Introduction to the theory of coherence and polarization of light: theory of coherence and polarization of light
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 222 S. Ill., graph. Darst. |
| ISBN: | 9780521822114 |
Internformat
MARC
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| 100 | 1 | |a Wolf, Emil |d 1922-2018 |e Verfasser |0 (DE-588)124170498 |4 aut | |
| 245 | 1 | 0 | |a Introduction to the theory of coherence and polarization of light |b theory of coherence and polarization of light |c Emil Wolf |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2007 | |
| 300 | |a XIV, 222 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Datensatz im Suchindex
| _version_ | 1804137252818780160 |
|---|---|
| adam_text | Contents
Preface
page
x¡
1.
Elementary coherence phenomena
1
1.1
Interference and statistical similarity
1
1.2
Temporal coherence and the coherence time
4
1.3
Spatial coherence and the coherence area
5
1.4
The coherence volume
8
Problems
10
2.
Mathematical preliminaries
11
2.1
Elementary concepts of the theory of random processes
11
2.2
Ergodicity
17
2.3
Complex representation of a real signal and the envelope
of a narrow-band signal
19
2.4
The autocorrelation and the cross-correlation functions
22
2.4.1
The autocorrelation function of a finite sum of periodic
components with random amplitudes
24
2.5
The spectral density and the Wiener-Khintchine theorem
25
Problems
29
3.
Second-order coherence phenomena in the space-time domain
31
3.1
Interference law for stationary optical fields. The mutual
coherence function and the complex degree of coherence
31
3.2
Generation of spatial coherence from an incoherent source.
The van Cittert-Zernike theorem
37
3.3
Illustrative examples
46
3.3.1
Michelson s method for measuring stellar diameters
46
3.3.2
Michelson s method for determining energy distribution
in spectral lines
51
3.4
Propagation of the mutual intensity
54
3.5
Wave equations for the propagation of mutual coherence in free space
56
Problems
58
Contents
4.
Second-order coherence phenomena in the space-frequency domain
60
4.1
Coherent-mode representation and the cross-spectral density
as a correlation function
60
4.2
The spectral interference law and the spectral degree of coherence
63
4.3
An illustrative example: spectral changes on interference
69
4.4
Interference of narrow-band light
73
Problems
76
5.
Radiation from sources of different states of coherence
79
5.1
Fields generated by sources with different coherence properties
79
5.2
Correlations and the spectral density in the far field
81
5.3
Radiation from some model sources
88
5.3.1
Schell-model sources
88
5.3.2
Quasi-homogeneous sources
90
5.4
Sources of different states of spatial coherence which generate
identical distributions of the radiant intensity
95
5.5
Coherence properties of Lambertian sources
97
5.6
Spectral changes on propagation. The scaling law
102
Problems
108
6.
Coherence effects in scattering 111
6.1
Scattering of a monochromatic plane wave on a deterministic medium
111
6.2
Scattering of partially coherent waves on a deterministic medium
115
6.3
Scattering on random media
118
6.3.1
General formulas
118
6.3.2
Examples
121
6.3.3
Scattering on a quasi-homogeneous medium
123
Problems
127
7.
Higher-order coherence effects
129
7.1
Introduction
129
7.2
Intensity
interferometry
with radio waves
131
7.3
The Hanbury Brown-Twiss effect and intensity
interferometry
with light
134
7.4
Einstein s formula for energy fluctuations in
blackbody
radiation
and the wave-particle duality
140
7.5
Mandel s theory of photoelectric detection of light fluctuations
143
7.5.1
Mandel s formula for photocount statistics
143
7.5.2
The variance of counts from a single photodetector
145
7.5.3
Correlation between count fluctuations from two detectors
147
7.6
Determination of statistical properties of light from photocount
measurements
149
Problems
151
8.
Elementary theory of polarization of stochastic electromagnetic beams
154
8.1
The
2x2
equal-time correlation matrix of a quasi-monochromatic
electromagnetic beam
154
8.2
Polarized, unpolarized and partially polarized light. The degree
of polarization
158
8.2.1
Completely polarized light
158
8.2.2
Natural (unpolarized) light
160
Contents
8.2.3
Partially polarized light and the degree of polarization
161
8.2.4
The geometrical significance of complete polarization. The Stokes
parameters of completely polarized light. The
Poincaré
sphere
165
Problems
171
9.
