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Exact solutions for fields of electric type in spherically stratified isotropic media

Published online by Cambridge University Press:  24 October 2008

A. L. Sharaf
A. L. Sharaf
Affiliation:
University of Khartoum
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Abstract

A method is given for deriving refractive index profiles which yield wave functions expressed in terms of the standard transcendental functions for fields of electric type in spherically stratified isotropic media. Some new profiles, as well as all the previously known ones, are derived by applying the method.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 119 - 127
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Bremmer, H.Terrestrial radio waves (Elsevier Publ. Co., 1949).Google Scholar
(2)Westcott, B. S.Exact solutions for electromagnetic wave propagation in spherically stratified isotropic media. Proc. Cambridge Philos. Soc. 64 (1968), 227.Google Scholar
(3)Heading, J.Refractive index profiles based on the hypergeometric equation and the confluent hypergeometric equation. Proc. Cambridge Philos. Soc. 61 (1965), 897.CrossRefGoogle Scholar
(4)Gould, R. N. and Burman, R. J.Atmos. Terr. Phys. 26 (1963), 543.Google Scholar
(5)Tai, C. T.The electromagnetic theory of the spherical Luneberg lens. Appl. Sci. Res. Section B 7 (1956), 113–130.CrossRefGoogle Scholar
(6)Sharaf, A. L. The electromagnetic theory of the spherical Luneberg lens. M.Sc. Thesis, London Univ. (1962), Chapter VI.Google Scholar
(7)Nomura, Y. and Takatu, K. I.Sci. Rep. Res. Inst. Tôhoku Univ. Ser. A 7 (1966), 1127.Google Scholar