHERE 184
8.7.2 OPTICALLY THICK LAYERS 185
8.7.3 CONSERVATIVE SCATTERING 187
BIBLIOGRAPHICAL COMMENT
S AND ADDITION
S T
O PAR
T II
189
PAR
T III
. ATMOSPHER
E WIT
H CONTINUOUSL
Y VARYIN
G
PARAMETER
S
9. DIFFUSE REFLECTIO
N AND TRANSMISSION OF LIGHT
BY ATMOSPHERE
S
195
9.1 INTEGRO-DIFFERENTIAL EQUATIONS FOR THE SOURCE FUNCTION
AND REFLECTION AND TRANSMISSION COEFFICIENTS 195
9.2 METHOD OF TRUNCATED ATMOSPHERE FOR
DETERMINING REFLECTION AND TRANSMISSION COEFFICIENTS 200
9.3 A SEMI-INFINITE ATMOSPHERE 205
10
. BASI
C EQUATIONS DEFINING TH
E RADIATIO
N FIELD
IN A VERTICALL
Y INHOMOGENEOU
S LAYER
207
10.1 EQUATION FOR THE RADIATION INTENSITY IN A PLANE LAYER 207
10.2 INVARIANCE RELATION FOR A PLANE SUBLAYER
AND SOME OF ITS COROLLARIES 210
10.3 ON NUMERICAL METHODS T
O COMPUTE RADIATION FIELD
IN AN INHOMOGENEOUS ATMOSPHERE 213
10.4 AN INHOMOGENEOUS ATMOSPHERE ABOVE A REFLECTING SURFACE .
. 214
10.4.1 THE RADIATION FIELD IN AN ATMOSPHERE 214
10.4.2 THE CASE OF A LAMBERTIAN SURFACE.
REFLECTION AND TRANSMISSION COEFFICIENTS -.-: 215
10.4.3 ALBEDO OF THE ATMOSPHERE AND ILLUMINATION
OF THE SURFACE 217
11
. INVARIANCE RELATION
S AND THEI
R COROLLARIES
FOR
A
SEMI-INFINITE ATMOSPHER
E
219
11.1 INVARIANCE RELATIONS 219
CONTENTS XIII
11.2 BASIC EQUATIONS DETERMINING THE RADIATION FIELD 221
11.3 TWO INTEGRAL RELATIONS, NORMALIZATION OF ESCAPE FUNCTION
AND M INTEGRAL 224
11.4 RELATIONSHIP BETWEEN THE MILNE PROBLEM
AND THE PARALLEL EXTERNAL FLUX PROBLEM 226
11.5 SOME INTEGRAL RELATIONS 228
11.6 INTEGRALS OF THE TRANSFER EQUATION 230
11.7 THE CONCEPT OF AN INVERTED SEMI-INFINITE ATMOSPHERE 232
11.8 DISCUSSION OF THE GENERAL APPROACH TO THE SOLUTION
OF THE STATED PROBLEMS 235
12. ASYMPTOTI
C PROPERTIE
S OF RADIATIO
N FIELD
S
IN INHOMOGENEOU
S ATMOSPHERE
S
237
12.1 RADIATIVE TRANSFER IN AN INFINITE MEDIUM 237
12.1.1 ISOTROPIZATION OF RADIATION. P
I APPROXIMATION 239
12.1.2
P
2
APPROXIMATION 240
12.1.3 M INTEGRAL. RELATIONSHIP BETWEEN J/O(-
T)
AND
YO{R) .
