Open AccessOn the relation between the propagation constant of Bloch surface waves and the thickness of the upper layer of a photonic crystal
Author(s) -
Evgeni A. Bezus,
Dmitry A. Bykov,
Leonid L. Doskolovich
Publication year - 2018
Publication title -
kompʹûternaâ optika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 29
eISSN - 2412-6179
pISSN - 0134-2452
DOI - 10.18287/2412-6179-2018-42-1-22-27
Subject(s) - photonic crystal , dispersion relation , bloch wave , dispersion (optics) , constant (computer programming) , surface (topology) , crystal (programming language) , surface wave , layer (electronics) , physics , optics , homogeneous , condensed matter physics , materials science , mathematical analysis , mathematics , geometry , statistical physics , nanotechnology , computer science , programming language
We consider the derivation of a dispersion relation of Bloch surface waves supported by interfaces between a semi-infinite one-dimensional photonic crystal and a homogeneous medium. From the derived dispersion relation, we obtain an explicit analytical expression that defines the relationship between the propagation constant and the thickness of the upper layer of the photonic crystal.