Tomáš Tyc and Ulf Leonhardt 2008 New J. Phys. 10 115038 doi:10.1088/1367-2630/10/11/115038
Transmutation of singularities in optical instruments
Focus on Cloaking and Transformation OpticsTomáš Tyc1,2 and Ulf Leonhardt2,3
Show affiliationsPart of Focus on Cloaking and Transformation Optics
We propose a method for eliminating a class of singularities in optical media where the refractive index goes to zero or infinity at one or more isolated points. Employing transformation optics, we find a refractive index distribution equivalent to the original one that is nonsingular but shows a slight anisotropy. In this way, the original singularity is 'transmuted' into another, weaker type of singularity where the permittivity and permeability tensors are discontinuous at one point. The method is likely to find applications in designing and improving optical devices by making them easier to implement or to operate in a broad band of the spectrum.
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Issue 11 (November 2008)
Received 23 September 2008
Published 27 November 2008
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Transmutation of singularities in optical instruments
Tomáš Tyc and Ulf Leonhardt 2008 New J. Phys. 10 115038
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