Phase Estimation in Optical Interferometry: 1st Edition (Paperback) book cover

Phase Estimation in Optical Interferometry

1st Edition

Edited by Pramod Rastogi, Erwin Hack

CRC Press

366 pages | 17 Color Illus. | 305 B/W Illus.

Purchasing Options:$ = USD
Paperback: 9781138033658
pub: 2016-10-19
SAVE ~$17.39
$86.95
$69.56
x
Hardback: 9781466598317
pub: 2014-11-21
SAVE ~$44.00
$220.00
$176.00
x
eBook (VitalSource) : 9780429165245
pub: 2014-11-21
from $41.98


FREE Standard Shipping!

Description

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.

Table of Contents

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 MOIRÉ

EVALUATION OF PHASE DISTRIBUTION IN HOLOGRAPHIC MOIRÉ

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 CARRÉ-TYPE ALGORITHMS

PHASE MEASUREMENT UNCERTAINTY FOR SINGLE-FRAME ALGORITHMS

SUMMARY

REFERENCES

Index

About the Editors

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.

Subject Categories

BISAC Subject Codes/Headings:
SCI055000
SCIENCE / Physics
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical
TEC019000
TECHNOLOGY & ENGINEERING / Lasers & Photonics