Unified theory of polarization and coherence
174
9.1
The
2X2
cross-spectral density matrix of a stochastic
electromagnetic beam
174
9.2
The spectral interference law, the spectral degree of coherence
and the spectral degree of polarization of stochastic
electromagnetic beams
175
9.3
Determination of the cross-spectral density matrix from experiments
179
9.4
Changes in random electromagnetic beams on propagation
181
9.4.1
Propagation of the cross-spectral density matrix of a stochastic
electromagnetic beam
-
general formulas
181
9.4.2
Propagation of the cross-spectral density matrix of an
electromagnetic Gaussian Schell-model beam
183
9.4.3
Examples of correlation-induced changes in stochastic
electromagnetic beams on propagation
186
9.4.4
Coherence-induced changes of the degree of polarization
in Young s interference experiment
191
9.5
Generalized Stokes parameters
194
Problems
197
Appendices
202
I Cells of phase space and the degeneracy parameter
202
(a) Cells of phase space of a quasi-monochromatic light wave (Section
1.4) 202
(b) Cells of phase space of radiation in a cavity (Sections
7.4
and
7.5 ) 204
(c) The degeneracy parameter
206
II Derivation of Mandel s formula for photocount statistics
[Eq.
(2)
of Section
7.5.1] 208
III The degree of polarization of an electromagnetic Gaussian
Schell-model source
210
IV Some important probability distributions
212
(a) The binomial (or Bernoulli) distribution and some of its limiting cases
212
(b) The Bose-Einstein distribution
214
Author index
216
Subject index
220
|
| adam_txt |
Contents
Preface
page
x¡
1.
Elementary coherence phenomena
1
1.1
Interference and statistical similarity
1
1.2
Temporal coherence and the coherence time
4
1.3
Spatial coherence and the coherence area
5
1.4
The coherence volume
8
Problems
10
2.
Mathematical preliminaries
11
2.1
Elementary concepts of the theory of random processes
11
2.2
Ergodicity
17
2.3
Complex representation of a real signal and the envelope
of a narrow-band signal
19
2.4
The autocorrelation and the cross-correlation functions
22
2.4.1
The autocorrelation function of a finite sum of periodic
components with random amplitudes
24
2.5
The spectral density and the Wiener-Khintchine theorem
25
Problems
29
3.
Second-order coherence phenomena in the space-time domain
31
3.1
Interference law for stationary optical fields. The mutual
coherence function and the complex degree of coherence
31
3.2
Generation of spatial coherence from an incoherent source.
The van Cittert-Zernike theorem
37
3.3
Illustrative examples
46
3.3.1
Michelson's method for measuring stellar diameters
46
3.3.2
Michelson's method for determining energy distribution
in spectral lines
51
3.4
Propagation of the mutual intensity
54
3.5
Wave equations for the propagation of mutual coherence in free space
56
Problems
58
Contents
4.
Second-order coherence phenomena in the space-frequency domain
60
4.1
Coherent-mode representation and the cross-spectral density
as a correlation function
60
4.2
The spectral interference law and the spectral degree of coherence
63
4.3
An illustrative example: spectral changes on interference
69
4.4
Interference of narrow-band light
73
Problems
76
5.
Radiation from sources of different states of coherence
79
5.1
Fields generated by sources with different coherence properties
79
5.2
Correlations and the spectral density in the far field
81
5.3
Radiation from some model sources
88
5.3.1
Schell-model sources
88
5.3.2
Quasi-homogeneous sources
90
5.4
Sources of different states of spatial coherence which generate
identical distributions of the radiant intensity
95
5.5
Coherence properties of Lambertian sources
97
5.6
Spectral changes on propagation. The scaling law
102
Problems
108
6.
Coherence effects in scattering 111
6.1
Scattering of a monochromatic plane wave on a deterministic medium
111
6.2
Scattering of partially coherent waves on a deterministic medium
115
6.3
Scattering on random media
118
6.3.1
General formulas
118
6.3.2
Examples
121
6.3.3
Scattering on a quasi-homogeneous medium
123
Problems
127
7.
Higher-order coherence effects
129
7.1
Introduction
129
7.2
Intensity
interferometry
with radio waves
131
7.3
The Hanbury Brown-Twiss effect and intensity
interferometry
with light
134
7.4
Einstein's formula for energy fluctuations in
blackbody
radiation
and the wave-particle duality
140
7.5
Mandel's theory of photoelectric detection of light fluctuations
143
7.5.1
Mandel's formula for photocount statistics
143
7.5.2
The variance of counts from a single photodetector
145
7.5.3
Correlation between count fluctuations from two detectors
147
7.6
Determination of statistical properties of light from photocount
measurements
149
Problems
151
8.
