Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-15T01:26:31.885Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact potential functions in spherically stratified media

Published online by Cambridge University Press:  24 October 2008

B. S. Westcott
B. S. Westcott
Affiliation:
University of Southampton
Get access Rights & Permissions [Opens in a new window]

Abstract

A systematic analysis is made of the equation ∇. [k(r) ∇ψ] = 0 for useful profiles k(r) in spherically stratified media which enable the radial variation of the potential function ψ to be expressed exactly in terms of hypergeometric functions or confluent hypergeometric functions. Previously known profiles are shown to emerge as special cases of the present analysis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1089 - 1098
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Heading, J.Proc. Cambridge Philos. Soc. 61 (1965), 897–913.CrossRefGoogle Scholar
(2)Tai, C. T.I.R.E. Trans. Antennas Propagation PGAP-1 (1952), 13–36.Google Scholar
(3)Tai, C. T.J. Res. Nat. Bur. Standards Sect. B. 67 D, no. 2 (1963), 199–202.Google Scholar
(4)Westcott, B. S.Proc. Cambridge Philos. Soc. 64 (1968), 227–235.CrossRefGoogle Scholar
(5)Whittaker, E. T. and Watson, G. N.Modern analysis (Cambridge University Press (1950), p. 346).Google Scholar