Dresden 2017 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 27: Plasmonics and Nanooptics III: Light-Matter Interaction

HL 27.5: Talk

Monday, March 20, 2017, 18:00–18:15, TRE Ma

Adaptive spatial resolution in the 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

Optical devices based on nanostructures have many applications in different fields. For example, it has been shown that photonic crystal slabs can be used to control the polarization state emitted by quantum emitters [1]. One very efficient numerical method to model the optical properties of photonic crystal slabs and periodic arrays of nanoantennas is the Fourier modal method. However, due to the underlying Fourier basis, the Fourier modal method suffers from the Gibbs phenomenon, which results in spurious oscillations of the electromagnetic near fields around interfaces between different materials.

As an alternative to the Fourier basis, we have implemented a finite-difference basis for modal methods based on the approach in [2] and combined it with the coordinate transformation methods that are well-established in the standard Fourier modal method [3]. Thus, we have achieved significantly better convergence of the electromagnetic near fields as compared to the standard Fourier modal method as well as the finite difference modal method without coordinate transformations.

[1] S. V. Lobanov et al., Opt. Letters 40, 1528 (2015).

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

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