Features of Reflection from the Layer of Hyperbolic Metamaterial

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XVIII INTERNATIONAL SYMPOSIUM “NANOSTRUCTURES: PHYSICS AND TECHNOLOGY”, MINSK, REPUBLIC OF BELARUS, SEPTEMBER, 2020. NANOSTRUCTURE CHARACTERIZATION

Features of Reflection from the Layer of Hyperbolic Metamaterial S. N. Kurilkinaa,*, N. S. Petrovb,**, V. N. Belyia,***, and A. B. Ziminc,**** a

b

B.I. Stepanov Institute of Physics of National Academy of Sciences of Belarus, Minsk, Belarus Institute for Advanced Training and Retraining of Personnel on New Directions for the Development of Technics, Technology and Economics of the Belarusian National Technical University, Minsk, Belarus c Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus *e-mail: [email protected] **e-mail: [email protected] ***e-mail: [email protected] ****e-mail: [email protected] Received June 23, 2020; revised July 23, 2020; accepted July 27, 2020

Abstract—In this paper, we investigate the features of reflection of a plane elliptically polarized electromagnetic wave fallen from isotropic transparent dielectric on a layer of hyperbolic metamaterial with optical axis in an interface and main effective dielectric permittivities less than the permittivity of dielectric. The cases are analyzed when one (ordinary or extraordinary) wave or two waves, exited inside the layer, are inhomogeneous. It is shown that for certain sub-wavelength thickness of the layer one can choose the angles of incidence for which two inhomogeneous (evanescent) waves existing in this layer totally tunnel through it. It is established that, in contrary to ordinary uniaxial crystal, maximal value of reflection coefficient from the metamaterial layer approaches the unity when the thickness increases. Keywords: hyperbolic metamaterial, effective medium theory, electromagnetic wave, reflection, polarization DOI: 10.1134/S1063782620120167

1. INTRODUCTION Currently, the attention of many researchers is attracted to metamaterials—artificially synthesized media containing, as a rule, metal nanoinclusions, orderly embedded in a dielectric matrix [1]. This interest is associated with the prospects of using such materials to control the parameters of light beams, to obtain images with sub-wavelength resolution [2, 3], in nanolithography, etc. One type of metamaterials is hyperbolic metamaterials (HMM), described in the approximation of an effective medium by the uniaxial dielectric permittivity tensor, the main values of which differ by sign. Most practical applications of HMM are associated with the features of the electromagnetic waves generated in them, among which inhomogeneous waves occupy a special place. They arise, for example, in transparent media with less refractive index in condition of total reflection of light. In [4] it is shown the possibility of existence of special inhomogeneous waves near the boundary of hyperbolic metamamterial. For these waves vector amplitude decays nonexponentially moving from the boundary.

tropic transparent medium on a hyperbolic metamaterial layer (Fig. 1), the optical axis of which is parallel to