Dyadic green´s function in a homogeneous biaxial anisotropic medium

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.