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Mathematical Methods for Optical Physics and Engineering


  • Date Published: January 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: January 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

  • Resources for

    Mathematical Methods for Optical Physics and Engineering

    Gregory J. Gbur

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  • Instructors have used or reviewed this title for the following courses

    • Advanced Calculus for Engineering and Physics
    • Advanced Glass
    • Advanced Mathematical Techniques I
    • College & University Physics
    • Enginnering Mathematics
    • Fourier Optics
    • Introduction to Mathematical Methods for Scientists
    • Mathematical Methods for Optics and Physics
    • Mathematical Methods in Optical Science & Engineering
    • Mathematical Methods in Physics
    • Nano-Optics
    • Optical radiation and matter
  • 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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