Confinement and Redistribution of Charges and Currents on a Surface by External Fields.
Abstract
The old problem of light scattering from a perfectly conducting surface is addressed. An electromagnetic field is incident upon the boundary, where it induces a charge and current distribution. These charges and currents emit the reflected fields. A set of equations for the charges and currents on the surface is derived by eliminating the E- and B-fields from Maxwell's equations with the aid of the appropriate boundary conditions. An explicit and general solution is achieved, which reveals the confinement and redistribution of the charge and the current on the surface by the external field. Expressions are obtained for the surface resolvents, or the redistribution matrices, which represent the surface geometry. Action of a surface resolvent on the incident field evaluated at the surface, then yields the change and current distributions. The Faraday induction appears as an additional contribution to the charge density. Subsequently, the reflected fields are expanded in spherical waves, which have the surface-multipole moments as a source. Explicit expressions are presented for the surface-multipole moments, and its is pointed out that charge conservation on the surface sets constraints on these moments. The results apply to arbitrarily-shaped surfaces and to any incident field. For a specific choice of the surface structure and the external field, the solutions for the charge, the current and the reflected fields are amenable to numerical evaluation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1987
- Accession Number
- ADA176545
Entities
People
- Daniel Jelski
- Henk F. Arnoldus
- Thomas F. George
Organizations
- University at Buffalo