Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1542294 | Optics Communications | 2006 | 8 Pages |
Abstract
In a continuous medium, the charge density and the current density are related by the continuity equation, expressing conservation of charge. When an interface separates two continuous media, we can also have a surface charge density σ and a surface current density i on the interface surface. We consider an interface of arbitrary shape, and derive the continuity equation relating σ and i from the principle of conservation of charge. The result can be expressed in terms of the surface divergence of i on the surface, familiar from tensor analysis. In an independent approach, we derive the same equation from Maxwell’s equations at the boundary.
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
Henk F. Arnoldus,