Digital Holography

This book presents a substantial description of the principles and applications of digital holography. The first part of the book deals with mathematical basics and the linear filtering theory necessary to approach the topic. The next section describes the fundamentals of the diffraction theory and exhaustively describes the numerical computation of diffracted fields using FFT algorithms. A thorough presentation of the principles of holography and digital holography, including digital color holography, is proposed in the third section. A special section is devoted to the algorithms and methods for the numerical reconstruction of holograms. A special chapter is devoted to digital holographic interferometry with applications in holographic microscopy, quantitative phase contrast imaging, multidimensional deformation investigations, surface shape measurements, fluid mechanics, refractive index investigations, synthetic aperture imaging and information encrypting. Keys so as to understand differences between digital holography and speckle interferometry and examples of software for hologram reconstructions are also treated briefly.

Pascal Picart has been Associate Professor at Université du Maine-Ecole Nationale Supérieure d'Ingénieurs du Mans (ENSIM, Le Mans, France) since 2005. His research interests include speckle metrology, optoacoustic spectroscopy, and optical biosensors. The current emphasis of his research program is on the development of new techniques in digital holography, holographic image processing, phase imaging and applications in the field of acoustics, structural mechanics and fluid mechanics. He is author/co-author of more than 140 scientific articles, 51 of which were peer-reviewed papers published in international journals.

Jun-chang Li became Director of the Laboratory of Laser Applications at Kunming University of Sciences and Technologies (Kunming, China) in 1987. He has managed several projects funded by the National Science Agency of China and he is author/co-author of three books and more than 50 peer reviewed papers published in international journals. The current emphasis of his research program is on the development of computation methods for diffraction, wave front reconstruction and digital holographic image processing.

Introduction xv

Chapter 1. Mathematical Prerequisites 1

Chapter 2. The Scalar Theory of Diffraction 27

Chapter 3. Calculating Diffraction by Fast Fourier Transform 77

Chapter 4. Fundamentals of Holography 115

Chapter 5. Digital Off-Axis Fresnel Holography 165

Chapter 6. Reconstructing Wavefronts Propagated through an Optical System 237

Chapter 7. Digital Holographic Interferometry and Its Applications 271

Appendix. Examples of Digital Hologram Reconstruction Programs 319

Bibliography 339

Index 355

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Summary

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Table of Contents

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