Transparent-Influx Boundary Conditions for FEM Based Modelling of 2D Helmholtz Problems in Optics


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Nicolau, J.B. and Groesen, E. van and Hammer, M. (2004) Transparent-Influx Boundary Conditions for FEM Based Modelling of 2D Helmholtz Problems in Optics. In: 12th International Workshop on Optical Waveguide Theory and Numerical Modelling, March 22-23, 2004, Ghent, Belgium (pp. p. 26).

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Abstract:A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem. For rectangular geometries, the non-locality of those boundaries can be efficiently handled by using Fourier decomposition. The Finite Element Method is used to discretise the interior and the nonlocal Dirichlet-to-Neumann operators arising from the formulation of Transparent-Influx Boundary Conditions.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/47540
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