Phase estimation in optical interferometry:
Gespeichert in:
| Weitere Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Ausgabe: | First issued in paperback |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | xxii, 336 Seiten Illustrationen, Diagramme |
| ISBN: | 9781138033658 9781466598317 |
Internformat
MARC
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| 245 | 1 | 0 | |a Phase estimation in optical interferometry |c edited by Pramod Rastogi, Erwin Hack |
| 250 | |a First issued in paperback | ||
| 264 | 0 | |a Boca Raton ; London ; New York |b CRC Press |c 2016 | |
| 300 | |a xxii, 336 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1804177625739952128 |
|---|---|
| adam_text | Contents
Preface, xiii
About the Editors, xvii
List of Contributors, xix
Abbreviations, xxi
A
Chapter 1 ■ Fourier Fringe Demodulation 1
Mitsuo Takeda
1.1 INTRODUCTION 1
1.2 PRINCIPLE OF THE GENERIC FTM FOR FRINGE
DEMODULATION 2
1.3 GENERAL FEATURES OF THE FTM 11
1.4 APPLICATIONS OF FOURIER FRINGE DEMODULATION 15
1.4.1 Vibration Mode Measurement 15
1.4.2 Imaging Polarimetry 17
1.4.3 Plasma Diagnosis 21
1.4.4 X-ray Phase Tomography 23
1.4.5 Measurement of Ultrashort Optical Pulses 24
1.5 CONCLUSION 27
REFERENCES 28
Chapter 2 ■ Windowed Fourier Transforms______________31^
JlNGANG ZHONG AND JlAWEN WENG
2.1 INTRODUCTION 31
2.2 PHASE DEMODULATION BASED ON FOURIER
TRANSFORM 33
vi ■ Contents
2.3 PHASE DEMODULATION BASED ON WINDOWED
FOURIER TRANSFORM 41
2.3.1 Principle of Windowed Fourier Transform for
Phase Demodulation 41
2.3.2 Deficiency of Windowed Fourier Transform with
an Invariable Window Size 42
2.4 PHASE DEMODULATION BASED ON ADAPTIVE
WINDOWED FOURIER TRANSFORM 45
2.4.1 Principle of Adaptive Windowed Fourier Transform 45
2.4.2 Principle of the Determination of the Scale Factor
for AW FT 46
2.5 NUMERICAL ANALYSIS 49
2.5.1 Numerical Analysis by FT 49
2.5.2 Numerical Analysis by WFT with an Invariable
Window Size 51
2.5.3 Numerical Analysis by AWFT 54
2.6 EXPERIMENTAL ANALYSIS EXAMPLE 60
2.7 CONCLUSION 64
REFERENCES 65
Chapter 3 ■ Continuous Wavei et Transforms 69
L։oni i R. Watkins
3.1 INTRODUCTION 69
3.2 THE ONE-DIMENSIONAL CONTINUOUS WAVELET
TRANSFORM 70
3.3 WAVELET CENTERS AND BANDWIDTHS 78
3.3.1 Heisenberg Principle 84
3.4 SCALOGRAMS 84
3.5 RIDGE OF THE CONTINUOUS WAVELET TRANSFORM 85
3.6 THE GRADIENT METHOD 89
3.6.1 Correcting the Instantaneous Frequency 90
3.7 THE PHASE METHOD 92
Contents ■ vii
3.8 FOURIER APPROACH TO CWT 93
3.9 EFFECT OF DISCONTINUITIES AT THE SIGNAL EDGE 95
3.10 ONE-DIMENSIONAL WAVELET FUNCTIONS 97
3.11 TWO-DIMENSIONAL CONTINUOUS WAVELET
TRANSFORM 103
3.12 CONCLUSIONS 116
APPENDIX A 118
RIDGE OF THE TWO-DIMENSIONAL CWT 118
REFERENCES 118
Chapter 4 ■ The Spiral Phase Transform 121
KitRAN G. Larkin
4.1 INTRODUCTION 121
4.2 THEORY 121
4.2.1 Demodulation in One and Two Dimensions 121
4.2.2 Quadrature Signals 124
4.2.3 Intrinsically 1-D Structure of 2-D Fringe Patterns 125
4.2.4 SIGNUM Returns 127
4.3 IMPLEMENTATION 128
4.3.1 Vortex Operator Algorithm 128
4.3.2 Orientation and Direction Estimation 131
4.4 WHEN TO USE THE SPIRAL PHASE TRANSFORM 133
4.4.1 Single Frame: Open or Closed Fringes 133
4.4.2 Amplitude Demodulation and Fringe Normalization 133
4.4.3 Multiframe Sequences with Arbitrary (and
Unknown) Phase Shifts 134
4.4.4 Other Fringe-like Patterns 134
4.5 PRACTICAL DEMODULATION EXAMPLE 134
4.6 SUMMARY 138
REFERENCES 138
viii ■ Contents
Chapter 5 ■ Regularized Phase Estimation Methods in
__________Interferometry_________________________141
Moists Рлоиіл AND MaNUU SlRVIN
5.1 INTRODUCTION 141
5.2 REGULARIZED LOW-PASS LINEAR FILTERING 144
5.2.1 Frequency Response of Low-Pass Regularizing
Filters 148
5.3 CONVOLUTION-BASED TEMPORAL PHASE-
SHIFTING INTERFEROMETRY 153
5.4 SPATIALLY REGULARIZED TEMPORAL LINEAR
CARRIER INTERFEROMETRY 158
5.5 CONVOLUTION-BASED SPATIAL-CARRIER
INTERFEROMETRY 161
