The Reflection and Transmission of Electromagnetic Waves by a Moving Dielectric Slab. I. Solution in the Moving Frame

Abstract

The Darwin scattering method is used to calculate the amplitudes, frequencies and propagation directions of the free space electromagnetic waves reflected and transmitted by a plane-parallel, non-dissipative, isotropic, homogeneous, dielectric slab. The laws of reflection and refraction and the conservation of energy flux follow naturally. Explicit formulas are given for perpendicular polarization but the method is equally applicable to polarization parallel to the plane of incidence. The results of Part I for the reference frame of the moving slab are in a form to be transformed in Part II to the reference frame of a “fixed” observer.