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Analytical engineering of index maps for the design of all-dielectric metametarials

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Abstract

An analytical method is proposed for the design of all-dielectric metamaterials at optical frequencies as an alternative to the formalism of transformation optics. It is applied to the design of broadband weakly-open in-plane light trajectories like logarithmic spirals in the silicon on insulator photonics technology which could be hardly described by the use of coordinate transforms.

© 2012 Optical Society of America

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