Modern Optical Engineering Other McGraw-Hill Titles of Interest FISCHER • Optical System Design HECHT • Laser Guidebook,Second Edition MILLER • Photonics Rules of Thumb MOUROULIS • Visual Instrumentation Handbook OSA • Handbook of Optics, Volumes I to IV OSA • Handbook of Opticson CD-ROM SMITH • Practical Optical System Layout SMITH • Modern Lens Design WAYNANT • Electro-Optics Handbook, Second Edition Modern Optical Engineering The Design of Optical Systems Warren J. Smith Chief Scientist, Kaiser Electro-Optics Inc. Carisbad, California and Consultant in Optics and Design Third Edition McGraw-Hill New York San Francisco Washington, D.C. Auckland Bogotá Caracas Lisbon London Madrid Mexico City Milan Montreal New Delhi San Juan Singapore Sydney Tokyo Toronto Library of Congress Cataloging-in-Publication Data Smith, Warren J. Modern optical engineering / Warren J. Smith—3rd ed. p. cm. Includes bibliographical references and index. ISBN 0-07-136360-2 1. Optical instruments—Design and construction. I. Title. TS513.S55 2000 621.36—dc21 00-032907 McGraw-Hill Copyright © 2000, 1990, 1966 by The McGraw-Hill Companies, Inc. Printed in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a data base or retrieval system, without the prior written permission of the publisher. 1 2 3 4 5 6 7 8 9 0 DOC/DOC 0 5 4 3 2 1 0 P/N 0-07-136379-3 PART OF ISBN 0-07-136360-2 The sponsoring editor of this book was Stephen S. Chapman. The editing supervisor was David E. Fogarty, and the production supervisor was Sherri Souffrance. It was set in New Century Schoolbook by Deirdre Sheean of McGraw-Hill’s Professional Book Group Hightstown composition unit. Printed and bound by R. R. Donnelley & Sons Company. This book was printed on recycled, acid-free paper containing a minimum of 50% recycled, de-inked fiber. 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If such services are required, the assistance of an appropriate professional should be sought. Contents Preface to the Third Edition xi Preface to the Second Edition xv Chapter 1. General Principles 1 1.1 The Electromagnetic Spectrum 1 1.2 Light Wave Propagation 2 1.3 Snell’s Law of Refraction 5 1.4 The Action of Simple Lenses and Prisms on Wave Fronts 8 1.5 Interference and Diffraction 11 1.6 The Photoelectric Effect 16 Bibliography 17 Exercises 18 Chapter 2. Image Formation (First-Order Optics) 21 2.1 Introduction 21 2.2 Cardinal Points of an Optical System 22 2.3 Image Position and Size 24 2.4 Refraction of a Light Ray at a Single Surface 30 2.5 The Paraxial Region 32 2.6 Paraxial Raytracing through Several Surfaces 34 2.7 Calculation of the Focal Points and Principal Points 39 2.8 The “Thin Lens” 42 2.9 Mirrors 43 2.10 Systems of Separated Components 45 2.11 The Optical Invariant 49 2.12 Matrix Optics 54 2.13 The y-ybar Diagram 55 2.14 The Scheimpflug Condition 55 2.15 The Summary of Sign Conventions 57 Bibliography 58 Exercises 59 v vi Contents Chapter 3. Aberrations 61 3.1 Introduction 61 3.2 The Aberration Polynomial and the Seidel Aberrations 62 3.3 Chromatic Aberrations 72 3.4 The Effect of Lens Shape and Stop Postion on the Aberrations 73 3.5 Aberration Variation with Aperture and Field 77 3.6 Optical Path Difference (Wave Front Aberrations) 79 3.7 Aberration Correction and Residuals 80 3.8 Ray Intercept Curves and the “Orders” of Aberrations 83 Bibliography 89 Exercises 89 Chapter 4. Prisms and Mirrors 91 4.1 Introduction 91 4.2 Dispersing Prisms 91 4.3 The “Thin” Prism 92 4.4 Minimum Deviation 94 4.5 The Achromatic Prism and the Direct Vision Prism 94 4.6 Total Internal Reflection 96 4.7 Reflection from a Plane Surface 97 4.8 Plane Parallel Plates 100 4.9 The Right-Angle Prism 104 4.10 The Roof Prism 107 4.11 Erecting Prism Systems 108 4.12 Inversion Prisms 111 4.13 The Penta Prism 113 4.14 Rhomboids and Beam Splitters 114 4.15 Plane Mirrors 116 4.16 The Design of Prism and Reflector Systems 117 4.17 Analysis of Fabrication Errors 122 Bibliography 122 Chapter 5. The Eye 125 5.1 Introduction 125 5.2 The Structure of the Eye 126 5.3 Characteristics of the Eye 128 5.4 Defects of the Eye 134 Bibliography 138 Exercises 139 