Phase Estimation in Optical Interferometry

ISBN: 9781138033658 出版年：2014 页码：364 CRC Press

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