Research Article
The Terahertz Controlled Duplex Isolator: Physical Grounds and
Numerical Experiment
Konstantin Vytovtov,
1
Said Zouhdi,
2
Rostislav Dubrovka,
3
and Volodymyr Hnatushenko
1
1
Department of Physics, Electronics and Computing Systems, Oles Honchar Dnipropetrovsk National University,
Gagarina 72, Dnipropetrovsk 49010, Ukraine
2
Laboratoire de G´ enie Electrique de Paris, SUPELEC, 91192 Gif-sur-Yvette, France
3
Queen Mary University of London, UK
Correspondence should be addressed to Volodymyr Hnatushenko; vvgnatush@gmail.com
Received 27 June 2015; Revised 23 November 2015; Accepted 24 December 2015
Academic Editor: Dmitry Kholodnyak
Copyright © 2016 Konstantin Vytovtov et al. Tis is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Electromagnetic properties of an anisotropic stratifed slab with an arbitrary orientation of the anisotropy axis under an oblique
incidence of a plane harmonic wave are studied. Te dependence of the eigenwave wavenumbers and the refection coefcient on
an anisotropy axis orientation and frequency is investigated. For the frst time, the expression for the translation matrix is obtained
in the compact analytical form. Te controlled two-way dual-frequency (duplex) isolator based on the above described slab is
presented for the frst time. It is based on the properties of the anisotropic structure described here but not on the Faraday efect.
1. Introduction
Te terahertz domain actively developed in the last decades
[1–5]. Various devices have been created and numerous
electromagnetic structures have been used in this frequency
range. One of the most interesting classes of terahertz devices
is the class of nonreciprocal devices [1–10]. Usually, the
Faraday rotation efect itself is exploited naturally to achieve
desired nonreciprocal performance [1]. Te electrically tun-
able Faraday efect in a HgTe thin flm has been reported in
[2]. Faraday rotation has also been studied for pump pulse
of terahertz radiation [3]. In [4], the heterostructures based
on the piezoelectric and semiconductor layers have been
proposed for radio frequency applications. Other examples
of nonreciprocal properties of nonlinear devices in terahertz
range have been presented in [5] where a Faraday isola-
tor operating on the coupled microwave resonators circuit
has been proposed. A theoretical study of the refection
of infrared radiation from antiferromagnets and -type
barium hexagonal ferrite using an attenuated total refection
geometry has been presented in [6]. Nonreciprocal devices
using attenuated total refection and thin flm magnetic
layered structures have been described in [7]. Tus, we
can clearly see that this topic is quite relevant in modern
microwave science.
In this paper, we consider nonreciprocal properties of an
anisotropic structure based on dependence of the refection
coefcient on an incident wave direction and an anisotropy
axis orientation, but not on the Faraday efect. Te physical
grounds and numerical simulations of a controlled bidi-
rectional dual-frequency isolator not based on the Faraday
efect are presented. For this, the analytical investigation and
numerical calculations of a stratifed anisotropic structure are
carried out. At frst, the elements of the translation matrix are
written in the compact analytical form (4) for the general case
of an anisotropic medium for the frst time. It is important
that these elements are expressed in elementary algebraic
functions. Te obtained form is very useful in subsequent
numerical experiments.
In this work, it also is found that the refection coefcients
are diferent for diferent incidence angles and −. Tus, a
structure shows nonreciprocal properties.
Tese properties allow us to build nonreciprocal elements
in the terahertz domain. Te physical principles of construc-
tion of a two-way double-frequency (duplex) isolator are
described here. Tese principles are based on dependence
Hindawi Publishing Corporation
International Journal of Microwave Science and Technology
Volume 2016, Article ID 1468508, 7 pages
http://dx.doi.org/10.1155/2016/1468508