Chapter 6. Stops and Apertures 141 6.1 Introduction 141 6.2 The Aperture Stop and Pupils 142 6.3 The Field Stop 143 6.4 Vignetting 143 6.5 Glare Stops, Cold Stops, and Baffles 147 Contents vii 6.6 The Telecentric Stop 150 6.7 Apertures and Image Illumination—f-Number and Cosine-Fourth 151 6.8 Depth of Focus 154 6.9 Diffraction Effects of Apertures 157 6.10 Resolution of Optical Systems 160 6.11 Diffraction of a Gaussian (Laser) Beam 163 6.12 The Fourier Transform Lens and Spatial Filtering 168 Bibliography 168 Exercises 169 Chapter 7. Optical Materials and Interference Coatings 173 7.1 Reflection, Absorption, Dispersion 173 7.2 Optical Glass 178 7.3 Special Glasses 183 7.4 Crystalline Materials 187 7.5 Plastic Optical Materials 188 7.6 Absorption Filters 192 7.7 Diffusing Materials and Projection Screens 195 7.8 Polarizing Materials 198 7.9 Dielectric Reflection and Interference Filters 200 7.10 Reflectors 209 7.11 Reticles 211 7.12 Cements and Liquids 213 Bibliography 214 Exercises 216 Chapter 8. Radiometry and Photometry 219 8.1 Introduction 219 8.2 The Inverse Square Law; Intensity 220 8.3 Radiance and Lambert’s Law 221 8.4 Radiation into a Hemisphere 222 8.5 Irradiance Produced by a Diffuse Source 223 8.6 The Radiometry of Images; The Conservation of Radiance 225 8.7 Spectral Radiometry 230 8.8 Black Body Radiation 231 8.9 Photometry 237 8.10 Illumination Devices 243 Bibliography 248 Exercises 249 Chapter 9. Basic Optical Devices 251 9.1 Telescopes, Afocal Systems 251 9.2 Field Lenses and Relay Stystems 255 9.3 Exit Pupils, The Eye and Resolution 257 9.4 The Simple Microscope or Magnifier 267 9.5 The Compound Microscope 269 9.6 Rangefinders 271 viii Contents 9.7 Radiometer and Detector Optics 274 9.8 Fiber Optics 281 9.9 Anamorphic Systems 287 9.10 Variable Power (Zoom) Systems 291 9.11 The Diffractive Surface 296 Bibliography 297 Exercises 298 Chapter 10. Optical Computation 301 10.1 Introduction 301 10.2 Paraxial Rays 302 10.3 Meridional Rays 304 10.4 General, or Skew, Rays: Spherical Surfaces 308 10.5 General, or Skew, Rays: Aspheric Surfaces 312 10.6 Coddington’s Equations 317 10.7 Aberration Determination 321 10.8 Third-Order Aberrations: Surface Contributions 328 10.9 Third-Order Aberrations: Thin Lenses; Stop Shift Equations 335 Bibliography 345 Exercises 345 Chapter 11. Image Evaluation 347 11.1 Introduction 347 11.2 Optical Path Difference: Focus Shift 348 11.3 Optical Path Difference: Spherical Aberration 349 11.4 Aberration Tolerances 355 11.5 Image Energy Distribution (Geometric) 360 11.6 Spread Functions—Point and Line 361 11.7 Geometric Spot Sizes Due to Spherical Aberration 362 11.8 The Modulation Transfer Function 366 11.9 Computation of the Modulation Transfer Function 372 11.10 Special Modulation Transfer Functions: Diffraction-Limited Systems 376 11.11 Radial Energy Distribution 383 11.12 Point Spread Functions for the Primary Aberrations 385 Bibliography 388 Exercises 391 Chapter 12. The Design of Optical Systems: General 393 12.1 Introduction 393 12.2 The Simple Meniscus Camera Lens 395 12.3 The Symmetrical Principle 401 12.4 Achromatic Telescope Objectives (Thin Lens Theory) 402 12.5 Achromatic Telescope Objectives (Design Forms) 404 12.6 The Diffractive Surface in Lens Design 413 12.7 The Cooke Triplet Anastigmat 418 12.8 AGeneralized (Nonautomatic, Old-Fashioned) Design Technique 424 Contents ix 12.9 Automatic Design by Electronic Computer 431 12.10 Practical Considerations 435 Bibliography 436 Exercises 438 Chapter 13. The Design of Optical Systems: Particular 439 13.1 Telescope Systems and Eyepieces 439 13.2 Microscope Objectives 447 13.3 Photographic Objectives 453 13.4 Condenser Systems 470 13.5 Reflecting Systems 474 13.6 The Rapid Estimation of Blur Sizes for Simple Optical Systems 491 Bibliography 499 Exercises 502 Chapter 14. Some Forty Four More Lens Designs 503 14.1 Introduction 503 14.2 The Designs 504 Bibliography 504 Chapter 15. Optics in Practice 549 15.1 Optical Manufacture 549 15.2 Optical Specifications and Tolerances 559 15.3 Optical Mounting Techniques 575 15.4 Optical Laboratory Practice 580 Bibliography 599 Index 603