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Library of Congress Cataloging-in-Publication Data Blanche, Pierre-Alexandre, author. Field guide to holography / Pierre-Alexandre Blanche. pages cm. – (SPIE field guides ; FG31) Includes bibliographical references and index. ISBN 978-0-8194-9957-8 1. Holography. I. Title. II. Series: SPIE field guides; FG31. QC449.B53 2014 621.36075–dc23 2013039089 Published by SPIE P.O. Box 10 Bellingham, Washington 98227-0010 USA Phone: 360.676.3290 Fax: 360.647.1445 Email: books@spie.org The content of this book reflects the thought of the author(s). Every effort has been made to publish reliable and accurate information herein, but the publisher is not responsible for the validity of the information or for any outcomes resulting from reliance thereon. Printed in the United States of America. First printing Introduction to the SeriesWelcome to the SPIE Field Guides—a series of publications written directly for the practicing engineer or scientist. Many textbooks and professional reference books cover optical principles and techniques in depth. The aim of the SPIE Field Guides is to distill this information, providing readers with a handy desk or briefcase reference that provides basic, essential information about optical principles, techniques, or phenomena, including definitions and descriptions, key equations, illustrations, application examples, design considerations, and additional resources. A significant effort will be made to provide a consistent notation and style between volumes in the series. Each SPIE Field Guide addresses a major field of optical science and technology. The concept of these Field Guides is a format-intensive presentation based on figures and equations supplemented by concise explanations. In most cases, this modular approach places a single topic on a page, and provides full coverage of that topic on that page. Highlights, insights, and rules of thumb are displayed in sidebars to the main text. The appendices at the end of each Field Guide provide additional information such as related material outside the main scope of the volume, key mathematical relationships, and alternative methods. While complete in their coverage, the concise presentation may not be appropriate for those new to the field. The SPIE Field Guides are intended to be living documents. The modular page-based presentation format allows them to be updated and expanded. We are interested in your suggestions for new Field Guide topics as well as what material should be added to an individual volume to make these Field Guides more useful to you. Please contact us at fieldguides@SPIE.org. John E. Greivenkamp, Series Editor College of Optical Sciences The University of Arizona The Field Guide Series
Field Guide to HolographyFew people can forget their first time seeing a hologram: the ghostlike image floating in space, changing its appearance in response to movement. Holograms have stirred childlike wonder in scientists and rapt curiosity in generations of schoolchildren. Abundantly depicted in science fiction novels and movies, holography is still imprinted with the dream of a better future through science and technology. Nowadays, holography plays a critical role in applications as diverse as credit card security, nondestructive testing of composite materials, and data storage and processing. Holography is one of the rare techniques that can transcend the realm of science into the magic of art. The primary objective of this Field Guide is to present an overview of the various concepts of holography, including a theoretical foundation, a description of the different types of holograms (both optical- and computer-based), techniques used to produce them, and the most common recording materials. It is meant to provide the student, scholar, researcher, engineer, or professor with a broad panorama of the field and to help readers explore holography and understand its technical aspects and methodology. Holography is not reserved solely for scientists with expensive equipment—it is a hobby and a passion that can be enjoyed by anyone with an interest in science who wants to make their own holograms. I hope that this Field Guide can demystify holography, but keep the wonder untouched and inspire you to discover the beauty of optical sciences. Pierre-Alexandre Blanche College of Optical Sciences The University of Arizona December 2013 Table of ContentsGlossary ix Introduction and Basic Concepts 1 Historical Background 1 Optical Field: Plane Wave 2 Optical Field: Complex Notation and Spherical Waves 3 Interference 4 Coherent Waves 6 Diffraction 7 Holograms 8 Diffraction Grating and Orders 9 Holographic Optical Elements 10 Holography outside the Visible Spectrum 11 Theory and Mathematical Formalism 12 Grating Equation 12 Angular Dispersion 13 Bragg’s Law 14 Grating Vector 15 Classification of Holograms 16 Reflection Geometry 17 Transmission Geometry 18 Thin/Thick Criteria 19 Analytic Coupled-Wave Analysis of Thick, Unslanted Gratings 20 Rigorous Coupled-Wave Analysis 22 Dispersion of Thick-Volume Gratings 23 Remarkable Thin Gratings 24 Scalar Theory of Diffraction: Kirchhoff Diffraction Integral 26 Fresnel Diffraction Integral 27 Fraunhofer Diffraction Integral 28 Diffraction by Simple Apertures 29 Remarkable Interference Patterns 31 Interference Recording and Reconstruction Formalization 33 Aberrations in Holograms 35 Computer-Generated Holograms 37 Errors in Computer-Generated Holograms 39 Space–Bandwidth Product 41 Holographic Setups 42 Inline Transmission Hologram (Gabor) 42 Inline Reflection Hologram (Denisyuk) 43 Off-axis Transmission Hologram (Leith and Upatnieks) 44 Imaging Consideration of Transmission Holograms 45 Transfer Hologram (H2) 46 Rainbow Hologram (Benton) 47 Edge-Lit Holograms 48 Holographic Stereograms 49 Color Holograms 50 Lippmann Photography 52 Multiplexing 53 Holographic Interferometry 54 Phase Conjugate Mirror 55 Digital Holography 56 Holographic Television 57 3D Perception and Holograms 58 Phase Stabilization 60 Holographic Recording Materials 62 Silver Halide 62 Photopolymer 63 Dichromated Gelatin 64 Photochromic Materials 65 Photoresists and Embossed Holograms 66 Polarization-Sensitive Material 67 Photorefractive Materials 68 Inorganic and Organic Photorefractive Materials 69 Acousto-optic Modulator (Bragg Cell) 70 Spatial Light Modulators 71 Equation Summary 73 Bibliography 77 Index 78 Glossary
Unit polarization vector: A Complex vector electric field amplitude (containing the polarization information) A Scalar electric field amplitude c Speed of light d Hologram thickness D Aperture diameter DMD Digital micromirror device ds Elemental surface element (2D) E Electric field (scalar) E Vector electric field
Unit basis vector
Fourier transform F Fresnel number i Imaginary unit I Intensity k Wave vector K Grating vector LCoS Liquid crystal on silicon m Integer number MOEMS Micro-opto-electro-mechanical system n Index of refraction N Numbers of elements composing a computer-generated hologram N h Number of holograms recorded within the media r Position vector
Real part SBP Space–bandwidth product SLM Spatial light modulator TE Transverse electric polarization mode (s-polarization) TM Transverse magnetic polarization mode (p-polarization) U Scalar electric field in complex notation U Vector electric field in complex notation U* Complex conjugate of the complex expression U V Interference pattern visibility
Unit Cartesian coordinate vectors
coordinates at position
Optical axis
Partial derivative
Absorption coefficient
Material dynamic range, either amplitude or phase
Refractive index modulation (half the amplitude)
Spatial extent in dimensions
Spatial extent in the direction
Absorption coefficient modulation (half the amplitude)
Light source spectral linewidth in the wavelength domain
Spatial frequency bandwidth
Phase difference
Light source spectral linewidth in the frequency domain
Diffraction efficiency
Beam angle (relative to the surface normal)
Bragg angle
Diffracted beam angle
Incident beam angle
Reflection beam angle
Light wavelength
Grating spacing, distance between Bragg planes
Polarization vector angle
Phase angle
Slant angle
Light-wave frequency |
CITATIONS
Holographic interferometry
Holography
Holograms
Diffraction gratings
Adaptive optics
Atmospheric optics
Geometrical optics