Book contents
- Frontmatter
- Contents
- Preface
- 1 Classical scattering
- 2 Scattering of scalar waves
- 3 Scattering of electromagnetic waves from spherical targets
- 4 First applications of the Mie solution
- 5 Short-wavelength scattering from transparent spheres
- 6 Scattering observables for large dielectric spheres
- 7 Scattering resonances
- 8 Extensions and further applications
- Mathematical appendices
- References
- Name index
- Subject index
Mathematical appendices
Published online by Cambridge University Press: 28 October 2009
- Frontmatter
- Contents
- Preface
- 1 Classical scattering
- 2 Scattering of scalar waves
- 3 Scattering of electromagnetic waves from spherical targets
- 4 First applications of the Mie solution
- 5 Short-wavelength scattering from transparent spheres
- 6 Scattering observables for large dielectric spheres
- 7 Scattering resonances
- 8 Extensions and further applications
- Mathematical appendices
- References
- Name index
- Subject index
Summary
Appendices A–D define and describe properties of the various special functions employed in the main text, although we have included for the most part only those properties directly relevant to present needs. Authoritative general references to the behavior of these functions include the Handbook of Mathematical Functions edited by Abramowitz and Stegun (1964), which we usually abbreviate as HMF; Gradshteyn and Ryzhik (1980), Table of Integrals, Series, and Products; Watson's Theory of Bessel Functions (1995); Whittaker and Watson, A Course of Modern Analysis (1963); the Bateman-manuscript project's Higher Transcendental Functions (Erdélyi et al. 1953); and Szegö's Orthogonal Polynomials (1959). The reader is referred to these sources for all proofs – none is given here, though occasionally some are suggested. Additional appendices provide reference to mathematical and numerical techniques of value in studying scattering processes.
- Type
- Chapter
- Information
- Scattering of Waves from Large Spheres , pp. 300Publisher: Cambridge University PressPrint publication year: 2000