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Phase Estimation in Optical Interferometry [Pehme köide]

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  • Formaat: Paperback / softback, 366 pages, kõrgus x laius: 234x156 mm, kaal: 680 g, 8 Tables, black and white; 17 Illustrations, color; 305 Illustrations, black and white
  • Ilmumisaeg: 19-Oct-2016
  • Kirjastus: CRC Press
  • ISBN-10: 1138033650
  • ISBN-13: 9781138033658
Teised raamatud teemal:
Phase Estimation in Optical InterferometrySuurem pilt
  • Formaat: Paperback / softback, 366 pages, kõrgus x laius: 234x156 mm, kaal: 680 g, 8 Tables, black and white; 17 Illustrations, color; 305 Illustrations, black and white
  • Ilmumisaeg: 19-Oct-2016
  • Kirjastus: CRC Press
  • ISBN-10: 1138033650
  • ISBN-13: 9781138033658
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781138033658.html
Märksõnad:

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. The next several chapters 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.

Preface xiii
About the Editors xvii
List of Contributors xix
Abbreviations xxi
Chapter 1 Fourier Fringe Demodulation 1(30)
Mitsuo Takeda
1.1 Introduction
1(1)
1.2 Principle Of The Generic FTM For Fringe Demodulation
2(9)
1.3 General Features Of The FTM
11(4)
1.4 Applications Of Fourier Fringe Demodulation
15(12)
1.4.1 Vibration Mode Measurement
15(2)
1.4.2 Imaging Polarimetry
17(4)
1.4.3 Plasma Diagnosis
21(2)
1.4.4 X-ray Phase Tomography
23(1)
1.4.5 Measurement of Ultrashort Optical Pulses
24(3)
1.5 Conclusion
27(1)
References
28(3)
Chapter 2 Windowed Fourier Transforms 31(38)
Jingang Zhong
Jiawen Weng
2.1 Introduction
31(2)
2.2 Phase Demodulation Based On Fourier Transform
33(8)
2.3 Phase Demodulation Based On Windowed Fourier Transform
41(4)
2.3.1 Principle Of Windowed Fourier Transform For Phase Demodulation
41(1)
2.3.2 Deficiency Of Windowed Fourier Transform With An Invariable Window Size
42(3)
2.4 Phase Demodulation Based On Adaptive Windowed Fourier Transform
45(4)
2.4.1 Principle Of Adaptive Windowed Fourier Transform
45(1)
2.4.2 Principle Of The Determination Of The Scale Factor For AWFT
46(3)
2.5 Numerical Analysis
49(11)
2.5.1 Numerical Analysis By FT
49(2)
2.5.2 Numerical Analysis By WFT With An Invariable Window Size
51(3)
2.5.3 Numerical Analysis By AWFT
54(6)
2.6 Experimental Analysis Example
60(4)
2.7 Conclusion
64(1)
References
65(4)
Chapter 3 Continuous Wavelet Transforms 69(52)
Lionel R. Watkins
3.1 Introduction
69(1)
3.2 The One-Dimensional Continuous Wavelet Transform
70(8)
3.3 Wavelet Centers And Bandwidths
78(6)
3.3.1 Heisenberg Principle
84(1)
3.4 Scalograms
84(1)
3.5 Ridge Of The Continuous Wavelet Transform
85(4)
3.6 The Gradient Method
89(3)
3.6.1 Correcting the Instantaneous Frequency
90(2)
3.7 The Phase Method
92(1)
3.8 Fourier Approach To CWT
93(2)
3.9 Effect Of Discontinuities At The Signal Edge
95(2)
3.10 One-Dimensional Wavelet Functions
97(6)
3.11 Two-Dimensional Continuous Wavelet Transform
103(13)
3.12 Conclusions
116(2)
Appendix A
118(1)
Ridge of the Two-Dimensional CWT
118(1)
References
118(3)
Chapter 4 The Spiral Phase Transform 121(20)
Kieran G. Larkin
