Related Experiment Video
Updated: Jul 10, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Dyadic Green's function of a cluster of spheres
Angela P Moneda1, Dimitrios P Chrissoulidis
1Aristotle University of Thessaloniki, Faculty of Engineering, Department of Electrical and Computer Engineering, PO Box 1562, GR-54124 Thessaloniki, Greece.
Abstract:
The electric dyadic Green's function (dGf) of a cluster of spheres is obtained by application of the superposition principle, dyadic algebra, and the indirect mode-matching method. The analysis results in a set of linear equations for the unknown, vector, wave amplitudes of the dGf; that set is solved by truncation and matrix inversion. The theory is exact in the sense that no simplifying assumptions are made in the analytical steps leading to the dGf, and it is general in the sense that any number, position, size and electrical properties can be considered for the spheres that cluster together. The point source can be anywhere, even within one of the spheres. Energy conservation, reciprocity, and other tests prove that this solution is correct. Numerical results are presented for an electric Hertz dipole radiating in the presence of an array of rexolite spheres, which manifests lensing and beam-forming capabilities.
Related Concept Videos
Green’s Theorem
Gauss's Law: Spherical Symmetry
Extended Versions of Green’s Theorem
Electric Field of a Non Uniformly Charged Sphere
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
Gauss's Law: Cylindrical Symmetry
Vector Forms of Green’s Theorem

