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A COMBINATION OF DIRICHLET TO NEUMANN OPERATORS AND PERFECTLY MATCHED LAYERS AS BOUNDARY CONDITIONS FOR OPTICAL
 

Summary: A COMBINATION OF DIRICHLET TO NEUMANN OPERATORS AND
PERFECTLY MATCHED LAYERS AS BOUNDARY CONDITIONS FOR OPTICAL
FINITE ELEMENT SIMULATIONS
Remco Stoffer1,2
, Ardsena Sopaheluwakan1
, Manfred Hammer1
, E. (Brenny) van Groesen1
1
University of Twente, MESA+
-Institute for Nanotechnology, P.O.Box 217, 7500AE Enschede, The Netherlands
2
PhoeniX Software, P.O. Box 545, 7500 AM Enschede, The Netherlands
remco.stoffer@phoenixbv.com
Abstract By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML's) as
boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages
of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into
the domain, while the PML's absorb light that is reflected from the corners of the domain when only DtN
boundaries are used.
I. INTRODUCTION
When performing simulations of optical phenomena, most existing methods calculate on a finite simulation win-

  

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

 

Collections: Engineering; Mathematics