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Cloaking and anamorphism for light and mass diffusion

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submitted on 2024-09-23, 07:05 and posted on 2024-09-23, 07:07 authored by Sébastien Guenneau, André Diatta, Tania M Puvirajesinghe, Mohamed Farhat

We first review classical results on cloaking and mirage effects for electromagnetic waves. We then show that transformation optics allows the masking of objects or produces mirages in diffusive regimes. In order to achieve this, we consider the equation for diffusive photon density in transformed coordinates, which is valid for diffusive light in scattering media. More precisely, generalizing transformations for star domains introduced in (Diatta and Guenneau J. Opt. 13 024012) for matter waves, we numerically demonstrate that infinite conducting objects of different shapes scatter diffusive light in exactly the same way. We also propose a design of an external light-diffusion cloak with spatially varying sign-shifting parameters that hides a finite size scatterer outside the cloak. We next analyze non-physical parameters in the transformed Fick's equation derived in (Guenneau and Puvirajesinghe R. Soc. Interface 10 20130106), and propose the use of a non-linear transform that overcomes this problem. We finally investigate other forms of invariant transformed diffusion-like equations in the time domain, and touch upon conformal mappings and non-Euclidean cloaking applied to diffusion processes.

Other Information

Published in: Journal of Optics
License: http://creativecommons.org/licenses/by/3.0/ 
See article on publisher's website: https://dx.doi.org/10.1088/2040-8986/aa7df8

Funding

Qatar National Research Fund (NPRP X-107-1-027), COHERENT ENERGY TRANSFER IN NOVEL EXCITONIC MATERIALS FOR SOLAR ENERGY APPLICATIONS.

History

Language

  • English

Publisher

IOP Publishing

Publication Year

  • 2017

License statement

This Item is licensed under the Creative Commons Attribution 3.0 Unported License.

Institution affiliated with

  • Hamad Bin Khalifa University
  • Qatar Environment and Energy Research Institute - HBKU

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