Computer simulation of nanoscale and molecular-scale systems
- Metamaterials. Non-asymptotic and nonlocal effective medium theory. Backward waves and negative refraction.
- Wave propagation in complex media.
- Nano-optics: plasmonic field enhancement.
- Topological photonics
- Magnetic assembly of micro- and nanoparticles.
- Long-range electrostatic interactions in heterogeneous media and electrolytes.
Computational methods
- Flexible Local Approximation MEthods (FLAME), a new finite difference calculus. Schemes for wave propagation and scattering: Cartesian grids without ‘staircase’ effects.
- Absorbing boundary conditions for wave problems.
- Singularity-free boundary difference methods.
- Applied Finite Element Analysis, Multigrid Methods and Generalized FEM.
- Overlapping finite elements for problems with movement (electric machines, nondestructive testing).
- Finite Element Theory: a priori error estimates.
- Formulations of electromagnetic problems.
Collaborators
Vadim Markel, UPenn
Karl Hollaus and Markus Schöbinger, TU-Wien
Lijun Jiang, Hong Kong University
Ralf Hiptmair, ETH Zürich
Stéphane Clenet, ENSAM, Lille, France
Sascha Schnepp, ETH Zürich & TU-Darmstadt
Sergey Bozhevolnyi, University of Southern Denmark
Mark Stockman, Georgia State
Mark succumbed to cancer in 2020. He was really special and full of character. A big loss to everyone who knew him, and to the whole optics/photonics/plasmonics community.