TM Waves at Two Stratified Interfaces

Abstract

Two interfaces, separated by a distance d, embrace a film with dielectric function ɛ_f between two half-infinite media (ambient: ɛ_a}, and substrate:ɛ_b). A similar search for TM modes as show in Appendix E for a single interface, directs to the dispersion relation for SP modes, which may now be bound to either side of the film. The line of derivation given here can easily be used for dissection of SP resonance conditions in heterostructures with more than two interfaces starting over again with the interlaced Fresnel formulas for the p-polarization of stratified media [1]. To begin with here, it is helpful to recognize that (E.12) is identical with the denominator of the p-polarized Fresnel reflection coefficient (Sect. 2.5). With n_i=√ɛ_i and Snell’s law