Stefan F. Helfert

TL;DR: Several key techniques for modeling photonic devices, including several mode-solving techniques, the beam propagation method, the method of lines, and the finite-difference time-domain technique are reviewed.

TL;DR: In this paper, a comparison among several fully-vectorial methods applied to a basic scattering problem governed by the physics of the electromagnetic interaction between subwavelength apertures in a metal film is presented.

TL;DR: In this paper, an algorithm for the analysis of optical periodic structures with a very large number of periods with minimum numerical problems is presented, for this purpose the stable impedance transfer is combined with Floquet's theorem.

TL;DR: In this paper, modal reflection, transmission and loss of deeply etched Bragg waveguide gratings were modelled by six European laboratories using independently developed two-dimensional numerical codes based on four different methods, with very good mutual agreement.

TL;DR: In this paper, a semianalytical algorithm for the determination of eigenmodes and for the analysis of longitudinally varying structures is presented. But the results prove stability of the algorithm, and comparisons with other methods show the accuracy.