Analytical-numerical study of electromagnetic scattering on small-size particles

Ivan Bolesta; Antonina Demchuk; Mykhaylo Andriychuk; Oleksii Kushnir; Bohdan Horon

doi:10.3103/S0735272723100011

Authors

Ivan Bolesta Ivan Franko National University, Lviv, Ukraine https://orcid.org/0000-0002-7580-3495
Antonina Demchuk Ivan Franko National University, Lviv, Ukraine https://orcid.org/0000-0002-4006-0206
Mykhaylo Andriychuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics; Lviv Polytechnic National University, Lviv, Ukraine https://orcid.org/0000-0001-9380-8807
Oleksii Kushnir Ivan Franko National University, Lviv, Ukraine https://orcid.org/0000-0002-1393-7025
Bohdan Horon Ivan Franko National University, Lviv, Ukraine https://orcid.org/0000-0002-4595-5789

DOI:

https://doi.org/10.3103/S0735272723100011

Keywords:

electromagnetic scattering, discrete dipole method, asymptotic method, extinction spectrum, directional pattern, simulation results

Abstract

The paper deals with solving the problem of electromagnetic (EM) scattering on a set of small particles using the discrete dipole method and the asymptotic approach. The commonality of approaches makes it possible to study the scattering characteristics in the subterahertz range of waves on metal and dielectric nanoparticles. In both cases, an auxiliary system of linear algebraic equations (SLAE) is solved to determine the electric field vectors, which, in the case of the asymptotic approach, has a slightly smaller dimension. The limits of applying the asymptotic approach, which depends on the norm of the auxiliary SLAE matrix, have been established. Numerical calculations demonstrate the possibility of obtaining broad extinction spectra and narrow radiation patterns (RPs).

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