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20012021
most citedDivergence of Dipole Sums and the Nature of Non-Lorentzian Exponentially Narrow Resonances in One-Dimensional Periodic Arrays of Nanospheres

177 citations · 1.1k across the 36 of their papers we have counts for

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physics.optics2015★ 5 cited

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…

physics.optics2015★ 4 cited

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…

math-ph2015★ 9 cited

Solution of the inverse scattering problem by T-matrix completion. II. Simulations

Howard W. Levinson, Vadim A. Markel

This is Part II of the paper series on data-compatible T-matrix completion (DCTMC), which is a method for solving nonlinear inverse problems. Part I of the series contains theory a…