The mathematics of radiative transfer:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2008
|
| Ausgabe: | Digitally printed version |
| Schriftenreihe: | Cambridge tracts in mathematics and mathematical physics
50 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Originally published: 1960 |
| Beschreibung: | VII, 143 S. |
| ISBN: | 9780521090667 9780521043984 |
Internformat
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| 100 | 1 | |a Busbridge, Ida W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The mathematics of radiative transfer |c by I. W. Busbridge |
| 250 | |a Digitally printed version | ||
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2008 | |
| 300 | |a VII, 143 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics and mathematical physics |v 50 | |
| 500 | |a Originally published: 1960 | ||
| 650 | 4 | |a Radiative transfer / Mathematics | |
| 650 | 4 | |a Stars / Atmospheres / Mathematics | |
| 650 | 4 | |a Diffusion | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Diffusion | |
| 650 | 4 | |a Radiative transfer |x Mathematics | |
| 650 | 4 | |a Stars |x Atmospheres |x Mathematics | |
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Datensatz im Suchindex
| _version_ | 1804138122800267264 |
|---|---|
| adam_text | CONTENTS
Preface page·
ix
Introduction
xi
Part I. AUXILIARY MATHEMATICS
Chapter I. the equation of transfer
1
Introduction
1
2
Notation
1
3
The equation of transfer
4
4
Finite atmospheres
5
5
Semi-infinite atmospheres
6
6
The net flux
9
7
The
JÍT-integral
11
Chapter
2.
the
я
-functions
8
Introduction
13
9
The characteristic equation
14
10
The functional relation
16
11
The solution of the
Я
-equation
17
12
The moments of
Η (μ)
24
Chapter
3.
INTEGRAL OPERATORS
13
Introduction
27
14
The functions En(t) and Kn(t)
27
15
Properties of the operators
L
and
L
29
Part II. MILNE EQUATIONS
Chapter
4.
iterative solutions
16
Introduction
35
17
The homogeneous Milne equation
(ψ0
=
J)
35
18
Uniqueness
37
19
The non-homogeneous equation
39
Chapter
5.
THE
WIENER-HOPF
SOLUTION
20
Introduction
47
21
The Laplace transforms
(20-4) 48
vi
CONTENTS
22
The homogeneous Milne equation
РЩІе 49
23
The definitive form for J(r) 55
24
The derivatives of
J
(т) б9
25
The Milne equation
( 1 -
ω0 Λ),
{J(t)}
= 0
βθ
Chapter
6.
solutions of the non-homogeneous
EQUATION
26
Introduction e2
27
The auxiliary equation
(26-5)
63
28
The reduction to the
Я
-equation 67
29
The solution of
(1
-L),
{3(0} =
Σ«^η-*/(»- )! 70
»-о
30
The solution of (l-i)T{3W} = ^nW 71
Chapter
7.
finite atmosphebes:
PRELIMINARY RESULTS
31
Introduction
80
32
Further properties of the operator
L
80
33
The homogeneous equation
83
34
The non-homogeneous equation
83
35
The derivative of the solution of a Milne equation
85
Chapter
8.
the x- and v-functions
36
Introduction
88
37
The auxiliary equation
88
38
Properties of the X
-
and
У
-functions
93
39
Uniqueness
Θ9
40
Other integral equations for
Χ(μ)
and
Υ(μ)
101
Chapter
9.
finite atmospheres:
FURTHER BESULT8
41
The Tj-tr&nsforms
104
42
Thesolutionof(l-X)T{3(ť)} = fo,T»- /(n-r)!
105
43
The solution of
(1-Χ)τ{3(ί)}- ¿.(τ)
110
CONTENTS
VU
Chapter
10.
ANisoTKOPic scattering
44
Introduction page
113
45
Preliminary formulae
116
46
The homogeneous equation
116
47
The auxiliary equation
120
48
The reduction to an
Ä-function 122
49
The law of diffuse reflexion
131
APPENDIX
NOTES ON FURTHER PROBLEMS
50
Polarization
134
51
Inhomogeneous atmospheres
134
52
The formation of absorption lines
135
53
Time-dependent problems
136
54
Spherical atmospheres
137
References
138
General index
141
Index of notations
143
|
| adam_txt |
CONTENTS
Preface page·
ix
Introduction
xi
Part I. AUXILIARY MATHEMATICS
Chapter I. the equation of transfer
1
Introduction
1
2
Notation
1
3
The equation of transfer
4
4
Finite atmospheres
5
5
Semi-infinite atmospheres
6
6
The net flux
9
7
The
JÍT-integral
11
Chapter
2.
the
я
-functions
8
Introduction
13
9
The characteristic equation
14
10
The functional relation
16
11
The solution of the
Я
-equation
17
12
The moments of
Η (μ)
24
Chapter
3.
