Local Coordinate Systems in the Galerkin Method for Modeling of Photonic Crystal Fibers with Material Inclusions.

Autor: Karakoleva, Elka, Zafirova, Blagovesta, Andreev, Andrey, Kuneva, Mariana
Předmět:
Zdroj: AIP Conference Proceedings; 2019, Vol. 2075 Issue 1, p030003-1-030003-8, 8p, 1 Diagram, 3 Charts, 1 Graph
Abstrakt: By reducing the heterogeneous medium of the photonic crystal fiber (PCF) to homogeneous media and introducing local coordinate systems and address functions in the presented development of the Galerkin method application, all holes and material inclusions of identical shape within them are calculated only once and independently of the presence of other holes and material inclusions. Thus, taking into account the exact profile of the refractive index, all double integrals i.e. the matrices of the eigenvalues (the propagating constants of the electric and magnetic fields of the modes) are analytically calculated. As a result, the relative error of the effective index of the fundamental mode of a PCF with two rings of holes is one to two orders of magnitude less than that of the effective index of the fundamental mode of the PCF with one ring of holes calculated by the plane wave expansion method (PWM), and the number of the members of the expansions of the magnetic field is three orders of magnitude less than that calculated by using PWM. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index