Optical Shop Testing. Second Edition. Edited by DANIEL MALACARA. John Wiley & Sons, Inc. A Wiley-Interscience Publication

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1 Optical Shop Testing Second Edition Edited by DANIEL MALACARA A Wiley-Interscience Publication John Wiley & Sons, Inc. New York I Chichester I Brisbane I Toronto I Singapore

2 Contents Preface to the Second Edition xv Preface to the First Edition xvii Chapter 1. Newton, Fizeau, and Haidinger Interferometers 1 M. V. Mantravadi 1.1. Newton Interferometer, Fizeau Interferometer, Haidinger Interferometer, Absolute Testing of Fiats, 43 Chapter 2. Twyman-Green Interferometer 51 D. Malacara 2.1. Introduction, Beam Splitter Plate, Coherence Requirements, Uses of a Twyman-Green Interferometer, Unequal-Path Interferometer, Variations from the Twyman-Green Configuration, Typical Interferograms and Their Analysis, Imaging of the Interference Pattern, 86 Chapter 3. Common-Path Interferometers 95 S. Mallick 3.1. Introduction, Burch's Interferometer Employing Two Matched Scatter Plates, Birefringent Beam Splitters, Lateral Shearing Interferometers, Double-Focus Interferometer, Saunders' s Prism Interferometer, Point Diffraction Interferometer, 112

3 X CONTENTS 3.8. Zernike Tests with Common-Path Interferometers, Measurement of the Optical Transfer Function, 113 Chapter 4. Lateral Shearing Interferometers 123 M. V. Mantravadi 4.1. Introduction, Considerations Regarding Coherence Properties of the Light Source, Brief Theory of Lateral Shearing Interferometry, Evaluation of an Unknown Wavefront, Lateral Shearing Interferometers in Collimated Light (White Light Compensated), Lateral Shearing Interferometers in Convergent Light (White Light Compensated), Lateral Shearing Interferometers Using Lasers, Other Types of Lateral Shearing Interferometers, 159 Chapter 5. Radial, Rotational, and Reversal Shear Interferometers 173 D. Malacara 5.1. Introduction, Radial Shear Interferometers, Rotational Shear Interferometers, Reversal Shear Interferometers, 198 Chapter 6. Multiple-Beam Interferometers 207 C. Roychoudhuri 6.1. Brief Historical Introduction, Precision in Multiple-Beam Interferometry, Multiple-Beam Fizeau Interferometer, Fringes of Equal Chromatic Order, Reduction of Fringe Interval in Multiple-Beam Interferometry, Plane Parallel Fabry-Perot Interferometer, Tolansky Fringes with Fabry-Perot Interferometer, Multiple-Beam Interferometer for Curved Surfaces, Coupled and Series Interferometers, Holographie Multiple-Beam Interferometers, Final Comments, 237

4 CONTENTS xi Chapter 7. Multiple-Pass Interferometers 247 P. Hariharan 7.1. Double-Pass Interferometers, Multipass Interferometry, 255 Chapter 8. Foucault, Wire, and Phase Modulation Tests 265 J. Ojeda-Castaüeda 8.1. Introduction, Foucault or Knife-Edge Test, Wire Test, Platzeck-Gaviola Test, Phase Modulation Tests, Ritchey-Common Test, 309 Chapter 9. Ronchi Test 321 A. Cornejo-Rodriguez 9.1. Introduction, Geometrical Theory, Wavefront Shape Determination, Physical Theory, Practical Aspects of the Ronchi Test, Some Related Tests, 353 Chapter 10. Hartmann and Other Screen Tests 367 /. Ghozeil Introduction, Theory, Types of Screens, Hartmann Test Implementation, Data Reduction, The Michelson and Gardner-Bennett Tests, Hartmann Tests of the Future, Summary, 392 Chapter 11. Star Tests 397 W. T. Welford Principles of the Star Test for Small Aberrations, Practical Aspects with Small Aberrations, The Star Test with Large Aberrations, 420

5 Xll CONTENTS Chapter 12. Null Tests Using Compensators 427 A. Offner and D. Malacara Introduction and Historical Background, The Dali Compensator, The Shafer Compensator, The Offner Compensator, Other Null Tests for Concave Conicoids, Compensators for Convex Conicoids, Hindle-Type Tests, 450 Chapter 13. Interferogram Evaluation and Wavefront Fitting 455 D. Malacara and S. L. DeVore Introduction, Polynomial Wavefront Representation, Wavefront Fitting and Data Analysis, Fringe Digitization, ^ Fourier Analysis of Interferograms, Direct Measuring Interferometry, 494 Chapter 14. Phase Shifting Interferometers 501 J. E. Greivenkamp and J. H. Bruning Introduction, Fundamentals Concepts, Advantages of PSI, Methods of Phase Shifting, Detecting the Wavefront Phase, Phase Unwrapping: Introduction, Integrating Bücket Data Collection, PSI Algorithms, Phase Shift Callibration, Error Sources, Detectors and Spatial Sampling, Phase Unwrapping, Aspheres and Extended Range PSI Techniques, Other Analysis Methods, Computer Processing and Output, Implementation and Applications, Future Trends for PSI, 588

6 CONTENTS xiü Chapter 15. Holographie and Speckle Tests 599 K. Creath and J. C. Wyant Introduction, Interferometers Using Real Holograms, Interferometers Using Synthetic Holograms, Two-Wavelength and Multiple-Wavelength Techniques, Holographie Interferometry for Nondestructive Testing, Speckle Interferometry and TV Holography, 627 Chapter 16. Moire and Fringe Projection Techniques 653 K. Creath and J. C. Wyant Introduction, What is MomS?, Moire and Interferograms, Historical Review, Fringe Projection, Shadow Moire, Projected Moire, Two-Angle Holography, Common Features, Comparison to Conventional Interferometry, Applications, Summary, 681 Chapter 17. Contact and Noncontact Profilers 687 K. Creath and A. Morales Introduction, Stilus Profilers, Scanning Probe Microscopes, 691 """ Optical Focus Sensors, Interferometric Optical Profilers, 697 Chapter 18. Angle, Distance, Curvature, and Focal Length 715 Z. Malacara Introduction, Angle Measurements, Distance Measurements, 725

7 XIV CONTENTS Radius of Curvature Measurements, Focal Length Measurements, 735 Appendix 1. An Optical Surface and Its Characteristics 743 Appendix 2. Some Useful Null Testing Configurations 755 Additional Bibliography 763 Index 765

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