Ma. Karam, MOLECULAR OPTICS APPROACH TO ELECTROMAGNETIC-WAVE INTERACTIONS WITH STRATIFIED MEDIA, Journal of the Optical Society of America. A, Optics, image science,and vision., 13(11), 1996, pp. 2208-2218
The problem of electromagnetic wave interaction with a stratified diel
ectric medium is solved in the framework of molecular optics, leading
to a new derivation for the refraction and reflection laws at stratifi
ed media interfaces. In addition, the solution confirms the Lorentz-Lo
renz refractive index formula characterizing the transverse propagatio
n modes and the characteristic frequencies associated with the longitu
dinal mode. The analytic results presented in this study support the e
xistence of another longitudinal mode propagating with the vacuum wave
number within the medium, and they provide a new concept for the Ewal
d-Oseen extinction theorem. Other new results of this study are that (
1) the relation between Fresnel horizontal and vertical reflection coe
fficients and the relation between the corresponding transmission coef
ficients are revealed and (2) a new concept is presented for the Brews
ter angle, and (3) the concept is introduced of multiple reflections i
n formulating the reflection coefficient at the interface between two
different dielectric materials. (C) 1996 Optical Society of America.