An exact, analytical solution to the problem of point-source radiation in the presence of a sphere with an eccentric spherical inclusion has been obtained by combined use of the dyadic Green’s function formalism and the indirect mode-matching technique. The end result of the analysis is a set of linear equations for the vector wave amplitudes of the electric Green’s dyad. The point source can be anywhere, even within the aforesaid nonspherical body, and there is no restriction with regard to the electrical properties in any part of space. Several checks confirm that this solution obeys the energy conservation and reciprocity principles. Numerical results are presented for an electric Hertz dipole radiating from within an acrylic sphere, which contains an eccentric spherical cavity.
© 2007 Optical Society of America
Original Manuscript: October 12, 2006
Revised Manuscript: December 19, 2006
Manuscript Accepted: December 20, 2006
Published: May 9, 2007
Angela P. Moneda and Dimitrios P. Chrissoulidis, "Dyadic Green's function of a sphere with an eccentric spherical inclusion," J. Opt. Soc. Am. A 24, 1695-1703 (2007)