Regensburg 2016 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 10: Plasmonics and Nanooptics: Light-Matter Interaction

HL 10.9: Vortrag

Montag, 7. März 2016, 12:45–13:00, S054

Efficiency analysis of a finite-difference modal method for the derivation of electromagnetic fields — •Izzatjon Allayarov, Martin Schäferling, Maxim Nesterov, and Thomas Weiss — 4th Physics Institute and Research Center SCoPE, University of Stuttgart, Germany

Accurate numerical derivation of electromagnetic fields is important for many questions such as modeling the enhanced spontaneous emission due to the Purcell effect. Finite element methods (FEM) offer high accuracy, but are slow and tedious to implement. For periodic systems, the Fourier modal method (FMM) is a fast and reliable alternative. However, the underlying Fourier basis cannot resolve high contrasts of the dielectric constant accurately, which is especially problematic when fields close to such interfaces should be calculated.

We present an implementation of a finite difference basis for modal methods (FDMM) [1], which can exactly model arbitrary steps in the dielectric constant. We compare the accuracy and the calculation time to standard FMM as well as to FEM. Our results indicate that the accuracy of the fields is higher for the FDMM compared to the FMM for comparable calculation times.

Additionally, we will discuss the possibility to combine this finite-difference basis with the coordinate transformation methods that have already been applied to the FMM [2]. This will allow for precise calculations of non-rectangular geometries using the FDMM.

[1] I. Semenikhin, and M. Zanuccoli, JOSA A 30, 2531 (2013).

[2] T. Weiss et al., Opt. Express 17, 8051 (2009).