Mathematical Methods for Optical Physics and Engineering
eBook - PDF

Mathematical Methods for Optical Physics and Engineering

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Mathematical Methods for Optical Physics and Engineering

About this book

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.

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Yes, you can access Mathematical Methods for Optical Physics and Engineering by Gregory J. Gbur in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Optics & Light. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. 1 Vector algebra
  9. 2 Vector calculus
  10. 3 Vector calculus in curvilinear coordinate systems
  11. 4 Matrices and linear algebra
  12. 5 Advanced matrix techniques and tensors
  13. 6 Distributions
  14. 7 Infinite series
  15. 8 Fourier series
  16. 9 Complex analysis
  17. 10 Advanced complex analysis
  18. 11 Fourier transforms
  19. 12 Other integral transforms
  20. 13 Discrete transforms
  21. 14 Ordinary differential equations
  22. 15 Partial differential equations
  23. 16 Bessel functions
  24. 17 Legendre functions and spherical harmonics
  25. 18 Orthogonal functions
  26. 19 Green's functions
  27. 20 The calculus of variations
  28. 21 Asymptotic techniques
  29. Appendix A: The gamma function
  30. Appendix B: Hypergeometric functions
  31. References
  32. Index