Phase estimation in optical interferometry

This book covers the essentials of phase-stepping algorithms used in interferometry and pseudointerferometric techniques. It presents the basic concepts and mathematics needed for understanding modern phase estimation methods. The book first focuses on phase retrieval from image transforms using a single frame. It then examines the local environment of a fringe pattern, the phase estimation approach based on local polynomial phase modeling, temporal high-resolution phase evaluation methods, and methods of phase unwrapping. It also discusses experimental imperfections liable to adversely influence the accuracy of phase measurements. "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"-- Provided by publisher Front Cover 1 Contents 7 Preface 15 About the Editors 19 List of Contributors 21 Abbreviations 23 Chapter 1: Fourier Fringe Demodulation 25 Chapter 2: Windowed Fourier Transforms 55 Chapter 3: Continuous Wavelet Transforms 93 Chapter 4: The Spiral Phase Transform 145 Chapter 5: Regularized Phase Estimation Methods in Interferometry 165 Chapter 6: Local Polynomial Phase Modeling and Estimation 211 Chapter 7: Signal-Processing Methods in Phase-Shifting Interferometry 259 Chapter 8: Phase Unwrapping 297 Chapter 9: Uncertainty in Phase Measurements 317 Back Cover 363 "This tutorial-style book reviews experimental approaches for the analysis of solid mechanics based on interference-optical methods, including coherent-optical techniques and photoelastic methods. Suitable for advanced students, young researchers, and practicing metrologists and engineers, it describes the theory and scope of application in everyday practice. Takes a practical approach, the book familiarizes readers with various techniques and explains how and when to apply them"-- Provided by publisher