Generation of high-frequency interference patterns of evanescent electromagnetic waves at Fabry-Perot resonances in dielectric photonic crystals

A diffraction structure for generating high-frequency interference patterns of evanescent electromagnetic waves based on the interference of “volume” modes of dielectric photonic crystals at Fabry-Perot resonances is discussed. For the prediction of the angular locations of the Fabry-Perot resonances, a simple approach for the description of diffraction of a plane electromagnetic wave by a finite photonic crystal is proposed, which is based on the representation of the field inside the photonic crystal in the form of superposition of two counterpropagating “volume” modes of the photonic crystal. The results obtained may find an application in the design of new near-field interference lithography devices.