A Photonic Crystal Slab Laplace Differentiator
Cheng Guo, Meng Xiao, Momchil Minkov, Yu Shi, Shanhui Fan
TL;DR
This paper presents a novel photonic crystal slab device that functions as a Laplace differentiator in transmission mode, enabling optical analog computing for image processing through isotropic guided resonances.
Contribution
It introduces a new implementation of a Laplace differentiator using photonic crystal slabs with isotropic band structures near the $b3$ point.
Findings
Device operates at transmission mode.
Guided resonances exhibit isotropic band structure.
Potential for nanophotonics-based optical computing.
Abstract
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 point exhibit an isotropic band structure. Such a device may facilitate nanophotonics-based optical analog computing for image processing.
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