Open AccessPerturbative numerical modeling of microstructure fibers
Author(s) -
John M. Fini
Publication year - 2004
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.12.004535
Subject(s) - multipole expansion , birefringence , optics , degrees of freedom (physics and chemistry) , fiber , computer science , boundary value problem , physics , materials science , quantum mechanics , composite material
Modeling of microstructure fibers often involves severe computational bottlenecks, in particular when a design space with many degrees of freedom must be analyzed. Perturbative versions of numerical mode-solvers can substantially reduce the computational burden of problems involving automated optimization or irregularity analysis, where perturbations arise naturally. A basic theory is presented for perturbative multipole and boundary element methods, and the speed and accuracy of the methods are demonstrated. The specific optimization results in an elliptical-hole birefringent fiber design, with substantially higher birefringence than the intuitive unoptimized design.