4.1 Introduction
121(1)
4.2 Theory
121(7)
4.2.1 Demodulation in One and Two Dimensions
121(3)
4.2.2 Quadrature Signals
124(1)
4.2.3 Intrinsically 1-D Structure of 2-D Fringe Patterns
125(2)
4.2.4 Signum Returns
127(1)
4.3 Implementation
128(5)
4.3.1 Vortex Operator Algorithm
128(3)
4.3.2 Orientation and Direction Estimation
131(2)
4.4 When To Use The Spiral Phase Transform
133(1)
4.4.1 Single Frame: Open or Closed Fringes
133(1)
4.4.2 Amplitude Demodulation and Fringe Normalization
133(1)
4.4.3 Multiframe Sequences with Arbitrary (and Unknown) Phase Shifts
134(1)
4.4.4 Other Fringe-like Patterns
134(1)
4.5 Practical Demodulation Example
134(4)
4.6 Summary
138(1)
References
138(3)
Chapter 5 Regularized Phase Estimation Methods in Interferometry 141(46)
Moises Padilla
Manuel Servin
5.1 Introduction
141(3)
5.2 Regularized Low-Pass Linear Filtering
144(9)
5.2.1 Frequency Response of Low-Pass Regularizing Filters
148(5)
5.3 Convolution-Based Temporal Phase- Shifting Interferometry
153(5)
5.4 Spatially Regularized Temporal Linear Carrier Interferometry
158(3)
5.5 Convolution-Based Spatial-Carrier Interferometry
161(2)
5.6 Regularization In General Spatial Carrier Interferometry
163(4)
5.7 Temporal Regularization In Phase-Shifting Interferometry
167(3)
5.8 Regularized Phase Estimation Of Single- Image Closed-Fringes Interferograms
170(3)
5.9 Regularized Spatial Interpolation- Extrapolation In Interferometry
173(1)
5.10 Regularization In Lateral Shearing Interferometry
174(8)
5.10.1 Standard Method For Wavefront Estimation In Lateral Shearing Interferometry
176(3)
5.10.2 Regularized Methods For Wavefront Estimation In Lateral Shearing Interferometry
179(3)
5.11 Conclusions
182(1)
References
183(4)
Chapter 6 Local Polynomial Phase Modeling And Estimation 187(48)
Gannavarpu Raishekhar
Sai Siva Gorthi
Pramod Rastogi
6.1 Introduction
187(1)
6.2 Digital Holographic Interferometry
188(5)
6.3 Principle
193(6)
6.4 Maximum Likelihood Estimation
199(7)
6.5 Cubic Phase Function
206(7)
6.6 High-Order Ambiguity Function
213(9)
6.7 Phase-Differencing Operator
222(8)
6.8 Conclusions
230(1)
References
231(4)
Chapter 7 Signal-Processing Methods in Phase-Shifting Interferometry 235(38)
Abhijit Patil
Rajesh Langoju
Pramod Rastogi
7.1 Introduction
235(2)
7.2 Temporal Techniques
237(4)
7.3 Linear Phase Step Estimation Methods
241(10)
7.3.1 Multiple Signal Classification Method: root-MUSIC
241(2)
7.3.2 Multiple Signal Classification Method: spectral-MUSIC
243(5)
7.3.3 Estimation of Signal Parameter via Rotational Invariance Technique
248(3)
7.4 Evaluation Of Phase Distribution
251(4)
7.4.1 Evaluation of Linear Phase Step Estimation Methods
252(1)
7.4.2 Phase Extraction Using ESPRIT: Experimental Results
253(2)
7.5 Dual PZT In Holographic Moire
255(1)
7.6 Evaluation Of Phase Distribution In Holographic Moire
256(3)
7.6.1 Holographic Moire Experiments
257(2)
7.7 Nonlinear Phase Step Estimation Method
259(10)
7.7.1 Nonlinear Maximum Likelihood Estimation Method for Holographic Interferometry
262(2)
7.7.2 Evaluation of Nonlinear Phase Step Estimation Method
264(2)
7.7.3 Nonlinear Maximum Likelihood Estimation Method for Holographic Moire
