High-Frequency Asymptotic Expansions for Certain Prolate Spheroidal Wave Functions
ABSTRACT Prolate Spheroidal Wave Functions (PSWFs) are a well-studied subject with applications in signal processing, wave propagation, antenna theory, etc. Originally introduced in the context of separation of variables for certain partial differential equations, PSWFs became an important tool for the analysis of band-limited functions after the famous series of articles by Slepian et al. The popularity of PSWFs seems likely to increase in the near future, as band-limited functions become a numerical (as well as an analytical) tool.
- 01/1966; Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Article: Spheroidal wave functions[show abstract] [hide abstract]
ABSTRACT: Spheroidal wave functions occur in many scientific and engineering contexts, from atomic nuclei to the cosmos-scattering by nonspherical nuclei, wave functions of diatomic molecules, analysis of band-limited random noise, orthogonal frequency division multiplexing, and anisotropy of the cosmic microwave background radiation. Therefore, visualizing these functions and computing them reliably can be useful and interestingComputing in Science and Engineering 06/1999; · 1.73 Impact Factor