Mathematical Methods for Optical Physics and Engineering

The first textbook on mathematical methods applied to optical science and engineering. Ideal for upper division undergraduates and graduates.

Gregory J. Gbur (Author)

9780521516105, Cambridge University Press

Hardback, published 6 January 2011

818 pages, 270 b/w illus. 445 exercises
25.4 x 18.2 x 4.1 cm, 1.72 kg

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.

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
Appendices
References
Index.

Subject Areas: Applied optics [TTB], Electronic devices & materials [TJFD], Nanotechnology [TBN], Optical physics [PHJ]