Material Tensor Rotor Transformation for Geometric Algebra

Geometric algebra possesses many advantages and mathematical simplifications in electromagnetics. One of these advantages is the simple way that reflections and rotations can be depicted. Using geometric algebra, this paper derives a method of converting material tensors into rotors, expanding geometric algebra's usefulness in electromagnetics. The Rotors are derived by viewing the interaction between electromagnetic waves and a medium's polarization or magnetization as a description of an axial rotation on the incident field, giving a direct relationship to the materials scattering effects.