31 citations · 105 across the 22 of their papers we have counts for
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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…
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…
The FLAME-slab method for electromagnetic wave scattering in aperiodic slabs
Shampy Mansha, Igor Tsukerman, Y. D. Chong
The proposed numerical method, "FLAME-slab," solves electromagnetic wave scattering problems for aperiodic slab structures by exploiting short-range regularities in these structure…
Can photonic crystals be homogenized in higher bands?
Vadim A. Markel, Igor Tsukerman
We consider conditions under which photonic crystals (PCs) can be homogenized in the higher photonic bands and, in particular, near the -point. By homogenization we mean introdu…
Nonasymptotic Homogenization of Periodic Electromagnetic Structures: Uncertainty Principles
Igor Tsukerman, Vadim A. Markel
We show that artificial magnetism of periodic dielectric or metal/dielectric structures has limitations and is subject to at least two "uncertainty principles". First, the stronger…