Electromagnetic waves interaction with a lamellar spherical lens

Authors

  • Leonid B. Lerman Institute of Surface Chemistry of the National Academy of Sciences of Ukraine, Ukraine
  • Leonid G. Grechko Institute of Surface Chemistry of the National Academy of Sciences of Ukraine, Ukraine
  • Victor V. Gozhenko Institute of Surface Chemistry of the National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2005.1496919

Keywords:

spherical heterogeneous lenses, scattering, absorption, extinction, Debay's potentials

Abstract

With the Debay's potentials, it is obtained an exact solution for the problem of the electromagnetic radiation interaction with a lamellar spherical lens consisted of an arbitrary number of layers with complex refraction indexes. The solution is constructed by using the translation matrixes, enabling to transfer corresponding boundary conditions between the layers. The elaborated method determines the lens' absorption, scattering, and extinction in terms of the layers' characteristics. This allows one to solve the problem of synthesis of heterogeneous spherical lens with required radio-technical characteristics.

References

MISHCHENKO, M.I.; HOVENIER, J.V.; TRAVIS, L.D. Light Scattering by Nonspherical Particles. Academic Press, 2002, 690 p.

ADEN, A.L.; KERKER, M. Scattering of electromagnetic waves from two concentric spheres. J. Appl. Phys., 1951, v.22, n.10, p.1242-1245, doi: http://dx.doi.org/10.1063/1.1699834.

LOPATIN, V.N.; SIDKO, F.Y. Introduction to Optics of Cells Dredge. Novosybirsk: Nauka, 1988, 240 p. [in Russian].

GRECHKO, L.G.; LERMAN, L.B.; SHKODA, N.G. Multi-layered ellipsoid in electric field. Bulletin of Kyiv University. Series: Physics & Mathematics, 2004, n.1, p.386-394.

GRECHKO, L.G.; LERMAN, L.B.; SHKODA, N.G. Scattering of electromagnetic waves on multilayered sphere. Bulletin of Kyiv University. Series: Physics & Mathematics, 2004, n.3, p.376-385.

GRECHKO, L.G.; LERMAN, L.B.; SHKODA N.G. An effective permittivity of matrixes disperse systems with multilayer inserting: a directly problem and inverse one. Bulletin of Kyiv University. Series: Physics & Mathematics, 2004, n.2, p.474-482.

Published

2005-06-05