Author(s)

Bing Zhou^1*, Graham Heinson², Aixa Rivera-Rios²

¹Petroleum Geosciences, The Petroleum Institute, Abu Dhabi, UAE.
²Geology and Geophysics, The University of Adelaide, Adelaide, Australia.

This paper derives two new integrated and explicit boundary conditions, named the “explicit normal 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.

Electromagnetic Theory, Electromagnetism, Boubdary Condition, Electric Anisotropy

Zhou, B. , Heinson, G. and Rivera-Rios, A. (2015) Integrated and Explicit Boundary Conditions of Electromagnetic Fields at Arbitrary Interfaces between Two Anisotropic Media. Journal of Electromagnetic Analysis and Applications, 7, 75-88. doi: 10.4236/jemaa.2015.73009.