Elliptic Cylindrical Invisibility Cloak, a Semianalytical Approach Using Mathieu Functions

TL;DR

This paper introduces a semi-analytical method using Mathieu functions to analyze elliptic cylindrical invisibility cloaks, offering a more practical design approach based on spatial transformation.

Contribution

It develops a Mathieu function-based wave expansion method for elliptic cylindrical cloaks, improving practicality over previous designs.

Findings

The method accurately models scattering fields.

The cloak design is more practical and feasible.

It advances the analytical tools for elliptic cloaks.

Abstract

An elliptic cylindrical wave expansion method by using Mathieu functions is developed to obtain the scattering field for a two-dimensional elliptic cylindrical invisibility cloak. The cloak material parameters are obtained from the spatial transformation approach. A near-ideal model of the invisibility cloak is set up to solve the boundary problem at the inner boundary in the cloak shell. The proposed design provides a more practical cloak geometry when compared to previous designs of elliptic cylindrical cloaks.