A dimensionality reduction technique for 2D scattering problems in photonics

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 el...

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Bibliographic Details
Published in:Journal of optics (2010) 2010-03, Vol.12 (3), p.035502-035502
Main Authors: (Alyona) Ivanova, O V, Stoffer, Remco, Hammer, Manfred
Format: Article
Language:English
Subjects:
Boundaries
Computer simulation
Diffraction and scattering
Exact sciences and technology
Formalism
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Optics
Photonics
Physics
Scattering
Two dimensional
Wave optics
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Summary: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.
ISSN:2040-8986
2040-8978
2040-8986
DOI:10.1088/2040-8978/12/3/035502