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The cylindrical cloak created with nonlinear transformation is studied based on the analytical scattering theory. The equivalent surface displacement current at the inner boundary of an ideal cloak is shown to be independent of the transformation function. For the nonideal cloak with perturbation at the inner boundary, we show that the performance of the cloak with low loss can be greatly improved by using certain nonlinear transformations.
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Xi et al. (2008) studied this question.
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