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Revolution analysis of three-dimensional arbitrary cloaks

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arxiv 0911.2582 v1 pith:O7EHSHRY submitted 2009-11-13 physics.optics math-phmath.MPphysics.comp-ph

Revolution analysis of three-dimensional arbitrary cloaks

Guillaume Dupont , S\'ebastien Guenneau , Stefan Enoch , Guillaume Dem\'esy , Andre Nicolet , Fr\'ed\'eric Zolla , Andre Diatta This is my paper
classification physics.optics math-phmath.MPphysics.comp-ph
keywords cloaksrevolutionthree-dimensionaltransformationanalysisapproacharbitraryboundary
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We extend the design of radially symmetric three-dimensional invisibility cloaks through transformation optics to cloaks with a surface of revolution. We derive the expression of the transformation matrix and show that one of its eigenvalues vanishes on the inner boundary of the cloaks, while the other two remain strictly positive and bounded. The validity of our approach is confirmed by finite edge-elements computations for a non-convex cloak of varying thickness.

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