Abstract
The scattering of a time-harmonic, plane electromagnetic wave by either a Maxwell fish-eye or a metal-like lens is considered. Numerical values of the monostatic cross sections are obtained by evaluating the exact, infinite series solutions of hypergeometric functions of the2 F 1 type. These results are compared with the high-frequency asymptotic estimates based on either geometrical optics or a modified Watson transformation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L.M.Brekhovskikh:Waves in Layered Media (Academic Press, New York 1960)
J.R.Wait:Electromagnetic Waves in Stratified Media (Macmillan, New York 1962)
B.D.Seckler, J.B.Keller: J. Acoust. Soc. Am.31, 192 (1959)
B.D.Seckler, J.B.Keller: J. Acoust. Soc. Am.31, 206 (1959)
F.W.Sluijter: J. Math. Anal. Appl.27, 282 (1969)
P.L.E.Uslenghi: IEEE Trans. Antennas Propagat.16, 140 (1968)
P.L.E.Uslenghi, V.H.Weston: Appl. Sci. Res.23, 147 (1970)
P.L.E.Uslenghi: IEEE Trans. Antennas Propagat.17, 235 (1969)
P.L.E.Uslenghi: Electromagnetic scattering from radially inhomogeneous media, Report No. 8658-1-T, Radiation Laboratory, University of Michigan, Ann Arbor, Mich. (1967)
R.W.Latham: Canad. J. Phys.46, 1463 (1968)
M.Kerker, E.Matijevic: J. Opt. Soc. Am.51, 506 (1961)
J.R.Wait: Appl. Sci. Res.B 10, 441 (1961)
H.M.Nussenzveig: J. Math. Phys.10, 82 and 125 (1969)
Author information
Authors and Affiliations
Additional information
This research was sponsored by the Air Force Office of Scientific Research, Air Force Systems Command, U.S. Air Force under grant AFOSR-72-2263.
Rights and permissions
About this article
Cite this article
Laxpati, S.R., Uslenghi, P.L.E. Numerical and asymptotic scattering from two inhomogeneous lenses. Appl. Phys. 2, 11–14 (1973). https://doi.org/10.1007/BF00900485
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00900485