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A Photonic Crystal Slab Laplace Differentiator

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arxiv 1711.06337 v1 pith:52CXPOIN submitted 2017-11-16 physics.optics

A Photonic Crystal Slab Laplace Differentiator

classification physics.optics
keywords differentiatorlaplacecrystalphotonicslabanalogbandcomputing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce an implementation of a Laplace differentiator based on a photonic crystal slab that operates at transmission mode. We show that the Laplace differentiator can be implemented provided that the guided resonances near the $\Gamma$ point exhibit an isotropic band structure. Such a device may facilitate nanophotonics-based optical analog computing for image processing.

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