Phase Estimation in Optical Interferometry

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Opis: 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. 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.Fourier Fringe Demodulation Mitsuo Takeda INTRODUCTION PRINCIPLE OF THE GENERIC FTM FOR FRINGE DEMODULATION GENERAL FEATURES OF THE FTM APPLICATIONS OF FOURIER FRINGE DEMODULATION CONCLUSION REFERENCES Windowed Fourier Transforms Jingang Zhong and Jiawen Weng INTRODUCTION PHASE DEMODULATION BASED ON FOURIER TRANSFORM PHASE DEMODULATION BASED ON WINDOWED FOURIER TRANSFORM PHASE DEMODULATION BASED ON ADAPTIVE WINDOWED FOURIER TRANSFORM NUMERICAL ANALYSIS EXPERIMENTAL ANALYSIS EXAMPLE CONCLUSION REFERENCES Continuous Wavelet Transforms Lionel R. Watkins INTRODUCTION THE ONE-DIMENSIONAL CONTINUOUS WAVELET TRANSFORM WAVELET CENTERS AND BANDWIDTHS SCALOGRAMS RIDGE OF THE CONTINUOUS WAVELET TRANSFORM THE GRADIENT METHOD THE PHASE METHOD FOURIER APPROACH TO CWT EFFECT OF DISCONTINUITIES AT THE SIGNAL EDGE ONE-DIMENSIONAL WAVELET FUNCTIONS TWO-DIMENSIONAL CONTINUOUS WAVELET TRANSFORM CONCLUSIONS APPENDIX A RIDGE OF THE TWO-DIMENSIONAL CWT REFERENCES The Spiral Phase Transform Kieran G. Larkin INTRODUCTION THEORY IMPLEMENTATION WHEN TO USE THE SPIRAL PHASE TRANSFORM PRACTICAL DEMODULATION EXAMPLE SUMMARY REFERENCES Regularized Phase Estimation Methods in Interferometry Moises Padilla and Manuel Servin INTRODUCTION REGULARIZED LOW-PASS LINEAR FILTERING CONVOLUTION-BASED TEMPORAL PHASE-SHIFTING INTERFEROMETRY SPATIALLY REGULARIZED TEMPORAL LINEAR CARRIER INTERFEROMETRY CONVOLUTION-BASED SPATIAL-CARRIER INTERFEROMETRY REGULARIZATION IN GENERAL SPATIAL CARRIER INTERFEROMETRY TEMPORAL REGULARIZATION IN PHASE-SHIFTING INTERFEROMETRY REGULARIZED PHASE ESTIMATION OF SINGLE-IMAGE CLOSED-FRINGES INTERFEROGRAMS REGULARIZED SPATIAL INTERPOLATION-EXTRAPOLATION IN INTERFEROMETRY REGULARIZATION IN LATERAL SHEARING INTERFEROMETRY CONCLUSIONS REFERENCES Local Polynomial Phase Modeling and Estimation Gannavarpu Rajshekhar, Sai Siva Gorthi, and Pramod Rastogi INTRODUCTION DIGITAL HOLOGRAPHIC INTERFEROMETRY PRINCIPLE MAXIMUM LIKELIHOOD ESTIMATION CUBIC PHASE FUNCTION HIGH-ORDER AMBIGUITY FUNCTION PHASE-DIFFERENCING OPERATOR CONCLUSIONS REFERENCES Signal-Processing Methods in Phase-Shifting Interferometry Abhijit Patil, Rajesh Langoju, and Pramod Rastogi INTRODUCTION TEMPORAL TECHNIQUES LINEAR PHASE STEP ESTIMATION METHODS EVALUATION OF PHASE DISTRIBUTION DUAL PZT IN HOLOGRAPHIC MOIRE EVALUATION OF PHASE DISTRIBUTION IN HOLOGRAPHIC MOIRE NONLINEAR PHASE STEP ESTIMATION METHOD SUMMARY OF SIGNAL-PROCESSING METHODS REFERENCES Phase Unwrapping David R. Burton INTRODUCTION THE BASIC OPERATION OF PHASE UNWRAPPING PHASE UNWRAPPING: THE PRACTICAL ISSUES AND CHALLENGES PHASE UNWRAPPING AND DEFENSIVE PROGRAMMING PHASE-UNWRAPPING ALGORITHMS ONLINE SOURCES OF UNWRAPPING CODES CONCLUSION REFERENCES Uncertainty in Phase Measurements Erwin Hack INTRODUCTION INFLUENCE QUANTITIES QUANTIFICATION OF UNCERTAINTY CONTRIBUTIONS UNCERTAINTY CONTRIBUTIONS FOR IMAGING UNCERTAINTY CONTRIBUTIONS FOR LINEAR PHASE-STEPPING ALGORITHMS PHASE MEASUREMENT UNCERTAINTY FOR CARRE-TYPE ALGORITHMS PHASE MEASUREMENT UNCERTAINTY FOR SINGLE-FRAME ALGORITHMS SUMMARY REFERENCES Index


Szczegóły: Phase Estimation in Optical Interferometry

Tytuł: Phase Estimation in Optical Interferometry
Producent: CRC Press Inc.
ISBN: 9781466598317
Rok produkcji: 2014
Ilość stron: 366
Oprawa: Twarda
Waga: 0.66 kg


