Heaviside’s Bunch Propagating Through the Interface of Two Dielectrics: Fresnel’s Equations

Abstract

The paper shows deriving the Fresnel's equations using the electromagnetic wave as a Heaviside's bunch. This is a plane electromagnetic wave in form of a thin layer inside of which electric and magnetic fields are non-zero and there is no field outside of it. The wave itself moves perpendicularly to the layer, and what is more, magnetic and electric field intensity and spread velocity form the right vector triple. The paper also conducts the analysis of Fresnel's equations. The reflection coefficients for s- and p-waves are examined for reflection from the optically denser medium and optically less dense one. Bruster's angle at which the p-wave does not reflect and fully passes into the second medium is obtained. We have shown the wave phase shift as a result of reflection from the interface of media. The paper shows that for the p-wave, in reflection from the denser medium the phase is changed to the opposite only when the angles are more than the Bruster's angle. And in reflection from the less dense medium the phase is unchanged when the angles are more than the Bruster's angle and is changed to the opposite only at angles less than the Bruster's angle. The complete internal reflection angle for the less dense medium is considered separately. We have obtained the effective depth of penetration into the less dense medium as well as the possibility to turn the plane-polarized wave into the Fresnel's rhombus.