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Ideal Cylindrical Cloak: Perfect but Sensitive to Tiny Perturbations

by: Zhichao Ruan, Min Yan, Curtis W Neff, Min Qiu
Physical Review Letters, Vol. 99, No. 11. (2007)


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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, because of the slow convergence of the zeroth-order scattering coefficients, a tiny perturbation on the cloak would induce a noticeable field scattering and penetration.


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