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The Ray and Wave Theory of Lenses

Part of Cambridge Studies in Modern Optics

  • Author: A. Walther, Worcester Polytechnic Institute, Massachusetts
  • Date Published: November 2006
  • availability: Available
  • format: Paperback
  • isbn: 9780521028295

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About the Authors
  • 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.

    • Provides an accurate description of the behaviour of real optical systems
    • Contains many problems and solutions
    • A valuable reference for professionals in optical design and engineering
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    Reviews & endorsements

    "...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

    • Date Published: November 2006
    • format: Paperback
    • isbn: 9780521028295
    • length: 416 pages
    • dimensions: 228 x 150 x 26 mm
    • weight: 0.617kg
    • contains: 77 b/w illus. 20 tables 58 exercises
    • availability: Available
  • 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.

  • Author

    A. Walther, Worcester Polytechnic Institute, Massachusetts

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