Tailoring Effective Media by Mie Resonances of Radially-Anisotropic Cylinders

Abstract

This paper studies constructing advanced effective materials using arrays of circular radially-anisotropic (RA) cylinders. Homogenization of such cylinders is considered in an electrodynamic case based on Mie scattering theory. The homogenization procedure consists of two steps. First, we present an effectively isotropic model for individual cylinders, and second, we discuss the modeling of a lattice of RA cylinders. Radial anisotropy brings us extra parameters, which makes it possible to adjust the desired effective response for a fixed frequency. The analysis still remains simple enough, enabling a derivation of analytical design equations. The considered applications include generating artificial magnetism using all-dielectric cylinders, which is currently a very sought-after phenomenon in optical frequencies. We also study how negative refraction is achieved using magnetodielectric RA cylinders.

Tunable Scattering Cancellation of Light Using Anisotropic Cylindrical Cavities

“…From a practical point of view, a radially anisotropic medium may be established by the proper form birefringence of a metamaterial composed of concentric multilayers as illustrated in Fig. 1(b) [21,22]. Here, two materials with permittivity of opposite sign were used for the stratified medium in order to substantially increase the form birefringence [23].…”

Quasi-Static Analysis of Scattering From a Metallic Sphere Coated by Radially Anisotropic Material

“…In the second part, the impact of variation of radial and tangential components of the anisotropy is studied taking a 1 = 160 nm and a 2 = 100 nm. It may be noted that values of the anisotropic permittivity used in this paper are taken from [30]. Impacts on polarizability, scattering cross sections, absorption, and extinction cross section for tungsten metal by varying a 2 or a 1 are shown in Figures 3-5 that the increase in radius of core a 2 by 45 nm causes the shift in the position of peak values of polarizability, scattering cross section, absorption, and extinction cross sections towards shorter wavelength by 110 nm, 115 nm, 100 nm, and 120 nm, respectively.…”

Optimization of multilayered nanotubes for maximal scattering cancellation

“…The interpretation of such significant reduction in scattering may be carried out, at least partially, in terms of the effective medium theory. For sufficiently narrow slabs (Λ ≪ λ ), a radially form birefringence may be established for the metamaterial composed of concentric multilayers [21,22]. In this case, TM z -polarized fields behave like ordinary waves propagating in a uniaxial crystal with optic axis set along the radial coordinate [23].…”