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arXiv · 0704.1183

Confirmation of Cylindrical Perfect Invisibility Cloak Using Fourier-Bessel Analysis

Zhichao Ruan·Min Yan·Curtis W. Neff·Min Qiu
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Abstract

A cylindrical wave expansion method is developed to obtain the scattering field for an ideal two-dimensional cylindrical invisibility cloak. A near-ideal model of the invisibility cloak is set up to solve the boundary problem at the inner boundary of the cloak shell. We confirm that a cloak with the ideal material parameters is a perfect invisibility cloak by systematically studying the change of the scattering coefficients from the near-ideal case to the ideal one. However, due to the slow convergence of the zero$^{th}$ order scattering coefficients, a tiny perturbation on the cloak would induce a noticeable field scattering and penetration.

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Zhichao Ruan, Min Yan, Curtis W. Neff, Min Qiu. 2007-07-02. Confirmation of Cylindrical Perfect Invisibility Cloak Using Fourier-Bessel Analysis. https://doi.org/10.1103/physrevlett.99.113903

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