Electrostatic image theory for layered dielectric sphere
Abstract
A recently developed static image theory for a homogeneous dielectric sphere is generalized to the problem of a multilayer dielectric sphere in terms of a lineimage charge. In this theory, the static reflection coefficients of the layered sphere, corresponding to different static modes of different spatial distributions, determine the imageline source in an integral transformation that can be labeled as a finite range Mellin transformation. The result can be applied in a quasistatic analysis of interactions of layered dielectric spherical particles in an artificial dielectric media. Numerical results are obtained for the radiowave propagation problem of attenuation due to melting hail particles assumed to be made of a spherical ice core with a spherical water shell.
 Publication:

IEE Proceedings H: Microwaves Antennas and Propagation
 Pub Date:
 April 1992
 Bibcode:
 1992IPMAP.139..186L
 Keywords:

 Dielectrics;
 Image Processing;
 Radio Waves;
 Spheres;
 Wave Propagation;
 Ice Nuclei;
 Laplace Equation;
 Mellin Transforms