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Mathematical Methods for Optical Physics and Engineering


  • Date Published: February 2011
  • availability: In stock
  • format: Hardback
  • isbn: 9780521516105


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About the Authors
  • The first textbook on mathematical methods focusing on techniques for optical science and engineering, this text is ideal for upper division undergraduate and graduate students in optical physics. Containing detailed sections on the basic theory, the textbook places strong emphasis on connecting the abstract mathematical concepts to the optical systems to which they are applied. It covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation. Most chapters end by showing how the techniques covered can be used to solve an optical problem. Essay problems based on research publications and numerous exercises help to further strengthen the connection between the theory and its applications.

    • The first mathematical methods textbook devoted to optical physics, containing detailed optics-related applications of the concepts
    • Covers many topics which usually only appear in more specialized books, such as Zernike polynomials, wavelet and fractional Fourier transforms, vector spherical harmonics, the z-transform, and the angular spectrum representation
    • Chapters end with exercises and essay problems based on research publications
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    Product details

    • Date Published: February 2011
    • format: Hardback
    • isbn: 9780521516105
    • length: 818 pages
    • dimensions: 254 x 182 x 41 mm
    • weight: 1.72kg
    • contains: 270 b/w illus. 445 exercises
    • availability: In stock
  • Table of Contents

    1. Vector algebra
    2. Vector calculus
    3. Vector calculus in curvilinear coordinate systems
    4. Matrices and linear algebra
    5. Advanced matrix techniques and tensors
    6. Distributions
    7. Infinite series
    8. Fourier series
    9. Complex analysis
    10. Advanced complex analysis
    11. Fourier transforms
    12. Other integral transforms
    13. Discrete transforms
    14. Ordinary differential equations
    15. Partial differential equations
    16. Bessel functions
    17. Legendre functions and spherical harmonics
    18. Orthogonal functions
    19. Green's functions
    20. The calculus of variations
    21. Asymptotic techniques

  • instructor resources

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    Instructor ResourcesSolutionsSolutions for chapters 1-11pdf813KB0solutions instructor resources solutions instructor resourcessolutions

    This title has a locked file and access is given only to instructors adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you need first to log in with your Cambridge account details and then return to this page to submit details of your course so that you can be authenticated as an instructor. Click here to log in. If you do not have a Cambridge account you will need first to click here to create an account and then return to this page to be authenticated.

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email

  • Author

    Gregory J. Gbur, University of North Carolina, Charlotte
    Greg Gbur is an Assistant Professor of Physics and Optical Science at the University of North Carolina at Charlotte, where he has taught a graduate course on mathematical methods for optics for the past five years and a course on advanced physical optics for two.

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