The Ray and Wave Theory of Lenses

The Ray and Wave Theory of Lenses

by A. Walther, Walther A
     
 

ISBN-10: 0521028299

ISBN-13: 9780521028295

Pub. Date: 03/28/2006

Publisher: Cambridge University Press

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…  See more details below

Overview

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.

Product Details

ISBN-13:
9780521028295
Publisher:
Cambridge University Press
Publication date:
03/28/2006
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

Preface
Pt. 1Preview1
1Some consequences of the wave equation3
Pt. 2Geometrical optics11
2Fermat's principle13
3Path differentials20
4The structure of image forming pencils28
5Eikonal transformations40
6Perfect images51
7Aberrations59
8Radiometry69
Pt. 3Paraxial optics79
9The small angle approximation81
10Paraxial calculations87
11Stops and pupils105
12Chromatic aberrations115
Pt. 4Waves in homogeneous media125
13Waves127
14Wave propagation I: exact results135
15Wave propagation II: approximations148
16The stationary phase approximation154
Pt. 5Wave propagation through lenses167
17Toward a wave theory of lenses169
18General propagation kernels177
19Paraxial wave propagation188
20The wave theory of image formation196
21Fourier optics213
Pt. 6Aberrations225
22Perfect systems227
23The vicinity of an arbitrary ray238
24Third order aberrations253
25The small field approximation275
26Ray tracing283
27Aberrations and the wave theory295
Pt. 7Applications307
28Gaussian beams309
29Concentric systems320
30Thin lenses334
31Mock ray tracing345
32Diffractive optical elements364
Appendix 1: Fourier transforms376
Appendix 2: Third order calculations378
Appendix 3: Ray tracing381
Appendix 4: Eikonals and the propagation kernels383
Appendix 5: Paraxial eikonals384
Appendix 6: Hints and problem solutions385
Bibliography392
Index396

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