Informational limits in optical polarimetry and vectorial imaging:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2012
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| Schriftenreihe: | Springer Theses
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| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVI, 231 S. Ill., graph. Darst. |
| ISBN: | 9783642285271 3642285279 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 MOTIVATION AND AIMS 1
1.2 THESIS STRUCTURE AND OVERVIEW 3
REFERENCES 4
2 FUNDAMENTALS O F PROBABILITY THEORY 7
2.1 RANDOM VARIABLES 7
2.1.1 SPECIFYING A RANDOM VARIABLE 7
2.1.2 FUNCTIONS O F A RANDOM VARIABLE 11
2.1.3 MULTIPLE RANDOM VARIABLES 11
2.2 RANDOM PROCESSES 16
2.2.1 SPECIFYING A RANDOM PROCESS 16
2.2.2 STATIONARITY AND ERGODICITY 16
2.2.3 SPECTRAL ANALYSIS OF A RANDOM PROCESS 18
2.3 SOME IMPORTANT TYPES O F STATISTICS 19
2.3.1 POISSON STATISTICS 20
2.3.2 GAUSSIAN STATISTICS 22
2.4 CONCLUSIONS 23
REFERENCES 24
3 INFORMATION AND ESTIMATION THEORY 27
3.1 INTRODUCTION 27
3.2 MAXIMUM LIKELIHOOD ESTIMATION 29
3.2.1 DEFINITION 29
3.2.2 PROPERTIES O F THE MAXIMUM LIKELIHOOD ESTIMATOR 31
3.3 CRAMER-RAO LOWER BOUND 35
3.3.1 FUNCTIONS O F PARAMETERS AND NUISANCE PARAMETERS 37
3.3.2 INFORMATIONAL METRICS 37
3.3.3 MLE VERSUS OTHER ESTIMATORS 38
XI
HTTP://D-NB.INFO/1019494514
IMAGE 2
XII CONTENTS
3.4 CONSTRAINED MAXIMUM LIKELIHOOD ESTIMATION 39
3.4.1 CONSTRAINED CRAMER-RAO LOWER BOUND 4 1
3.5 BAYESIAN ESTIMATION 4 2
3.6 CONCLUSIONS 4 4
REFERENCES 44
4 VECTORIAL OPTICS 47
4.1 ELECTROMAGNETISM AND OPTICS 47
4.2 POLARISATION O F LIGHT 4 9
4.2.1 LISSAJOUS DIAGRAMS AND THE POLARISATION ELLIPSE 51
4.2.2 JONES VECTORS 51
4.2.3 COHERENCY MATRICES 53
4.2.4 STOKES VECTORS 55
4.2.5 THE POINCARE SPHERE 57
4.2.6 STOKES SPACE 57
4.3 JONES AND MUELLER POLARISATION ALGEBRAS 58
4.4 VECTORIAL RAY-TRACING 62
4.5 FOCUSING OF VECTORIAL BEAMS 62
4.5.1 SCALED DEBYE-WOLF DIFFRACTION INTEGRAL 63
4.5.2 FOCUSING O F PARTIALLY POLARISED, PARTIALLY COHERENT LIGHT 69
4.5.3 EXAMPLES 7 6
4.6 CONCLUSIONS 81
REFERENCES 82
5 INFORMATION IN POLARIMETRY 87
5.1 POLARIMETRY 87
5.1.1 STOKES POLARIMETRY 88
5.1.2 MUELLER POLARIMETRY 89
5.2 POLARISATION RESOLUTION 9 0
5.2.1 POLARISATION ENCODING AND DEGREES OF FREEDOM 92
5.2.2 EFFICIENCY OF OBSERVATION 93
5.2.3 EXAMPLES 95
5.2.4 CHANNEL CAPACITY AND DETECTOR NUMBERS 100
5.3 OPTIMISATION O F POLARIMETERS 101
5.3.1 EXAMPLES 103
5.3.2 EXTENSION O F OPTIMISATION RESULTS 108
5.4 NOISE PROPAGATION IN LU-CHIPMAN DECOMPOSITION 109
5.4.1 SINGLE ELEMENT SYSTEMS 109
5.4.2 COMPOSITE SYSTEMS 110
5.5 CONCLUSIONS 112
REFERENCES 113
IMAGE 3
C O N T E N T S X I I I
6 INFORMATION IN POLARISATION IMAGING 117
6.1 INTRODUCTION 117
6.2 EIGENFUNCTION EXPANSION O F THE DEBYE-WOLF DIFFRACTION INTEGRAL 118
6.2.1 DERIVATION O F THE EIGENFUNCTION EXPANSION 119
6.2.2 PROPERTIES OF THE EIGENFUNCTION EXPANSION 122
6.2.3 NUMERICAL EXAMPLES 124
6.3 INVERSION OF THE DEBYE-WOLF DIFFRACTION INTEGRAL 127
6.3.1 SOME NOTES ON INVERSION 129
6.3.2 EXAMPLES 132
6.4 POLARISATION MICROSCOPY 138
6.4.1 FISHER INFORMATION IN MICROSCOPY 138
6.4.2 EXAMPLES 141
6.5 PHYSICAL CONSTRAINTS IN VECTORIAL IMAGING 154
6.6 CONCLUSIONS 157
REFERENCES 159
7 MULTIPLEXED OPTICAL DATA STORAGE (MODS) 1 63
7.1 ELECTROMAGNETIC SCATTERING CALCULATIONS 164
7.1.1 SYSTEM DESCRIPTION 165
7.1.2 MODE EXPANSION THEORY 166
7.2 OPTICAL DISC READOUT: NUMERICAL RESULTS 172
