Spherical Bessel solutions of Maxwell’s equations in inhomogeneous rotationally symmetric media

Authors

  • Andrey V. Novitsky Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus https://orcid.org/0000-0001-9553-7318 (unauthenticated)
  • Richard Jose Alvarez Rodriguez Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Vladimir M. Galynsky Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Keywords:

anisotropic medium, metamaterials, propagation of electromagnetic waves
Supporting Agencies
Белорусский республиканский фонд фундаментальных исследований (грант Ф16Р-049)

Abstract

Matrix approach applied earlier for description of electromagnetic waves in homogeneous rotationally symmetric media is generalized to inhomogeneous bianisotropic media. We propose the general method to determine material parameters of inhomogeneous media depending on the electromagnetic wave’s profile. We consider an inverse problem which is the search of the material tensors of inhomogeneous rotationally symmetric media with predetermined electric and magnetic wave’s fields in the form of spherical Bessel functions. Functioning of the approach is demonstrated with a particular example. The approach can be applied to create the required response of the artificial medium (metamaterial) on the external radiation.

Author Biographies

  • Andrey V. Novitsky, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    doctor of science (physics and mathematics), docent; professor at the department of theoretical physics and astrophysics, faculty of physics

  • Richard Jose Alvarez Rodriguez, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    postgraduate student at the department of theoretical physics and astrophysics, faculty of physics

  • Vladimir M. Galynsky, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    PhD (physics and mathematics); associate professor at the department of theoretical physics and astrophysics, faculty of physics

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Published

2017-01-23

Issue

No. 1 (2017): Journal of the Belarusian State University. Physics

Section

Physics of Electromagnetic Phenomena

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How to Cite

(1)
Novitsky, A. V.; Rodriguez, R. J. A.; Galynsky, V. M. Spherical Bessel Solutions of Maxwell’s Equations in Inhomogeneous Rotationally Symmetric Media. Журнал Белорусского государственного университета. Физика 2017, No. 1, 52-60.