Calculating Casimir interactions for periodic surface-relief gratings using the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>C</mml:mi></mml:math>method

Wagner, Jef; Zandi, Roya

doi:10.1103/physreva.90.012516

Cited by 3 publications

(2 citation statements)

References 39 publications

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“…In the spirit of a manipulation thourgh geometrical properties, structured surfaces have been the topic of many theoretical investigations. More specifically, by considering both 1D and 2D periodic gratings, both the radiative heat transfer [30][31][32][33][34][35][36][37] and the Casimir force at and out of thermal equilibrium [38][39][40][41][42][43][44][45][46][47] have been studied by employing a variety of theoretical approaches. It has been shown that gratings represent indeed a tool to modify, both by reducing and amplifying, radiative heat transfer, as well as to influence its spectral properties.…”

Section: Introductionmentioning

confidence: 99%

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

et al. 2017

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We calculate the radiative heat transfer between two identical metallic one-dimensional lamellar gratings. To this aim we present and exploit a modification to the widely-used Fourier modal method, known as adaptive spatial resolution, based on a stretch of the coordinate associated to the periodicity of the grating. We first show that this technique dramatically improves the rate of convergence when calculating the heat flux, allowing to explore smaller separations. We then present a study of heat flux as a function of the grating height, highlighting a remarkable amplification of the exchanged energy, ascribed to the appearance of spoof-plasmon modes, whose behavior is also spectrally investigated. Differently from previous works, our method allows us to explore a range of grating heights extending over several orders of magnitude. By comparing our results to recent studies we find a consistent quantitative disagreement with some previously obtained results going up to 50%. In some cases, this disagreement is explained in terms of an incorrect connection between the reflection operators of the two gratings.

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Section: Introductionmentioning

confidence: 99%

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

et al. 2017

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“…One particularly appealing application is to the case of periodic gratings, where both lateral and perpendicular forces can be measured [1][2][3][4][5]. On the theoretical side, one can use Rayleigh expansion methods for rectangular [6] and lamellar [7][8][9] gratings, C methods [10], and perturbative methods [11][12][13] to calculate Casimir interaction energies of periodic dielectrics or conductors. These approaches are often limited in their ability to handle deep corrugations [14][15][16][17][18][19][20] (for perfectly conducting rectangular corrugations, one can obtain exact results using path integral techniques [21,22]).…”

Section: Introductionmentioning

confidence: 99%

Casimir energies of periodic dielectric gratings

Graham

2014

Phys. Rev. A

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Reflection of electromagnetic waves from a periodic grating can be described in terms of a discrete coupled multichannel scattering problem. By modeling the grating as a space-and frequencydependent dielectric, it is possible to use a variable phase method, applied to a generalized Helmholtz equation incorporating both transverse and longitudinal modes, to efficiently compute the scattering S-matrix. The projection onto transverse modes of this result, evaluated for imaginary wave vector, provides the information necessary for a Casimir energy calculation. This approach is of particular interest for gratings with deep corrugations, which can limit the applicability of techniques based on the Rayleigh expansion. We demonstrate the method by calculating the Casimir interaction energy between sinusoidal grating profiles as a function of separation and lateral displacement.

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Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

et al. 2020

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We study the Casimir torque between two metallic one-dimensional gratings rotated by an angle θ with respect to each other. We find that, for infinitely extended gratings, the Casimir energy is anomalously discontinuous at θ = 0, due to a critical zero-order geometric transition between a 2Dand a 1D-periodic system. This transition is a peculiarity of the grating geometry and does not exist for intrinsically anisotropic materials. As a remarkable practical consequence, for finite-size gratings, the torque per area can reach extremely large values, increasing without bounds with the size of the system. We show that for finite gratings with only 10 period repetitions, the maximum torque is already 60 times larger than the one predicted in the case of infinite gratings. These findings pave the way to the design of a contactless quantum vacuum torsional spring, with possible relevance to micro-and nano-mechanical devices.

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Calculating Casimir interactions for periodic surface-relief gratings using theCmethod

Cited by 3 publications

References 39 publications

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

Casimir energies of periodic dielectric gratings

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

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