FEM modelling of 3D photonic crystals and photonic crystal waveguides

被引：25

作者：

Burger, S ^{[1
]}

Klose, R ^{[1
]}

Schädle, A ^{[1
]}

Schmidt, F ^{[1
]}

Zschiedrich, L ^{[1
]}

机构：

[1] Zuse Inst Berlin, D-14195 Berlin, Germany

来源：

INTEGRATED OPTICS: DEVICES, MATERIALS, AND TECHNOLOGIES IX | 2005年 / 5728卷

关键词：

3D photonic crystals; photonic crystal waveguides; finite-element method; Maxwell's equations; nano-optics;

D O I：

10.1117/12.585895

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

We present a finite-element simulation tool for calculating light fields in 3D nano-optical devices. This allows to solve challenging problems on a standard personal computer. We present solutions to eigenvalue problems, like Bloch-type eigenvalues in photonic crystals and photonic crystal waveguides, and to scattering problems, like the transmission through finite photonic crystals. The discretization is based on unstructured tetrahedral grids with an adaptive grid refinement controlled and steered by an error-estimator. As ansatz functions we use higher order, vectorial elements (Nedelec, edge elements). For a fast convergence of the solution we make use of advanced multi-grid algorithms adapted for the vectorial Maxwell's equations.

引用

页码：164 / 173

页数：10

共 14 条

[1]

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[2]

DEUFHARD P, 2003, ADAPTIVE MULTIGRID M, P279

[3]

Deuflhard P, 2003, MATHEMATICS - KEY TECHNOLOGY FOR THE FUTURE, P279

[4]

Dobson D. C., 2001, Computational Methods in Applied Mathematics, V1