A Model Order Reduction Method for Efficient Band Structure Calculations of Photonic Crystals

Author

Scheiber, Christian ; Schultschik, Alwin ; Bíró, Oszkár ; Dyczij-Edlinger, Romanus

Author_Institution

Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ. of Technolgy, Graz, Austria

Volume

47

Issue

5

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

1534

Lastpage

1537

Abstract

The goal of this paper is to compute k-β diagrams of photonic crystals, accurately and fast. For this purpose, we propose a multipoint model-order reduction scheme for the modal analysis of periodic structures, based on the finite element method. Our numerical example demonstrates that the new approach is significantly faster than conventional finite-element solutions, while error levels are very similar. The proposed method allows for an adaptive choice of the expansion points for the reduced model.

Keywords

finite element analysis; materials science computing; modal analysis; photonic band gap; photonic crystals; efficient band structure calculations; error levels; finite element method; k-β diagrams; modal analysis; multipoint model order reduction method; photonic crystals; Eigenvalues and eigenfunctions; Iron; Photonic band gap; Read only memory; Scattering; Eigenvalue problems; finite-element methods; model order reduction; periodic structures; photonic crystals;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2081973

Filename

5754782