78 citations · 100 across the 6 of their papers we have counts for
6 papers
Stationary iteration methods for solving 3D electromagnetic scattering problems
Alexander Samokhin, Yury Shestopalov, Kazuya Kobayashi
Generalized Chebyshev iteration (GCI) applied for solving linear equations with nonselfadjoint operators is considered. Sufficient conditions providing the convergence of iteration…
Essential state of the electromagnetic field and the double-slit experiment
Neil V. Budko, Alexander B. Samokhin
A new class of generalized solutions related to the essential spectrum of linear Maxwell's equations is presented. The essential modes are given in terms of normalized singular Wey…
Collapsing Solutions of the Maxwell Equations
Neil V. Budko, Alexander B. Samokhin
We derive the essential space-time spectrum of the Maxwell equations in linear isotropic inhomogeneous media together with the corresponding essential modes. These modes represent…
Singular Modes of the Electromagnetic Field
Neil V. Budko, Alexander B. Samokhin
We show that the mode corresponding to the point of essential spectrum of the electromagnetic scattering operator is a vector-valued distribution representing the square root of th…
Classification of electromagnetic resonances in finite inhomogeneous three-dimensional structures
Neil V. Budko, Alexander B. Samokhin
We present a simple and unified classification of macroscopic electromagnetic resonances in finite arbitrarily inhomogeneous isotropic dielectric 3D structures situated in free spa…
Spectrum of the volume integral operator of electromagnetic scattering
Neil V. Budko, Alexander B. Samokhin
Spectrum of the volume integral operator of the three-dimensional electromagnetic scattering is analyzed. The operator has both continuous essential spectrum, which dominates at lo…