The Ray and Wave Theory of Lensesby A. Walther, Walther A
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 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.
Table of Contents
Preface; Part I. Preview: 1. Some consequences of the wave equation; Part II. Geometrical Optics: 2. Fermat's principle; 3. Path differentials; 4. The structure of image forming pencils; 5. Eikonal transformations; 6. Perfect images; 7. Aberrations; 8. Radiometry; Part III. Paraxial Optics: 9. The small angle approximation; 10. Paraxial calculations; 11. Stops and pupils; 12. Chromatic aberrations; Part IV. Waves in Homogeneous Media: 13. Waves; 14. Wave propagation I: exact results; 15. Wave propagation II: approximations; 16. The stationary phase approximation; Part V. Wave Propagation Through Lenses: 17. Toward a wave theory of lenses; 18. General propagation kernels; 19. Paraxial wave propagation; 20. The wave theory of image formation; 21. Fourier optics; Part VI. Aberrations: 22. Perfect systems; 23. The vicinity of an arbitrary ray; 24. Third order aberrations; 25. The small field approximation; 26. Ray tracing; 27. Aberrations and the wave theory; Part VII. Applications: 28. Gaussian beams; 29. Concentric systems; 30. Thin lenses; 31. Mock ray tracing; 32. Diffractive optical elements; Appendices; Bibliography; Index.
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