Matching Impedances Fresnel Equations Calculation for Layered Optical Structures

摘要

In this paper, we demonstrate that Fresnel equations simulation for multilayer optical structures can be speeded up using impedance matching together with run once use many times concept as an optical responses database. The Fresnel equations can be solved by calculating reflection coefficient and transmission coefficient for each interface of the simulated structure and propagate the reflected waves and transmitted waves through the incident medium or the exiting medium using either scattering matrix approach or transfer matrix approach. If the structure parameter changes, such as, thickness of a layer in the structure change or the sequence of the layer changes, these require another set of Fresnel equations calculation. Here each of the layers are calculated separately with two semi-infinite layers with a fixed refractive index value sandwiched the two sides of the simulated layer. The reflection coefficient and the transmission coefficient for each layer can be then stored as a layer database. Different databases can be cascaded in any layer order to calculate a reflection or transmission responses of the layered structure.