Discontinuous Galerkin methods in nanophotonics

Stretched-coordinate PMLs for Maxwell’s equations in the discontinuous Galerkin time-domain method

(2011) Michael König et al.   OPTICS EXPRESS

Photonic-crystal time-domain simulations using Wannier functions

(2011) Christian Blum et al.   OPTICS LETTERS

Optical ring resonators for biochemical and chemical sensing

(2010) Yuze Sun et al.   ANALYTICAL AND BIOANALYTICAL CHEMISTRY

Local Timestepping Techniques Using Taylor Expansion for Modeling Electromagnetic Wave Propagation With Discontinuous Galerkin-FEM

(2010) S. Schomann et al.   IEEE TRANSACTIONS ON MAGNETICS

GPU Accelerated Adams–Bashforth Multirate Discontinuous Galerkin FEM Simulation of High-Frequency Electromagnetic Fields

(2010) Nico Godel et al.   IEEE TRANSACTIONS ON MAGNETICS

Comparison of Low-Storage Runge-Kutta Schemes for Discontinuous Galerkin Time-Domain Simulations of Maxwell's Equations

(2010) Richard Diehl et al.   Journal of Computational and Theoretical Nanoscience

Improving Nano-Optical Simulations Through Curved Elements Implemented within the Discontinuous Galerkin Method Computational

(2010) Andreas Hille et al.   Journal of Computational and Theoretical Nanoscience

The photonic Wannier function approach to photonic crystal simulations: status and perspectives

(2010) Kurt Busch et al.   JOURNAL OF MODERN OPTICS

Optimal Penalty Parameters for Symmetric Discontinuous Galerkin Discretisations of the Time-Harmonic Maxwell Equations

(2010) D. Sármány et al.   JOURNAL OF SCIENTIFIC COMPUTING

Spectral element methods on unstructured meshes: which interpolation points?

(2010) Richard Pasquetti et al.   NUMERICAL ALGORITHMS

Generation of adaptive coordinates and their use in the Fourier Modal Method

(2010) Sabine Essig et al.   OPTICS EXPRESS

Electromagnetic interaction of split-ring resonators: The role of separation and relative orientation

(2010) Nils Feth et al.   OPTICS EXPRESS

The Discontinuous Galerkin Time-Domain method for Maxwell’s equations with anisotropic materials

(2010) Michael König et al.   Photonics and Nanostructures-Fundamentals and Applications

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

(2009) Christophe Geuzaine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics

(2009) Hassan Fahs et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Finite Difference Approximation for Pricing the American Lookback Option

(2009) Tie Zhang et al.   JOURNAL OF COMPUTATIONAL MATHEMATICS

Nodal discontinuous Galerkin methods on graphics processors

(2009) A. Klöckner et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Locally implicit discontinuous Galerkin method for time domain electromagnetics

(2009) Victorita Dolean et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Simulation of optical resonators using DGTD and FDTD

(2009) J Niegemann et al.  

Design guidelines for optical resonator biochemical sensors

(2009) Juejun Hu et al.   JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Discontinuous Galerkin time-domain computations of metallic nanostructures

(2009) Kai Stannigel et al.   OPTICS EXPRESS

Accurate finite-difference time-domain simulation of anisotropic media by subpixel smoothing

(2009) Ardavan F. Oskooi et al.   OPTICS LETTERS

Nanostructured Plasmonic Sensors

(2008) Matthew E. Stewart et al.   CHEMICAL REVIEWS

Dissipative terms and local time-stepping improvements in a spatial high order Discontinuous Galerkin scheme for the time-domain Maxwell’s equations

(2008) E. Montseny et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Absolute extinction cross-section of individual magnetic split-ring resonators

(2008) Martin Husnik et al.   Nature Photonics

Nanometric optical tweezers based on nanostructured substrates

(2008) A. N. Grigorenko et al.   Nature Photonics

Higher-order time-domain methods for the analysis of nano-photonic systems

(2008) Jens Niegemann et al.   Photonics and Nanostructures-Fundamentals and Applications

Highly efficient spatiotemporal coherent control in nanoplasmonics on a nanometer-femtosecond scale by time reversal

(2008) Xiangting Li et al.   PHYSICAL REVIEW B

Hiding under the Carpet: A New Strategy for Cloaking

(2008) Jensen Li et al.   PHYSICAL REVIEW LETTERS

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods

(2007) Victorita Dolean et al.   JOURNAL OF COMPUTATIONAL PHYSICS