Elementary theory of polarization of stochastic electromagnetic beams
154
8.1
The
2x2
equal-time correlation matrix of a quasi-monochromatic
electromagnetic beam
154
8.2
Polarized, unpolarized and partially polarized light. The degree
of polarization
158
8.2.1
Completely polarized light
158
8.2.2
Natural (unpolarized) light
160
Contents
8.2.3
Partially polarized light and the degree of polarization
161
8.2.4
The geometrical significance of complete polarization. The Stokes
parameters of completely polarized light. The
Poincaré
sphere
165
Problems
171
9.
Unified theory of polarization and coherence
174
9.1
The
2X2
cross-spectral density matrix of a stochastic
electromagnetic beam
174
9.2
The spectral interference law, the spectral degree of coherence
and the spectral degree of polarization of stochastic
electromagnetic beams
175
9.3
Determination of the cross-spectral density matrix from experiments
179
9.4
Changes in random electromagnetic beams on propagation
181
9.4.1
Propagation of the cross-spectral density matrix of a stochastic
electromagnetic beam
-
general formulas
181
9.4.2
Propagation of the cross-spectral density matrix of an
electromagnetic Gaussian Schell-model beam
183
9.4.3
Examples of correlation-induced changes in stochastic
electromagnetic beams on propagation
186
9.4.4
Coherence-induced changes of the degree of polarization
in Young's interference experiment
191
9.5
Generalized Stokes parameters
194
Problems
197
Appendices
202
I Cells of phase space and the degeneracy parameter
202
(a) Cells of phase space of a quasi-monochromatic light wave (Section
1.4) 202
(b) Cells of phase space of radiation in a cavity (Sections
7.4
and
7.5 ) 204
(c) The degeneracy parameter
206
II Derivation of Mandel's formula for photocount statistics
[Eq.
(2)
of Section
7.5.1] 208
III The degree of polarization of an electromagnetic Gaussian
Schell-model source
210
IV Some important probability distributions
212
(a) The binomial (or Bernoulli) distribution and some of its limiting cases
212
(b) The Bose-Einstein distribution
214
Author index
216
Subject index
220 |
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| id | DE-604.BV023029179 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:16:17Z |
| indexdate | 2024-07-09T21:09:21Z |
| institution | BVB |
| isbn | 9780521822114 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016233090 |
| oclc_num | 633846742 |
| open_access_boolean | |
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| owner_facet | DE-703 DE-20 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-83 DE-11 |
| physical | XIV, 222 S. Ill., graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Wolf, Emil 1922-2018 Verfasser (DE-588)124170498 aut Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light Emil Wolf 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2007 XIV, 222 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Polarisation (DE-588)4046482-9 gnd rswk-swf Licht (DE-588)4035596-2 gnd rswk-swf Kohärente Strahlung (DE-588)4114251-2 gnd rswk-swf Polarisation (DE-588)4046482-9 s Licht (DE-588)4035596-2 s DE-604 Kohärente Strahlung (DE-588)4114251-2 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016233090&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wolf, Emil 1922-2018 Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light Polarisation (DE-588)4046482-9 gnd Licht (DE-588)4035596-2 gnd Kohärente Strahlung (DE-588)4114251-2 gnd |
| subject_GND | (DE-588)4046482-9 (DE-588)4035596-2 (DE-588)4114251-2 |
| title | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light |
| title_auth | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light |
| title_exact_search | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light |
| title_exact_search_txtP | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light |
| title_full | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light Emil Wolf |
| title_fullStr | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light Emil Wolf |
| title_full_unstemmed | Introduction to the theory of coherence and polarization of light theory of coherence and polarization of light Emil Wolf |
| title_short | Introduction to the theory of coherence and polarization of light |
| title_sort | introduction to the theory of coherence and polarization of light theory of coherence and polarization of light |
| title_sub | theory of coherence and polarization of light |
| topic | Polarisation (DE-588)4046482-9 gnd Licht (DE-588)4035596-2 gnd Kohärente Strahlung (DE-588)4114251-2 gnd |
| topic_facet | Polarisation Licht Kohärente Strahlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016233090&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wolfemil introductiontothetheoryofcoherenceandpolarizationoflighttheoryofcoherenceandpolarizationoflight |