THE COMPETITION OF BRAGG REFLECTION AND
FRESNEL'S REFLECTION OF ELECTROMAGNETIC WAVES
IN THE ARTIFICIAL HELICOIDAL BIANISOTROPIC MEDIA
WITH LOCAL CHIRALITY
1. V. SEMCHENKO and S. A. KHAKHOMOV
Department of General Physics, Gamel State University
Sovyetskaya Str. 104, 246019, Gamel, Belarus
Abstract . On the base of the exact solution of the boundary-value problem for artificial
helicoidal media with local chirality we describe the reflection of electromagnetic waves on
the periodic structure of medium as well as Fresnel's reflection from sample's boundaries.
It allows to model the transmission and reflection of electromagnetic waves in dependence
on the obtained parameters of artificial helicoidal medium and to design the device for
polarization transformation. A possibility of the minimizing of size of a structure for
transformations of the polarization state of electromagnetic waves is shown.
1. Introduction
In paper [1] was shown a possibility of the design of a structure whose mi-
crowave properties are similar to the optical properties of cholesteric liquid
crystals. This structure also exhibits local chirality because it contains the
small wire helices. Such a structure can be a multilayer anisotropic chiral
sample. When the number of layers increases, the helices turn at a constant
angle around the axis which is perpendicular to the planar (see Fig. 1).
As a result the sample as a whole acquires a macroscopic helicoidal
structure which is analogical to the structure of cholesteric liquid crystals.
Methods to design and manufacture artificial chiral media with uniaxial
homogeneous structure were described in [2] . It was proposed to wind
thin wires around Nylon threads, to align these helices and then to cast
them into epoxy resin. In this case the permittivity and chirality of the
effective medium are characterized by uniaxial tensors, the axis of which is
oriented along the direction of the parallel Nylon threads. The axis of the
macroscopic helicoidal structure is orthogonal to both the boundaries of the
layers and the Nylon lines (see Fig. 1), i.e., to the local optical axes oflayers.
307
S. Zouhdi et al. [eds.), Advances in Electromagnetics a/Complex Media and Metamaterials, 307-318.
© 2003 KluwerAcademic Publishers. Printed in the Netherlands.