5.6 REGULARIZATION IN GENERAL SPATIAL CARRIER
INTERFEROMETRY 163
5.7 TEMPORAL REGULARIZATION IN PHASE-SHIFTING
INTERFEROMETRY 167
5.8 REGULARIZED PHASE ESTIMATION OF SINGLE-
IMAGE CLOSED-FRINGES INTERFEROGRAMS 170
5.9 REGULARIZED SPATIAL INTERPOLATION-
EXTRAPOLATION IN INTERFEROMETRY 173
5.10 REGULARIZATION IN LATERAL SHEARING
INTERFEROMETRY 174
5.10.1 Standard Method for Wavefront Estimation in
Lateral Shearing Interferometry 176
5.10.2 Regularized Methods for Wavefront Estimation in
Lateral Shearing Interferometry 179
5.11 CONCLUSIONS 182
REFERENCES 183
Chapter 6 ■ Local Polynomial Phase Modeling and Estimation 187
Gannavarpu Raish£khar, Sai Siva Gortiii, and Pramoo Rastogi
6.1 INTRODUCTION 187
6.2 DIGITAL HOLOGRAPHIC INTERFEROMETRY 188
6.3 PRINCIPLE 193
Contents ■ ix
6.4 MAXIMUM LIKELIHOOD ESTIMATION 199
6.5 CUBIC PHASE FUNCTION 206
6.6 HIGH-ORDER AMBIGUITY FUNCTION 213
6.7 PHASE-DIFFERENCING OPERATOR 222
6.8 CONCLUSIONS 230
REFERENCES 231
Chapter 7 ■ Signal-Processing Methods in Phase-Shifting
Interferometry 235
Abmiiit Path , Railsh Langoiu, and Pramoo Rastooi
7.1 INTRODUCTION 235
7.2 TEMPORAL TECHNIQUES 237
7.3 LINEAR PHASE STEP ESTIMATION METHODS 241
7.3.1 Multiple Signal Classification Method: root-MUSIC 241
7.3.2 Multiple Signal Classification Method:
spectral-MUSIC 243
7.3.3 Estimation of Signal Parameter via Rotational
Invariance Technique 248
7.4 EVALUATION OF PHASE DISTRIBUTION 251
7.4.1 Evaluation of Linear Phase Step Estimation Methods 252
7.4.2 Phase Extraction Using ESPRIT: Experimental Results 253
7.5 DUAL PZT IN HOLOGRAPHIC MOIRÉ 255
7.6 EVALUATION OF PHASE DISTRIBUTION IN
HOLOGRAPHIC MOIRÉ 256
7.6.1 Holographic Moiré Experiments 257
7.7 NONLINEAR PHASE STEP ESTIMATION METHOD 259
7.7.1 Nonlinear Maximum Likelihood Estimation
Method for Holographic Interferometry 262
7.7.2 Evaluation of Nonlinear Phase Step Estimation
Method 264
7.7.3 Nonlinear Maximum Likelihood Estimation
Method for Holographic Moiré 266
7.7.4 Evaluation of Nonlinear Phase Step Estimation
Method for Holographic Moiré 268
x ■ Contents
7.8 SUMMARY OF SIGNAL-PROCESSING METHODS 269
REFERENCES 271
Chapter 8 ■ Phase Unwrapping 273
Davih R. Burton
8.1 INTRODUCTION 273
8.2 THE BASIC OPERATION OF PHASE UNWRAPPING 276
8.3 PHASE UNWRAPPING: THE PRACTICAL ISSUES AND
CHALLENGES 279
8.4 PHASE UNWRAPPING AND DEFENSIVE
PROGRAMMING 280
8.5 PHASE-UNWRAPPING ALGORITHMS 281
8.5.1 Path-Guiding Unwrapping Algorithms 281
8.5.2 Area-Based Unwrapping Algorithms 287
8.5.3 Other Methods of Phase Unwrapping 289
8.6 ONLINE SOURCES OF UNWRAPPING CODES 290
8.7 CONCLUSION 290
REFERENCES 291
Chapter 9 ■ Uncertainty in Phase Measurements______293
Erwin Hack
9.1 INTRODUCTION 293
9.2 INFLUENCE QUANTITIES 296
9.2.1 Test Object and Environment 296
9.2.2 Illumination and Image Acquisition 296
9.2.3 Phase Retrieval and Image Processing 296
9.3 QUANTIFICATION OF UNCERTAINTY
CONTRIBUTIONS 298
9.4 UNCERTAINTY CONTRIBUTIONS FOR IMAGING 300
9.4.1 Lateral and Temporal Image Resolution 300
9.4.2 Signal-Independent Contributions 301
9.4.3 Signal-Dependent Contributions 303
Contents ■ xi
9.5 UNCERTAINTY CONTRIBUTIONS FOR LINEAR
PHASE-STEPPING ALGORITHMS 304
9.5.1 Combined Uncertainty 304
9.5.2 Uncertainty from Uncorrelated Influences 306
9.5.3 Uncertainty from Phase Stepping 307
9.5.4 Example of Combined Uncertainty 312
9.6 PHASE MEASUREMENT UNCERTAINTY FOR CARRE-
TYPE ALGORITHMS 316
9.7 PHASE MEASUREMENT UNCERTAINTY FOR SINGLE-
FRAME ALGORITHMS 317
9.7.1 Relation to Linear Phase-Stepping Algorithms 317
9.7.2 Combined Phase Measurement Uncertainty 321
9.7.3 Uncertainty from Uncorrelated Influences 323
9.7.4 Uncertainty from Correlated Influences 324
9.8 SUMMARY 326
REFERENCES 326
INDEX,331
Physics
Phase Estimation in
Optical Interferometry
Phase Estimation in Optical Interferometry covers the essentials of
phase-stepping algorithms used in interferometry and pseudointerferometric
