783 citations · 1.9k across the 58 of their papers we have counts for
10 papers · 1 filter
Resonance modes in microstructured photonic waveguides: Efficient and accurate computation based on AAA rational approximation
Felix Binkowski, Fridtjof Betz, Martin Hammerschmidt +2
We present a framework for the efficient and accurate computation of resonance modes in photonic waveguides. The framework is based on AAA rational approximation with the applicati…
Computing eigenfrequency sensitivities near exceptional points
Felix Binkowski, Julius Kullig, Fridtjof Betz +4
Exceptional points are spectral degeneracies of non-Hermitian systems where both eigenfrequencies and eigenmodes coalesce. The eigenfrequency sensitivities near an exceptional poin…
Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
Felix Binkowski, Fridtjof Betz, Martin Hammerschmidt +3
Resonances are omnipresent in physics and essential for the description of wave phenomena. We present an approach for computing eigenfrequency sensitivities of resonances. The theo…
Using Gaussian process regression for efficient parameter reconstruction
Philipp-Immanuel Schneider, Martin Hammerschmidt, Lin Zschiedrich +1
Optical scatterometry is a method to measure the size and shape of periodic micro- or nanostructures on surfaces. For this purpose the geometry parameters of the structures are obt…
Quasinormal mode solvers for resonators with dispersive materials
P. Lalanne, W. Yan, A. Gras +16
Optical resonators are widely used in modern photonics. Their spectral response and temporal dynamics are fundamentally driven by their natural resonances, the so-called quasinorma…
A Riesz-projection-based method for nonlinear eigenvalue problems
Felix Binkowski, Lin Zschiedrich, Sven Burger
We propose an algorithm for general nonlinear eigenvalue problems to compute physically relevant eigenvalues within a chosen contour. Eigenvalue information is explored by contour…