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Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization
 

Summary: 1
Variational Effective Index Method for 3D Vectorial
Scattering Problems in Photonics: TE Polarization
O.V.(Alyona) Ivanova1
, Remco Stoffer2
, and Manfred Hammer1
1
University of Twente, MESA+ Institute for Nanotechnology, Enschede, The Netherlands
2
Phoenix Software, Enschede, The Netherlands
Abstract-- In order to reduce the computational effort we develop a method for 3D-to-2D
dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective
Index Method the effective parameters of the reduced problem are always rigorously defined using
the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic
crystal slab waveguide show that this approach predicts the location of the bandgap and other
spectral features much more precisely than any 'standard' EIM approximation.
1. INTRODUCTION
Fully vectorial 3D simulations of photonic components are often almost prohibitively CPU-time
and memory intensive, so one would opt for reduced models that capture the essence of the full
3D structure, while being computationally much more efficient. Traditionally, integrated optics

  

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

 

Collections: Engineering