Book contents
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- Preface to the third edition
- 1 Physics and Fourier transforms
- 2 Useful properties and theorems
- 3 Applications 1: Fraunhofer diffraction
- 4 Applications 2: signal analysis and communication theory
- 5 Applications 3: interference spectroscopy and spectral line shapes
- 6 Two-dimensional Fourier transforms
- 7 Multi-dimensional Fourier transforms
- 8 The formal complex Fourier transform
- 9 Discrete and digital Fourier transforms
- Appendix
- Bibliography
- Index
Preface to the third edition
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface to the first edition
- Preface to the second edition
- Preface to the third edition
- 1 Physics and Fourier transforms
- 2 Useful properties and theorems
- 3 Applications 1: Fraunhofer diffraction
- 4 Applications 2: signal analysis and communication theory
- 5 Applications 3: interference spectroscopy and spectral line shapes
- 6 Two-dimensional Fourier transforms
- 7 Multi-dimensional Fourier transforms
- 8 The formal complex Fourier transform
- 9 Discrete and digital Fourier transforms
- Appendix
- Bibliography
- Index
Summary
Fourier transforms are eternal. They have not changed their nature since the last edition ten years ago: but the intervening time has allowed the author to correct errors in the text and to expand it slightly to cover some other interesting applications. The van Cittert–Zernike theorem makes a belated appearance, for example, and there are hints of some aspects of radio aerial design as interesting applications.
I also take the opportunity to thank many people who have offered criticism, often anonymously and therefore frankly, which has (usually) been acted upon and which, I hope, has improved the appeal both of the writing and of the contents.
- Type
- Chapter
- Information
- A Student's Guide to Fourier TransformsWith Applications in Physics and Engineering, pp. xiii - xivPublisher: Cambridge University PressPrint publication year: 2011