7.2.1 FIELD DISTRIBUTIONS WITHIN THE DATA PIT 172
7.2.2 PROPERTIES O F THE SCATTERED FIELD 174
7.3 OPTIMAL PIT GEOMETRY 178
7.4 CONCLUSIONS 180
REFERENCES 181
8 SINGLE MOLECULE STUDIES 183
8.1 INTRODUCTION 183
8.2 PHOTON STATISTICS IN SINGLE MOLECULE ORIENTATIONAL IMAGING . . . .
184 8.2.1 SIGNAL-TO-NOISE CONSIDERATIONS 184
8.2.2 PROBABILITY DENSITY FUNCTION O F THE NUMBER OF DETECTED PHOTONS
186
8.2.3 PROBABILITY DENSITY FUNCTION O F TIME AVERAGED INTENSITY 187
8.2.4 THREE DIMENSIONAL DIPOLE WOBBLE 192
8.2.5 DISCUSSION 193
8.3 LONGITUDINAL DIPOLE ORIENTATION AND FIELD MAPPING 194
8.3.1 DESCRIPTION O F SYSTEM 194
8.3.2 SYSTEM TOLERANCES 198
8.4 CONCLUSIONS 202
REFERENCES 202
IMAGE 4
XIV CONTENTS
9 CONCLUSIONS 205
APPENDIX A: SOME INFORMATION THEORETIC PROOFS 211
APPENDIX B: SPECIAL FUNCTIONS 215 |
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| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.52 |
| dewey-search | 535.52 |
| dewey-sort | 3535.52 |
| dewey-tens | 530 - Physics |
| discipline | Physik Informatik Elektrotechnik / Elektronik / Nachrichtentechnik |
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| isbn | 9783642285271 3642285279 |
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| spelling | Foreman, Matthew R. Verfasser aut Informational limits in optical polarimetry and vectorial imaging Matthew R. Foreman Berlin [u.a.] Springer 2012 XVI, 231 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer Theses Polarimetrie (DE-588)4174982-0 gnd rswk-swf Auflösungsvermögen (DE-588)4129783-0 gnd rswk-swf Optisches System (DE-588)4126186-0 gnd rswk-swf Polarisiertes Licht (DE-588)4278185-1 gnd rswk-swf Polarimetrie (DE-588)4174982-0 s Polarisiertes Licht (DE-588)4278185-1 s Optisches System (DE-588)4126186-0 s Auflösungsvermögen (DE-588)4129783-0 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3973203&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025112534&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Foreman, Matthew R. Informational limits in optical polarimetry and vectorial imaging Polarimetrie (DE-588)4174982-0 gnd Auflösungsvermögen (DE-588)4129783-0 gnd Optisches System (DE-588)4126186-0 gnd Polarisiertes Licht (DE-588)4278185-1 gnd |
| subject_GND | (DE-588)4174982-0 (DE-588)4129783-0 (DE-588)4126186-0 (DE-588)4278185-1 |
| title | Informational limits in optical polarimetry and vectorial imaging |
| title_auth | Informational limits in optical polarimetry and vectorial imaging |
| title_exact_search | Informational limits in optical polarimetry and vectorial imaging |
| title_full | Informational limits in optical polarimetry and vectorial imaging Matthew R. Foreman |
| title_fullStr | Informational limits in optical polarimetry and vectorial imaging Matthew R. Foreman |
| title_full_unstemmed | Informational limits in optical polarimetry and vectorial imaging Matthew R. Foreman |
| title_short | Informational limits in optical polarimetry and vectorial imaging |
| title_sort | informational limits in optical polarimetry and vectorial imaging |
| topic | Polarimetrie (DE-588)4174982-0 gnd Auflösungsvermögen (DE-588)4129783-0 gnd Optisches System (DE-588)4126186-0 gnd Polarisiertes Licht (DE-588)4278185-1 gnd |
| topic_facet | Polarimetrie Auflösungsvermögen Optisches System Polarisiertes Licht |
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