TITLE:
Integrated and Explicit Boundary Conditions of Electromagnetic Fields at Arbitrary Interfaces between Two Anisotropic Media
AUTHORS:
Bing Zhou, Graham Heinson, Aixa Rivera-Rios
KEYWORDS:
Electromagnetic Theory, Electromagnetism, Boubdary Condition, Electric Anisotropy
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.7 No.3,
March
19,
2015
ABSTRACT: This paper
derives two new integrated and explicit boundary conditions, named the “explicitnormal
version” and “explicit tangential versions” respectively for electromagnetic
fields at an arbitrary interface between two anisotropic media. The new
versions combine two implicit boundary equations into a single explicit matrix
formula and reveal the boundary values linked by a 3 × 3 matrix, which depends
on the interface topography and model property tensors. We analytically
demonstrate the new versions equivalent to the common implicit boundary
conditions and their application to transformation of the boundary values in
the boundary integral equations. We also give two synthetic examples that show
recovery of the boundary values on a hill and a ridge, and highlight the
advantage of the new versions of being a simpler and more straightforward
method to compute the electromagnetic boundary values.