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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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  • Calculations on lens systems are often marred by the unjustifiable use of the small-angle approximation. This book describes in detail how the ray and wave pictures of lens behaviour can be combined and developed into a theory capable of dealing with the large angles encountered in real optical systems. A distinct advantage of this approach is that Fourier optics appears naturally, in a form valid for arbitrarily large angles. The book begins with extensive reviews of geometrical optiks, eikonal functions and the theory of wave propagation. The propagation of waves through lenses is then treated by exploiting the close connection between eikonal function theory and the stationary phase approximation. Aberrations are then discussed, and the book concludes with various applications in lens design and analysis, including chapters on laser beam propagation and diffractive optical elements. Throughout, special emphasis is placed on the intrinsic limitations of lens performance. The many practical insights it contains, as well as the exercises with their solutions, will be of interest to graduate students as well as 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

    '[The book] is set forth in a clear, elegant, logical style that leads us from first principles to many profound conclusions.' Optics and Photonics News

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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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