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A dimensionality reduction technique for 2D scattering problems in photonics
 

Summary: A dimensionality reduction technique
for 2D scattering problems in photonics
O. V. (Alyona) Ivanova1
, Remco Stoffer2
, and Manfred Hammer1
1
MESA+ Institute for Nanotechnology, University of Twente, Enschede, The Netherlands
2
PhoeniX Software, Enschede, The Netherlands
Abstract
This paper describes a simulation method for 2D frequency domain scattering problems in
photonics. The technique reduces the spatial dimensionality of the problem by means of global,
continuous mode expansion combined with a variational formalism; the resulting equations are
solved using a finite element method. Transparent influx boundary conditions and perfectly
matched layers are employed at the computational window boundaries. Numerical examples
validate the method.
Keywords: integrated optics; numerical modelling; optical scattering; variational methods
PACS: 42.82.m; 42.82.Et
1 Introduction
Photonic integrated circuit design relies in general heavily on computational tools. Simulations

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering