Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks

Amra, Claude; Petiteau, David; Zerrad, Myriam; Guenneau, Sébastien; Soriano, Gabriel; Gralak, Boris; Bellieud, Michel; Veynante, Denis; Nathalie, Rolland

doi:10.1098/rspa.2015.0143

Cited by 10 publications

(4 citation statements)

References 50 publications

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“…In this article, we choose to rely on an analogy between optical propagation and heat diffusion [15] that allows to reuse algorithms that have been developed for the optical propagation in multilayer systems.…”

Section: Theory Modellingmentioning

confidence: 99%

Photo-induced thermal radiation within multilayers optics

Rouquette

Amra

Zerrad

et al. 2021

Advances in Optical Thin Films VII

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Section: Theory Modellingmentioning

confidence: 99%

Photo-induced thermal radiation within multilayers optics

Rouquette

Amra

Zerrad

et al. 2021

Advances in Optical Thin Films VII

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“…In this respect, let us mention Ref. [28], where interesting connections have been highlighted between heat diffusion on one side and EM field attenuation in a specific class of metals on the other side.…”

Section: Introductionmentioning

confidence: 99%

Multipurpose S-shaped solvable profiles of the refractive index: application to modeling of antireflection layers and quasi-crystals

Krapez¹

2018

J. Opt. Soc. Am. A

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A class of four-parameter solvable profiles of the electromagnetic admittance has recently been discovered by applying the newly developed Property & Field Darboux Transformation method (PROFIDT). These profiles are highly flexible. In addition, the related electromagnetic field solutions are exact, in closed form, and involve only elementary functions. In this paper, we focus on those that are S-shaped, and we provide all of the tools needed for easy implementation. These analytical bricks can be used for high-level modeling of lightwave propagation in photonic devices presenting a piecewise-sigmoidal refractive index profile, such as, for example, antireflection layers, rugate filters, chirped filters, and photonic crystals. For small amplitudes of the index modulation, these elementary profiles are very close to a cosine profile. They can therefore be considered as valuable surrogates for computing the scattering properties of components like Bragg filters and reflectors as well. In this paper we present an application for antireflection layers and another for 1D quasi-crystals (QC). The proposed S-shaped profiles can be easily manipulated for exploring the optical properties of smooth QC, a class of photonic devices that adds to the classical binary-level QC.

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“…In recent years, conformal mapping has been applied to the design of novel steering devices in optics, electrostatics, DC fields, and heat diffusion (e.g. [3,[12][13][14][15][16][17]). Although it is still hard to construct an omnidirectional device from the mapping [18], the material parameters of a conformal device could be isotropic for a wave incoming from a specific direction.…”

Section: Introductionmentioning

confidence: 99%

A mass-independent conformal quantum cloak

Lin

2017

New J. Phys.

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An obstacle to constructing a quantum cloak with the transformation design method for steering a matter wave is the device involving the anisotropic modulation of the particle mass. It is the purpose of this paper to show that a narrow-acceptance-angle quantum cloak generated by a kind of conformal mapping could be mass-independent. This greatly simplifies the construction of the device since it can now be finished only by applying a potential field to a region of the shell. As demonstrations of the conclusion, an elliptical and a parabolic conformal quantum cloak are designed from the elliptical and parabolic coordinate systems. Their performance is inspected by probability currents. It is shown that the conformal devices can serve as novel splitters for a 2D matter wave. Finally, we discuss the difficulty of constructing a steering device from the hyperbolic coordinate system.

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Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks

Cited by 10 publications

References 50 publications

Photo-induced thermal radiation within multilayers optics

Photo-induced thermal radiation within multilayers optics

Multipurpose S-shaped solvable profiles of the refractive index: application to modeling of antireflection layers and quasi-crystals

A mass-independent conformal quantum cloak

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