INTEGRAL OPERATORS
13
Introduction
27
14
The functions En(t) and Kn(t)
27
15
Properties of the operators
L
and
L
29
Part II. MILNE EQUATIONS
Chapter
4.
iterative solutions
16
Introduction
35
17
The homogeneous Milne equation
(ψ0
=
J)
35
18
Uniqueness
37
19
The non-homogeneous equation
39
Chapter
5.
THE
WIENER-HOPF
SOLUTION
20
Introduction
47
21
The Laplace transforms
(20-4) 48
vi
CONTENTS
22
The homogeneous Milne equation
РЩІе 49
23
The definitive form for J(r) 55
24
The derivatives of
J
(т) б9
25
The Milne equation
( 1 -
ω0 Λ),
{J(t)}
= 0
βθ
Chapter
6.
solutions of the non-homogeneous
EQUATION
26
Introduction e2
27
The auxiliary equation
(26-5)
63
28
The reduction to the
Я
-equation 67
29
The solution of
(1
-L),
{3(0} =
Σ«^η-*/(»-")! 70
»-о
30
The solution of (l-i)T{3W} = ^nW 71
Chapter
7.
finite atmosphebes:
PRELIMINARY RESULTS
31
Introduction
80
32
Further properties of the operator
L
80
33
The homogeneous equation
83
34
The non-homogeneous equation
83
35
The derivative of the solution of a Milne equation
85
Chapter
8.
the x- and v-functions
36
Introduction
88
37
The auxiliary equation
88
38
Properties of the X
-
and
У
-functions
93
39
Uniqueness
Θ9
40
Other integral equations for
Χ(μ)
and
Υ(μ)
101
Chapter
9.
finite atmospheres:
FURTHER BESULT8
41
The Tj-tr&nsforms
104
42
Thesolutionof(l-X)T{3(ť)} = fo,T»-'/(n-r)!
105
43
The solution of
(1-Χ)τ{3(ί)}-'¿.(τ)
110
CONTENTS
VU
Chapter
10.
ANisoTKOPic scattering
44
Introduction page
113
45
Preliminary formulae
116
46
The homogeneous equation
116
47
The auxiliary equation
120
48
The reduction to an
Ä-function 122
49
The law of diffuse reflexion
131
APPENDIX
NOTES ON FURTHER PROBLEMS
50
Polarization
134
51
Inhomogeneous atmospheres
134
52
The formation of absorption lines
135
53
Time-dependent problems
136
54
Spherical atmospheres
137
References
138
General index
141
Index of notations
143 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T22:26:32Z |
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| institution | BVB |
| isbn | 9780521090667 9780521043984 |
| language | English |
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| physical | VII, 143 S. |
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| series | Cambridge tracts in mathematics and mathematical physics |
| series2 | Cambridge tracts in mathematics and mathematical physics |
| spelling | Busbridge, Ida W. Verfasser aut The mathematics of radiative transfer by I. W. Busbridge Digitally printed version Cambridge Cambridge Univ. Press 2008 VII, 143 S. txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics and mathematical physics 50 Originally published: 1960 Radiative transfer / Mathematics Stars / Atmospheres / Mathematics Diffusion Mathematik Radiative transfer Mathematics Stars Atmospheres Mathematics Strahlungstransport (DE-588)4183546-3 gnd rswk-swf Strahlungstransport (DE-588)4183546-3 s DE-604 Cambridge tracts in mathematics and mathematical physics 50 (DE-604)BV001887938 50 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016806712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Busbridge, Ida W. The mathematics of radiative transfer Cambridge tracts in mathematics and mathematical physics Radiative transfer / Mathematics Stars / Atmospheres / Mathematics Diffusion Mathematik Radiative transfer Mathematics Stars Atmospheres Mathematics Strahlungstransport (DE-588)4183546-3 gnd |
| subject_GND | (DE-588)4183546-3 |
| title | The mathematics of radiative transfer |
| title_auth | The mathematics of radiative transfer |
| title_exact_search | The mathematics of radiative transfer |
| title_exact_search_txtP | The mathematics of radiative transfer |
| title_full | The mathematics of radiative transfer by I. W. Busbridge |
| title_fullStr | The mathematics of radiative transfer by I. W. Busbridge |
| title_full_unstemmed | The mathematics of radiative transfer by I. W. Busbridge |
| title_short | The mathematics of radiative transfer |
| title_sort | the mathematics of radiative transfer |
| topic | Radiative transfer / Mathematics Stars / Atmospheres / Mathematics Diffusion Mathematik Radiative transfer Mathematics Stars Atmospheres Mathematics Strahlungstransport (DE-588)4183546-3 gnd |
| topic_facet | Radiative transfer / Mathematics Stars / Atmospheres / Mathematics Diffusion Mathematik Radiative transfer Mathematics Stars Atmospheres Mathematics Strahlungstransport |
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