techniques. It presents the basic concepts and mathematics needed for
understanding the phase estimation methods in use today.
The first four chapters focus on phase retrieval from image transforms using
a single frame. Chapters 5 through 8 examine the local environment of a
fringe pattern, give a broad picture of the phase estimation approach based
on local polynomial phase modeling, cover temporal high-resolution phase
evaluation methods, and present methods of phase unwrapping. The final
chapter discusses experimental imperfections that are liable to adversely
influence the accuracy of phase measurements.
Responding to the push for the deployment of novel technologies and fast·
evolving techniques, this book provides a framework for understanding
various modern phase estimation methods. It also helps readers get a
comparative view of the performance and limitations of the approaches.
Features
• Discusses important aspects that must be taken into account in
both spatial and temporal phase measurements
• Covers a range of algorithms, including the vortex operator, phase-
unwrapping, linear phase-stepping, Carré-type, and single-frame
algorithms
• Compares the performance and limitations of various approaches
• Explains how the spiral phase transform allows retrieving phase
from fringe patterns containing closed fringes
• Describes how to minimize several systematic and random errors
that arise during phase measurements
Cover illustration by courtesy of Prof Mitsuo Takeda.
Phase unwrapping constitutes an essential part of phase estimation in optical interferometry. The wrapped
phase map in the right with 2 pi phase Jumps is unwrapped into the continuous phase in the left.
CRC Press
Taylor (* Francis Croup
an informa business
www.crcpress.com
: BN 9 7 8“ 1 ~ 1 T8“0 7 365 -a
|
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| indexdate | 2024-07-10T07:51:03Z |
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| isbn | 9781138033658 9781466598317 |
| language | English |
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| spelling | Phase estimation in optical interferometry edited by Pramod Rastogi, Erwin Hack First issued in paperback Boca Raton ; London ; New York CRC Press 2016 xxii, 336 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Interferometrie (DE-588)4027296-5 gnd rswk-swf Optische Messung (DE-588)4121429-8 gnd rswk-swf Optische Messung (DE-588)4121429-8 s Interferometrie (DE-588)4027296-5 s DE-604 Rastogi, Pramod K. 1951- (DE-588)12143639X edt Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029773137&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029773137&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Phase estimation in optical interferometry Interferometrie (DE-588)4027296-5 gnd Optische Messung (DE-588)4121429-8 gnd |
| subject_GND | (DE-588)4027296-5 (DE-588)4121429-8 |
| title | Phase estimation in optical interferometry |
| title_auth | Phase estimation in optical interferometry |
| title_exact_search | Phase estimation in optical interferometry |
| title_full | Phase estimation in optical interferometry edited by Pramod Rastogi, Erwin Hack |
| title_fullStr | Phase estimation in optical interferometry edited by Pramod Rastogi, Erwin Hack |
| title_full_unstemmed | Phase estimation in optical interferometry edited by Pramod Rastogi, Erwin Hack |
| title_short | Phase estimation in optical interferometry |
| title_sort | phase estimation in optical interferometry |
| topic | Interferometrie (DE-588)4027296-5 gnd Optische Messung (DE-588)4121429-8 gnd |
| topic_facet | Interferometrie Optische Messung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029773137&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029773137&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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