Method of Moments Analysis of Artificial Media Composed of Dielectric Wire Objects
Abstract
The problem considered is an integral equation and periodic method of moments (PMM) solution determining the effective permittivity and permeability of an artificial medium. The artificial medium is composed of a 3D periodic array of identical arbitrarily-shaped thin conductive or dielectric wire objects arranged in a homogeneous host medium. In general, the artificial medium is anisotropic, in which case the effective permittivity and permeability tensors are determined. The method is based upon finding the complex wavenumber and the eigenfunction currents and fields, for a plane wave propagating in the artificial medium. Three methods are presented for determining the complex effective constitutive parameters of the artificial medium, all using various results of the PMM solution. The PMM solution solves for the currents induced in or on the wire objects. Mutual coupling between the wire objects is included in the PMM formulation. This mutual coupling affects the eigenfunction currents in the wire objects, the average eigenfunction fields in the artificial medium, and hence the effective permittivity and permeability tensors for the artificial medium. All fields are expressed as spectral summations of propagating and evanescent plane waves. Sample results are included to illustrate the method of the PMM solution, and to present some interesting points and characteristics of the periodic artificial media treatable by the solution. It is shown that for a given direction of propagation through the artificial medium, there are in general two distinct modes of plane wave propagation. These plane wave modes of propagation, as well as the eigenfunction currents in the wire objects, can change with the direction of propagation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1994
- Accession Number
- ADA283318
Entities
People
- E. H. Newman
- M. E. Peters
Organizations
- Ohio State University