Transmittance and reflectance formulations: a typical isomorphism between the rectangular potential-barrier in quantum mechanics and the dielectric slab in electromagnetic-optics

The main intent of this paper is to demonstrate that the theoretical formulations of the reflectance and transmittance characteristics of an initially free quantum particle, heading towards some restricted region of space, inside which it undergoes the effect of an electric-potential-barrier, are isomorphic to those of an incident plane- and linearly-polarized electromagnetic wave, which propagates towards and through a homogeneous dielectric slab. (paper)