The Ray and Wave Theory of Lenses

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The analysis of practical imaging systems is often marred by the use of poor approximations, particularly the small-angle approximation. This book describes clearly how the ray and wave pictures of lens behaviour can be combined and developed to produce a theory capable of dealing with the large angles encountered in real optical systems.Introductory chapters describe the properties of eikonal functions. The wave theory of lenses is then developed, following a discussion of wave behaviour in homogeneous media. A detailed description of aberrations is then given, and the book concludes with applications of the theory in lens design and analysis. Containing many practical insights, as well as exercises and solutions, this book will be of great interest to graduate students taking courses in this field, and to anyone working in optical design and engineering.
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Editorial Reviews

From the Publisher
"...valuable and delightful...set forth in a clear, elegant, logical style that leads us from first principles to many profound conclusions...abounds in useful results and fundamental theorems...should be of most interest to lens designers and graduate students in a course in geometrical optics." David Shafer, Optics & Photonics News

" impressive book and an important addition to the literature of geometrical optics. I believe it should be of great interest to any serious student or practicioner of optical design and engineering." John S. Loomis, Optical Engineering

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Product Details

  • ISBN-13: 9780521028295
  • Publisher: Cambridge University Press
  • Publication date: 3/28/2006
  • Series: Cambridge Studies in Modern Optics Series, #15
  • Edition description: First Edition
  • Pages: 416
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.94 (d)

Table of Contents

Pt. 1 Preview 1
1 Some consequences of the wave equation 3
Pt. 2 Geometrical optics 11
2 Fermat's principle 13
3 Path differentials 20
4 The structure of image forming pencils 28
5 Eikonal transformations 40
6 Perfect images 51
7 Aberrations 59
8 Radiometry 69
Pt. 3 Paraxial optics 79
9 The small angle approximation 81
10 Paraxial calculations 87
11 Stops and pupils 105
12 Chromatic aberrations 115
Pt. 4 Waves in homogeneous media 125
13 Waves 127
14 Wave propagation I: exact results 135
15 Wave propagation II: approximations 148
16 The stationary phase approximation 154
Pt. 5 Wave propagation through lenses 167
17 Toward a wave theory of lenses 169
18 General propagation kernels 177
19 Paraxial wave propagation 188
20 The wave theory of image formation 196
21 Fourier optics 213
Pt. 6 Aberrations 225
22 Perfect systems 227
23 The vicinity of an arbitrary ray 238
24 Third order aberrations 253
25 The small field approximation 275
26 Ray tracing 283
27 Aberrations and the wave theory 295
Pt. 7 Applications 307
28 Gaussian beams 309
29 Concentric systems 320
30 Thin lenses 334
31 Mock ray tracing 345
32 Diffractive optical elements 364
Appendix 1: Fourier transforms 376
Appendix 2: Third order calculations 378
Appendix 3: Ray tracing 381
Appendix 4: Eikonals and the propagation kernels 383
Appendix 5: Paraxial eikonals 384
Appendix 6: Hints and problem solutions 385
Bibliography 392
Index 396
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