Scalar potential depolarizing dyad artifact for a uniaxial bianisotropic medium

A scalar potential formulation for a homogeneous uniaxial bianisotropic medium is derived through the use of Helmholtz´s theorem and operator orthogonality and compared with prior findings. It is shown that an expected and unexpected depolarizing dyad appears in the development. Using a spectral domain analysis and Leibnitz´s rule in the field recovery process, it is shown the unexpected depolarizing dyad is canceled. Thus, a mathematically and physically consistent scalar potential theory is confirmed.