# Scattering Cross Section in a Cylindrical anisotropic layered metamaterial

## TL;DR

This paper introduces a cylindrical anisotropic layered metamaterial with azimuthal layers for TE polarization, analyzing its scattering efficiency and confirming that zero permittivity frequencies lead to negligible scattering, with environmental permittivity affecting cancellation.

## Contribution

It presents a novel azimuthally layered cylindrical metamaterial design and analyzes its scattering properties, extending previous radial-layer work.

## Key findings

- Zero permittivity frequencies reduce scattering efficiency.
- Scattering cancellation depends on environmental permittivity.
- Finite element simulations confirm analytical results.

## Abstract

To design a uniaxial anisotropic metamaterial a layered cylindrical metamaterial is introduced for TE polarization. Unlike to the previous work, which the layers were in radial direction, here the layers are in azimuthal direction. Scattering efficiency for this metamaterial in different frequency is analyzed with solving Maxwell's wave equation. It is observed that in some frequencies when the effective permittivity of the structure goes to zero the scattering efficiency would be negligible. This result approves the previous predictions. It is also found out that the scattering cancellation depends on the relative permittivity of the environmental medium for the cylinder. The finite element simulations are also confirmed the results.