Electromagnetic scattering from random media:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2009
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | International series of monographs on physics
144 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 184 S. graph. Darst. |
| ISBN: | 9780198570776 |
Internformat
MARC
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| 100 | 1 | |a Field, Timothy R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Electromagnetic scattering from random media |c Timothy R. Field |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2009 | |
| 300 | |a XIII, 184 S. |b graph. Darst. | ||
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| 650 | 4 | |a Stochastic processes | |
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| 650 | 4 | |a Electromagnetic waves |x Scattering | |
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Datensatz im Suchindex
| _version_ | 1804138915655843840 |
|---|---|
| adam_text | CONTENTS
I STOCHASTIC CALCULUS
Heat equation and Brownian motion 3
1.1 Einstein s 1905 derivation 3
1.1.1 Green s function solution 5
1.2 Brownian motion 5
Ito calculus 7
2.1 Ito stochastic integral 7
2.1.1 Ito isometry 9
2.2 Ito differential 9
2.2.1 Ito s formula 10
2.2.2 Ito product rule 10
Stochastic differential geometry 12
3.1 Diffusions on manifolds 12
3.2 Kinematics of diffusion 16
Examples of stochastic differential equations 20
4.1 Geometric Brownian motion 21
4.2 Bessel process 21
4.3 Solution to Laplace s equation 23
II DYNAMICS OF THE SCATTERING PROCESS
Diffusion models of scattering 27
5.1 Non-Gaussian statistical models 28
5.2 Dynamics of the vector scattering process 30
5.2.1 Natural boundaries 32
5.3 Correlation in the vector scattering process 35
Rayleigh scattering 40
6.1 Quadrature components 40
6.1.1 Rayleigh intensity 41
6.1.2 Statistical properties 42
6.2 Random walk model 43
6.2.1 Ornstein-Uhlenbeck process 44
Population dynamics 46
7.1 Master equations and the Kramers-Moyal expansion 46
7.2 Birth-death-immigration processes 47
7.3 Continuum diffusion limit 48
XI
xii CONTENTS
8 Dynamics of X-scattering 52
8.1 Stochastic dynamics of if-amplitude process 53
8.1.1 Intensity 55
8.1.2 Phase 57
8.2 Geometry of X-amplitude fluctuations 59
8.3 Asymptotic behaviour 60
8.3.1 Equilibrium distribution 60
8.3.2 Detailed balance 62
8.4 Correlation and spectra 63
8.4.1 Intensity autocorrelation 63
8.4.2 Power spectral density 64
8.5 Interpretation and implications 67
9 Models of weak scattering 69
9.1 Weak scattering amplitudes 70
9.2 Stochastic dynamics 71
9.3 Geometry of amplitude fluctuations 74
9.4 Asymptotic behaviour 79
9.4.1 Detailed balance 85
10 Scattering from general populations 88
10.1 Extended random walk model 88
10.2 Generalized dynamics 91
III SIMULATION AND EXPERIMENT
11 Simulation of if-scattering 99
11.1 Iterative schemes 99
11.2 Rayleigh and gamma processes 105
11.3 Compound /sT-model 109
11.4 Influence of Doppler on volatilities 111
11.5 Coherent clutter 113
11.5.1 Target returns in clutter 114
11.6 Second-order algorithms 115
12 Experimental tests 124
12.1 Scattering at optical wavelength 125
12.1.1 Random phase screen 125
12.2 Scattering at radar wavelength 126
12.2.1 Coherent sea clutter 127
12.2.2 Anomaly detection 132
13 Non-linear dynamics of sea clutter 138
13.1 Hybrid AM/FM model of sea clutter 140
13.2 Non-linear dynamics from SDE theory 141
13.3 Radar parameters 144
CONTENTS xiii
13.3.1 Superposition 144
13.3.2 Sea state and polarization 145
14 Observability of scattering cross-section 150
14.1 Simulated data 150
14.2 Experimental applications 151
A Stability and infinite divisibility 153
B Ito versus Stratonovich stochastic integrals 155
C Filtrations, conditional probability, and Markov property 158
D Girsanov s theorem 159
D.0.1 Relation to mathematical finance 160
E Partition function solution to BDI model 161
F Summary of /{ -scattering 165
F.I Rayleigh scattering 165
F.2 X-distributed noise 166
F.2.1 Amplitude 167
F.2.2 Intensity 167
F.2.3 Phase 168
F.2.4 Geometry of fluctuations 168
G Iterative solution for vector processes 170
H Open problems 172
I Suggested further reading 174
References 177
Index 181
|
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| id | DE-604.BV035460815 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:35:47Z |
| institution | BVB |
| isbn | 9780198570776 |
| language | English |
| lccn | 2008042115 |
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| physical | XIII, 184 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | International series of monographs on physics |
| series2 | International series of monographs on physics Oxford science publications |
| spelling | Field, Timothy R. Verfasser aut Electromagnetic scattering from random media Timothy R. Field 1. publ. Oxford [u.a.] Oxford Univ. Press 2009 XIII, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series of monographs on physics 144 Oxford science publications Mathematische Physik Stochastic processes Random fields Mathematical physics Electromagnetic waves Scattering International series of monographs on physics 144 (DE-604)BV000106406 144 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017380657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Field, Timothy R. Electromagnetic scattering from random media International series of monographs on physics Mathematische Physik Stochastic processes Random fields Mathematical physics Electromagnetic waves Scattering |
| title | Electromagnetic scattering from random media |
| title_auth | Electromagnetic scattering from random media |
| title_exact_search | Electromagnetic scattering from random media |
| title_full | Electromagnetic scattering from random media Timothy R. Field |
| title_fullStr | Electromagnetic scattering from random media Timothy R. Field |
| title_full_unstemmed | Electromagnetic scattering from random media Timothy R. Field |
| title_short | Electromagnetic scattering from random media |
| title_sort | electromagnetic scattering from random media |
| topic | Mathematische Physik Stochastic processes Random fields Mathematical physics Electromagnetic waves Scattering |
| topic_facet | Mathematische Physik Stochastic processes Random fields Mathematical physics Electromagnetic waves Scattering |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017380657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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