31 citations · 105 across the 22 of their papers we have counts for
23 papers
Conforming and nonconforming Trefftz approximations for two-dimensional scalar electromagnetic problems
Igor Tsukerman
Trefftz functions satisfy the differential equation locally and exactly; quasi-Trefftz functions do so approximately to prescribed high order. This paper considers (quasi-)Trefftz…
Full-field and Bloch-periodic-factor discretizations: Accuracy and phantom modes
Igor Tsukerman
One can distinguish four major formulations of the Bloch-mode problem in linear periodic media. First, there are two common complementary ways of slicing the Bloch variety (Bloch w…
Bulk-Boundary Correspondence in 2D Photonics: Analysis and Simulation
Igor Tsukerman
The centerpiece of topological photonics is the bulk-boundary correspondence principle (BBCP), which relates discrete invariants of the Bloch bands to the possible presence of inte…
Trefftz Functions for Nonlocal Electrostatics
Igor Tsukerman
Electrostatic interactions in solvents play a major role in biophysical systems. There is a consensus in the literature that the dielectric response of aqueous solutions is nonloca…
Effective Medium Transformation: the Case of Stratified Magnetic Structures
Markus Schöbinger, Karl Hollaus, Igor Tsukerman
Effective medium theory replaces a given fine-scale heterostructure with a homogeneous one in such a way that the physically measurable quantities, e.g. reaction fields and losses,…
Homogenization of Layered Media: Intrinsic and Extrinsic Symmetry Breaking
Igor Tsukerman, A N M Shahriyar Hossain, Y. D. Chong
A general homogenization procedure for periodic electromagnetic structures, when applied to layered media with asymmetric lattice cells, yields an effective tensor with magnetoelec…