“Dyadic Green’s Function in a Homogeneous Biaxial Anisotropic Medium,” 2009 IEEE AP-S International Symposium and USNC/URSI National Radio Science Meeting, Charleston, South Carolina, June 2009.
This paper presents an analytical formulation of the dyadic Green’s function in a homogeneous biaxial anisotropic medium. The spectral dyadic Green’s function is first obtained by solving the spectrum-domain Maxwell’s equations with a delta-type source excitation in a biaxial anisotropic medium. Then the space-domain dyadic Green’s function is expressed as a triple inverse Fourier transform of the spectrum-domain Green’s function. Efficient numerical techniques are used to evaluate the inverse Fourier transforms of the highly oscillating integrands accurately. The derived Green’s function can be used in the integral equation solution for electromagnetic problems involving biaxial anisotropic medium background or simulation of triaxial induction tool responses in a biaxial anisotropic formation.