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Exact solutions for vertically polarized electromagnetic waves in horizontally stratified isotropic media

Published online by Cambridge University Press:  24 October 2008

B. S. Westcott
B. S. Westcott
Affiliation:
University of Southampton
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Abstract

A systematic analysis is conducted for refractive index profiles capable of yielding exact solutions in terms of hypergeometric or confluent hypergeometric functions for the electromagnetic field of vertically polarized waves propagating in horizontally stratified isotropic media. Previously known profiles emerge as special cases of the analysis. Profiles suitable for use with isotropic lossless ionospheres and of prescribed form n2 = 1 − T(z)/k2, with T(z) independent of k, do not arise in this paper.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 3 , November 1969 , pp. 675 - 684
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Burman, R. and Gould, R. N.J. Atmos. Terr. Phys. 25 (1963), 543–545.CrossRefGoogle Scholar
(2)Burman, R. and Gould, R. N.J. Atmos. Terr. Phys. 26 (1964), 1127–1129.Google Scholar
(3)Försterling, K. and Wüster, H. O.J. Atmos. Terr. Phys. 2 (1951), 22–31.Google Scholar
(4)Galejs, J.I.R.E. Trans. on Antennas and Propagation AP-9 (1961), 554.Google Scholar
(5)Gould, R. N. and Burman, R.J. Atmos. Terr. Phys. 26 (1964), 335–340.CrossRefGoogle Scholar
(6)Gradshteyn, I. S. and Ryzhik, I. M.Table of integrals, series and products (Academic Press; New York, 1965).Google Scholar
(7)Harris, F. B. and Tanner, R. L.J. Res. Nat. Bur. Standards 66 D (1962), 463–478.Google Scholar
(8)Heading, J.Proc. Cambridge Philos. Soc. 61 (1965), 897–913.CrossRefGoogle Scholar
(9)Wait, J. R.Electromagnetic waves in stratified media (Pergamon Press; Oxford, 1962).Google Scholar