Analytical Inverse Design of Polarization-Insensitive Photonic Filters by Tailoring Fabry-Perot Interference

Abstract

Filtering of photonic signals of a certain frequency while suppressing all the others of a specific band for both electromagnetic signal polarizations, becomes possible with a single dielectric layer by properly engineering the occurred Fabry-Perot interference. Analytical formulas for combinations of cavity size, material texture and incoming angle are given so that the filtering purpose is optimally served. In this way, inverse design for a simple class of optical setups is rigorously performed and, if the employed medium is very dense and the working band narrow enough, sharp filters with increased frequency selectivity are obtained.

Keywords

• Fabry-Perot interference
• photonic filter
• inverse design