Recenzje: Phase Estimation in Optical Interferometry

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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. 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.Fourier Fringe Demodulation Mitsuo Takeda INTRODUCTION PRINCIPLE OF THE GENERIC FTM FOR FRINGE DEMODULATION GENERAL FEATURES OF THE FTM APPLICATIONS OF FOURIER FRINGE DEMODULATION CONCLUSION REFERENCES Windowed Fourier Transforms Jingang Zhong and Jiawen Weng INTRODUCTION PHASE DEMODULATION BASED ON FOURIER TRANSFORM PHASE DEMODULATION BASED ON WINDOWED FOURIER TRANSFORM PHASE DEMODULATION BASED ON ADAPTIVE WINDOWED FOURIER TRANSFORM NUMERICAL ANALYSIS EXPERIMENTAL ANALYSIS EXAMPLE CONCLUSION REFERENCES Continuous Wavelet Transforms Lionel R. Watkins INTRODUCTION THE ONE-DIMENSIONAL CONTINUOUS WAVELET TRANSFORM WAVELET CENTERS AND BANDWIDTHS SCALOGRAMS RIDGE OF THE CONTINUOUS WAVELET TRANSFORM THE GRADIENT METHOD THE PHASE METHOD FOURIER APPROACH TO CWT EFFECT OF DISCONTINUITIES AT THE SIGNAL EDGE ONE-DIMENSIONAL WAVELET FUNCTIONS TWO-DIMENSIONAL CONTINUOUS WAVELET TRANSFORM CONCLUSIONS APPENDIX A RIDGE OF THE TWO-DIMENSIONAL CWT REFERENCES The Spiral Phase Transform Kieran G. Larkin INTRODUCTION THEORY IMPLEMENTATION WHEN TO USE THE SPIRAL PHASE TRANSFORM PRACTICAL DEMODULATION EXAMPLE SUMMARY REFERENCES Regularized Phase Estimation Methods in Interferometry Moises Padilla and Manuel Servin INTRODUCTION REGULARIZED LOW-PASS LINEAR FILTERING CONVOLUTION-BASED TEMPORAL PHASE-SHIFTING INTERFEROMETRY SPATIALLY REGULARIZED TEMPORAL LINEAR CARRIER INTERFEROMETRY CONVOLUTION-BASED SPATIAL-CARRIER INTERFEROMETRY REGULARIZATION IN GENERAL SPATIAL CARRIER INTERFEROMETRY TEMPORAL REGULARIZATION IN PHASE-SHIFTING INTERFEROMETRY REGULARIZED PHASE ESTIMATION OF SINGLE-IMAGE CLOSED-FRINGES INTERFEROGRAMS REGULARIZED SPATIAL INTERPOLATION-EXTRAPOLATION IN INTERFEROMETRY REGULARIZATION IN LATERAL SHEARING INTERFEROMETRY CONCLUSIONS REFERENCES Local Polynomial Phase Modeling and Estimation Gannavarpu Rajshekhar, Sai Siva Gorthi, and Pramod Rastogi INTRODUCTION DIGITAL HOLOGRAPHIC INTERFEROMETRY PRINCIPLE MAXIMUM LIKELIHOOD ESTIMATION CUBIC PHASE FUNCTION HIGH-ORDER AMBIGUITY FUNCTION PHASE-DIFFERENCING OPERATOR CONCLUSIONS REFERENCES Signal-Processing Methods in Phase-Shifting Interferometry Abhijit Patil, Rajesh Langoju, and Pramod Rastogi INTRODUCTION TEMPORAL TECHNIQUES LINEAR PHASE STEP ESTIMATION METHODS EVALUATION OF PHASE DISTRIBUTION DUAL PZT IN HOLOGRAPHIC MOIRE EVALUATION OF PHASE DISTRIBUTION IN HOLOGRAPHIC MOIRE NONLINEAR PHASE STEP ESTIMATION METHOD SUMMARY OF SIGNAL-PROCESSING METHODS REFERENCES Phase Unwrapping David R. Burton INTRODUCTION THE BASIC OPERATION OF PHASE UNWRAPPING PHASE UNWRAPPING: THE PRACTICAL ISSUES AND CHALLENGES PHASE UNWRAPPING AND DEFENSIVE PROGRAMMING PHASE-UNWRAPPING ALGORITHMS ONLINE SOURCES OF UNWRAPPING CODES CONCLUSION REFERENCES Uncertainty in Phase Measurements Erwin Hack INTRODUCTION INFLUENCE QUANTITIES QUANTIFICATION OF UNCERTAINTY CONTRIBUTIONS UNCERTAINTY CONTRIBUTIONS FOR IMAGING UNCERTAINTY CONTRIBUTIONS FOR LINEAR PHASE-STEPPING ALGORITHMS PHASE MEASUREMENT UNCERTAINTY FOR CARRE-TYPE ALGORITHMS PHASE MEASUREMENT UNCERTAINTY FOR SINGLE-FRAME ALGORITHMS SUMMARY REFERENCES Index

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