The Ray and Wave Theory of Lenses

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Overview

This book describes techniques used to predict the quality of images formed by optical systems, such as telescopes, camera lenses, and microscope objectives. It covers in detail how the ray and wave pictures of lens behavior can be combined and developed to produce a theory capable of dealing with the large angles encountered in real optical systems. Several applications are considered, including the propagation of a Gaussian beam along a skew ray, a clear and convincing demonstration that diffractive optical elements are subject to the same fundamental limitation as conventional lenses, a thorough discussion of the "cosine-to-the-fourth law," and a detailed example of mock ray tracing. 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

"...an 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

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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