266(2)
7.7.4 Evaluation of Nonlinear Phase Step Estimation Method for Holographic Moire
268(1)
7.8 Summary Of Signal-Processing Methods
269(2)
References
271(2)
Chapter 8 Phase Unwrapping 273(20)
David R. Burton
8.1 Introduction
273(3)
8.2 The Basic Operation Of Phase Unwrapping
276(3)
8.3 Phase Unwrapping: The Practical Issues And Challenges
279(1)
8.4 Phase Unwrapping And Defensive Programming
280(1)
8.5 Phase-Unwrapping Algorithms
281(9)
8.5.1 Path-Guiding Unwrapping Algorithms
281(6)
8.5.2 Area-Based Unwrapping Algorithms
287(2)
8.5.3 Other Methods of Phase Unwrapping
289(1)
8.6 Online Sources Of Unwrapping Codes
290(1)
8.7 Conclusion
290(1)
References
291(2)
Chapter 9 Uncertainty In Phase Measurements 293(38)
Erwin Hack
9.1 Introduction
293(3)
9.2 Influence Quantities
296(2)
9.2.1 Test Object and Environment
296(1)
9.2.2 Illumination and Image Acquisition
296(1)
9.2.3 Phase Retrieval and Image Processing
296(2)
9.3 Quantification Of Uncertainty Contributions
298(2)
9.4 Uncertainty Contributions For Imaging
300(4)
9.4.1 Lateral and Temporal Image Resolution
300(1)
9.4.2 Signal-Independent Contributions
301(2)
9.4.3 Signal-Dependent Contributions
303(1)
9.5 Uncertainty Contributions For Linear Phase-Stepping Algorithms
304(12)
9.5.1 Combined Uncertainty
304(2)
9.5.2 Uncertainty from Uncorrelated Influences
306(1)
9.5.3 Uncertainty from Phase Stepping
307(5)
9.5.4 Example of Combined Uncertainty
312(4)
9.6 Phase Measurement Uncertainty For Carretype Algorithms
316(1)
9.7 Phase Measurement Uncertainty For Singleframe Algorithms
317(9)
9.7.1 Relation to Linear Phase-Stepping Algorithms
317(4)
9.7.2 Combined Phase Measurement Uncertainty
321(2)
9.7.3 Uncertainty from Uncorrelated Influences
323(1)
9.7.4 Uncertainty from Correlated Influences
324(2)
9.8 Summary
326(1)
References
326(5)
Index 331
Professor Pramod Rastogi is the author or coauthor of over 150 scientific papers in peer-reviewed archival journals, the author of encyclopedia articles, and editor of several books in the field of optical metrology. Professor Rastogi is also the co-editor-in-chief of the International Journal of Optics and Lasers in Engineering. A recipient of the 2014 SPIE Dennis Gabor Award, he is a member of the Swiss Academy of Engineering Sciences and a fellow of the Society of the Photo-Optical Instrumentation Engineers and the Optical Society of America. He received a PhD from the University of Franche Comté.

Dr. Erwin Hack is a senior scientist at EMPA, lecturer at ETH Zurich, associate editor of Optics and Lasers in Engineering, vice chair of CEN WS71 on validation of computational solid mechanics models using strain fields from calibrated measurement (VANESSA), vice president of the Swiss Society for Non-Destructive Testing, and a member of EOS and OSA. Dr. Hack has authored or coauthored more than 80 papers in peer-reviewed journals and conferences and coedited the book Optical Methods in Solid Mechanics. He received a PhD in physical chemistry from the University of Zurich. His research interests include THz imaging, digital speckle pattern interferometry, and thermography.