242
12.2 DEEP LAYER REGIME IN A SEMI-INFINITE ATMOSPHERE 243
12.3 SEPARATION OF ANGULAR VARIABLES IN THE PROBLEM
OF LIGHT SCATTERING IN AN OPTICALLY THICK LAYER 244
12.4 REFLECTION COEFFICIENT FOR A SEMI-INFINITE ATMOSPHERE
WITH NEARLY CONSERVATIVE SCATTERING 248
12.5 ESCAPE FUNCTION, ALBEDO OF ATMOSPHERES
AND OTHER QUANTITIES FOR SMALL TRUE ABSORPTION 251
12.6 AN INHOMOGENEOUS ATMOSPHERE WITH CONSERVATIVE SCATTERING 255
12.7 CONSERVATIVELY SCATTERING ATMOSPHERE
ABOVE A REFLECTING. SURFACE 257
12.8 RADIATION FIELD IN AN ATMOSPHERE
WITH NEARLY CONSERVATIVE SCATTERING 260
12.8.1 RADIATION FIELD IN AN.INVERTED ATMOSPHERE
AND IN OPTICALLY THICK LAYER 262
12.8.2 RADIATION FLUX 263
13
. ATMOSPHERE
S WIT
H EXPONENTIALL
Y VARYING CHARACTERISTIC
S
. 265
13.1 COEFFICIENT OF REFLECTION FROM A SEMI-INFINITE ATMOSPHERE .
. 265
13.2 RESULTS OF CALCULATIONS AND AN ESTIMATION OF ACCURACY
OF ASYMPTOTIC FORMULAS FOR
A(T
)
=
\
L
E
MR
268
13.3 ALGORITHM FOR CALCULATING INTERNAL RADIATION FIELD 273
13.4 LINEAR INTEGRAL EQUATION FOR INTENSITY OF RADIATION EMERGING
FROM ISOTROPICALLY SCATTERING SEMI-INFINITE ATMOSPHERE 275
14. ASTROPHYSICAL
, GEOPHYSICAL
,
AND OTHER POSSIBL
E APPLICATION
S OF TH
E THEOR
Y
277
14.1 EFFECT OF INHOMOGENEITY OF A CLOUDLESS EARTH ATMOSPHERE
ON THE RADIATION FIELD 277
XIV CONTENTS
14.2 VERTICAL STRUCTURE OF THE VENUSIAN ATMOSPHERE
ACCORDING T
O DATA OBTAINED BY PROBES 281
14.2.1 VERTICAL DISTRIBUTION OF THE ABSORPTION COEFFICIENT
IN AN ATMOSPHERE 282
14.2.2 OPTICAL PARAMETERS OF ATMOSPHERES IN DIFFERENT
SPECTRAL REGIONS 287
14.3 ABSORPTION LINE FORMATION IN AN INHOMOGENEOUS PLANETARY
ATMOSPHERE. BASIC CONCEPTS AND GENERAL FORMULAS 296
14.4 ABSORPTION LINE IN AN OPTICALLY THICK NEARLY CONSERVATIVELY
SCATTERING ATMOSPHERE 299
14.4.1 DEPENDENCE OF THE OBSERVED SPECTRUM ON THE WIDTH
AND ORIENTATION OF SPECTROGRAPH SLIT 302
14.4.2 PROFILE AND EQUIVALENT LINE WIDTH
FOR DIFFERENT MODELS OF ATMOSPHERES 304
14.4.3 ARBITRARY MODEL OF AN ATMOSPHERE.
REDUCTION T
O THE CAUCHY PROBLEM 316
14.5 EFFECT OF INHOMOGENEITY OF STELLAR PHOTOSPHERES
ON TH
E CONTINUOUS SPECTRUM 318
14.5.1 BASIC EQUATIONS AND RELATIONS 318
14.5.2 REDUCTION T
O THE STANDARD PROBLEM 319
14.5.3 VARIOUS METHODS OF SOLUTION 320
14.5.4 ISOTHERMIC PHOTOSPHERE WITH A DENSITY DECREASING
BY THE BAROMETRIC LAW 323
14.5.5 ASYMPTOTIC FORMULAS 326
14.6 OTHER FIELDS OF POSSIBLE APPLICATION OF THE THEORY. 328
BIBLIOGRAPHICA
L COMMENT
S AND ADDITION
S T
O PAR
T II
I
331
APPENDIX
. TABLES OF SOM
E FUNCTION
S AND CONSTANT
S
335
REFERENCE
S
I 355
INDE
X
369 |
| any_adam_object | 1 |
| author | Janovickij, Edgard G. |
| author_facet | Janovickij, Edgard G. |
| author_role | aut |
| author_sort | Janovickij, Edgard G. |
| author_variant | e g j eg egj |
| building | Verbundindex |
| bvnumber | BV010821801 |
| classification_rvk | US 8030 |
| ctrlnum | (OCoLC)633994841 (DE-599)BVBBV010821801 |
| discipline | Physik |
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| id | DE-604.BV010821801 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T06:45:29Z |
| institution | BVB |
| isbn | 3540613625 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007232282 |
| oclc_num | 633994841 |
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| physical | XVII, 371 S. graph. Darst. |
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| publisher | Springer |
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| spelling | Janovickij, Edgard G. Verfasser aut Light scattering in inhomogeneous atmospheres with 54 tables Edgard G. Yanovitskij Berlin [u.a.] Springer 1996 XVII, 371 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Atmosphäre (DE-588)4003397-1 gnd rswk-swf Inhomogenes Medium (DE-588)4228459-4 gnd rswk-swf Lichtstreuung (DE-588)4167602-6 gnd rswk-swf Planet (DE-588)4046212-2 gnd rswk-swf Planet (DE-588)4046212-2 s Atmosphäre (DE-588)4003397-1 s Inhomogenes Medium (DE-588)4228459-4 s Lichtstreuung (DE-588)4167602-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007232282&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Janovickij, Edgard G. Light scattering in inhomogeneous atmospheres with 54 tables Atmosphäre (DE-588)4003397-1 gnd Inhomogenes Medium (DE-588)4228459-4 gnd Lichtstreuung (DE-588)4167602-6 gnd Planet (DE-588)4046212-2 gnd |
| subject_GND | (DE-588)4003397-1 (DE-588)4228459-4 (DE-588)4167602-6 (DE-588)4046212-2 |
| title | Light scattering in inhomogeneous atmospheres with 54 tables |
| title_auth | Light scattering in inhomogeneous atmospheres with 54 tables |
| title_exact_search | Light scattering in inhomogeneous atmospheres with 54 tables |
| title_full | Light scattering in inhomogeneous atmospheres with 54 tables Edgard G. Yanovitskij |
| title_fullStr | Light scattering in inhomogeneous atmospheres with 54 tables Edgard G. Yanovitskij |
| title_full_unstemmed | Light scattering in inhomogeneous atmospheres with 54 tables Edgard G. Yanovitskij |
| title_short | Light scattering in inhomogeneous atmospheres |
| title_sort | light scattering in inhomogeneous atmospheres with 54 tables |
| title_sub | with 54 tables |
| topic | Atmosphäre (DE-588)4003397-1 gnd Inhomogenes Medium (DE-588)4228459-4 gnd Lichtstreuung (DE-588)4167602-6 gnd Planet (DE-588)4046212-2 gnd |
| topic_facet | Atmosphäre Inhomogenes Medium Lichtstreuung Planet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007232282&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT janovickijedgardg lightscatteringininhomogeneousatmosphereswith54tables |