Abstract
In the analysis of electromagnetic scattering by distributions of small dielectric particles an approximation to the scattered field can be obtained by representing the electrical interaction of the particles in terms of the dipole moments of the individual particles. The calculation of the moments necessitates the solution of certain static scattering problems, and this becomes numerically difficult when the particles are thin. An integral equation formulation of the static scattering problem specialized to the case of thin planar dielectric plates is presented, along with an efficient numerical routine. Dipole moments are obtained over a range of permittivities for plates with several thicknesses and a variety of cross-sectional shapes, and the shape dependence is discussed.
Similar content being viewed by others
References
A.C. Holland, G. Gagne: Appl. Opt.9, 1113–1121 (1970)
T.B.A. Senior, H. Weil: Appl. Phys. B.29, 117–124 (1982)
D.S. Jones:Methods in Electromagnetic Wave Propagation (Clarendon, Oxford 1979)
T.B.A. Senior: Radio Sci.11, 477–482 (1976)
J.B. Keller, R.E. Kleinman, T.B.A. Senior: J. Inst. Maths. Applics9, 14–22 (1972)
D.S. Jones: Q. J. Mech. Appl. Math.33, 105–122 (1980)
T.B.A. Senior, T.M. Willis III: IEEE Trans. AP30, 1271 (1982)
D.F. Herrick, T.B.A. Senior: Appl. Phys.13, 175–183 (1977)
D.A. Ksienski: Scattering by Distributions of Small Thin Particles, Ph.D. Dissertation (The University of Michigan, Ann Arbor, MI 1984)
R.F. Harrington, J.R. Mautz: IEEE Trans. AP23, 531–534 (1975)
O.C. Zienkowicz:The Finite Element Method (McGraw-Hill, London 1982)
I.E. Gradshteyn, I.M. Ryzhik:Table of Integrals, Series, and Products (Academic, New York 1980)
D.R. Wilton, S.M. Rao, A.W. Glisson, D.H. Schaubert, O.M. Al-Bundak, C.M. Butler: IEEE Trans. AP32, 276–281 (1984)