Theory of Electromagnetic Waves: A Coordinate-free Approach

a₁ according to Eq amplitude vectors anisotropic B₁ C₁ coefficients components constant phase constitutive relations crystal d³r determinant dielectric tensor direction of wave dispersion equation dot product dyadic Green function E₁ eigenvalues eigenvector electric and magnetic energy density field vectors Green function group velocity Hence incident wave integral interface isotropic medium k₁ linear linearly polarized lossless magnetic field matrix Maxwell equations moving medium obtain optic axis parallel perpendicular phase velocity plane of incidence plane wave planes of constant plasma polarized wave Poynting vector Prob radiation ray vector reflected wave refraction respectively scalar sin² solution Substituting Eq symmetric matrix transformation transmitted waves uniaxial medium uniform plane wave wave normal wave propagation wave vector wave vector surface μο ωμο