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Dipolar response of an ellipsoidal particle with an anisotropic coating

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Title Dipolar response of an ellipsoidal particle with an anisotropic coating
 
Creator AMBJORNSSON, T
MUKHOPADHYAY, G
 
Subject ordinary differential-equations
regular singular points
connection problem
fullerenes
 
Description In this paper we study the response of an ellipsoidal particle with a dielectrically anisotropic coating (the coating dielectric function being different parallel and perpendicular to the coating normal) placed in a constant external electric field. For the coating region we find that potential can be written in terms of solutions to a one-dimensional Heun's equation which is derived from the three-dimensional Gauss equation for the potential in ellipsoidal coordinates. We give solutions to Heun's equation in three forms: for the general case we obtain solutions in terms of a series expansion. For the case of spheroidal particles we write the solutions using hypergeometric functions. For large coating anisotropy we derive a simple form of the solution for the potential. The inside of the ellipsoid and the surroundings are assumed dielectrically isotropic and the potential is therefore given by standard results. By matching the solutions across the boundaries we obtain the ellipsoidal particle polarizability, which is written in terms of the standard depolarization factors and logarithmic derivatives of the Heun's equation solutions. The results above also allow us to obtain the magnetic polarizability of a coated ellipsoid in a constant external magnetic field.
 
Publisher IOP PUBLISHING LTD
 
Date 2011-08-03T15:25:27Z
2011-12-26T12:54:16Z
2011-12-27T05:41:56Z
2011-08-03T15:25:27Z
2011-12-26T12:54:16Z
2011-12-27T05:41:56Z
2003
 
Type Article
 
Identifier JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 36(42), 10651-10665
0305-4470
http://dx.doi.org/10.1088/0305-4470/36/42/016
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9076
http://hdl.handle.net/10054/9076
 
Language en