Open AccessExceptional points in composite structures consisting of two dielectric diffraction gratings with Lorentzian line shape
Author(s) -
Nikita V. Golovastikov,
Dmitry A. Bykov,
Leonid L. Doskolovich
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2015/1/012049
Subject(s) - diffraction , formalism (music) , dielectric , scattering , composite number , optics , physics , reflection (computer programming) , matrix (chemical analysis) , mathematical analysis , geometry , mathematics , materials science , quantum mechanics , computer science , algorithm , composite material , art , musical , visual arts , programming language
Using scattering matrix formalism we derive analytical expressions for the eigenmodes of a composite structure consisting of two dielectric diffraction gratings with Lorentzian profile in reflection. Analyzing these expressions we prove formation of two distinct pairs of exceptional points, provide analytical approximations for their coordinates and by rigorous simulation demonstrate eigenmodes interchange as a result of encircling said exceptional points.