Electromagnetic Fields of Dipole Sources in Multilayered Arbitrary Anisotropic Formation

Abstract

The electromagnetic fields radiated by electric and magnetic dipole sources in multilayered formation with full-tensor dielectric and conductivity anisotropy are formulated in this paper. By reformulating the Maxwell’s equations in the spectral domain and solving the electric and magnetic fields in the spatial domain using the Fourier transform, the electromagnetic responses from dipole sources can be acquired. The total field in multilayered formation consists of two parts: direct wave field and reflected wave fields from bottom and top layers. Generalized reflection and transmission matrices are derived to express the wave fields in arbitrary layers. The numerical results show good agreement with the finite element results.