Reformulation of the eigenvalue problem in the Fourier modal method with spatial adaptive resolution

Guizal, Brahim; Yala, H.; Felbacq, Didier

doi:10.1364/ol.34.002790

Cited by 30 publications

(12 citation statements)

References 10 publications

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“…The results obtained with the FMM have been verified by means of an independent numerical code, in which a modification to the FMM known as Adaptive Spatial Resolution (ASR) has been implemented. This technique, originally introduced to improve the convergence of the method and to overcome the instabilities observed in particular in the case of metallic gratings [52,53], has been recently employed to calculate the radiative heat transfer between two gold gratings [54]. For the physical system studied in this work, it has given results in agreement (within the numerical precision) with the ones of the FMM.…”

Section: Resultsmentioning

confidence: 91%

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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Section: Resultsmentioning

confidence: 91%

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

et al. 2020

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“…More recently, the description of gold permittivities by means of critical points model 9,10 was proved to be efficient for the modeling of spectroscopy with FDTD methods, 11 finite element method, 12 and discrete dipole approximation. 13 Fitting of the optical constants is also useful if eigenvalues of complex structures are computed 14,15 or if resonances are searched in dispersion curves. 16,17 For the design and the optimization of nanostructures, 18 the accuracy of numerical results depends on the quality of the fitting of the relative permittivities.…”

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confidence: 99%

Fitting the optical constants of gold, silver, chromium, titanium, and aluminum in the visible bandwidth

2014

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The fitting of metal optical properties is a topic that has applications in advanced simulations of spectroscopy, plasmonics, and optical engineering. In particular, the finite difference time domain method (FDTD) requires an analytical model of dispersion that verifies specific conditions to produce a full spectrum in a single run. Combination of Drude and Lorentz models, and Drude and critical points models, are known to be efficient, but the number of parameters to be adjusted for fitting data can prevent accurate results from simulated annealing or Nelder-Mead. The complex number relative permittivities of Au, Ag, Al, Cr, and Ti from either Palik or Johnson and Christy experimental data in the visible domain of wavelengths are successfully fitted by using the result of the particle swarm optimization method with FDTD constraint, as a starting point for the Nelder-Mead method. The results are well positioned compared to those that can be found in the literature. The results can be used directly for numerical simulations in the visible domain. The method can be applied to other materials, such as dielectrics, and to other domain of wavelengths. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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“…All we can Finally, we test the stability of our approach over a grating configuration that posed numerical problems to the FMM [13] and for which solutions have been proposed by some authors [14,15]. It consists of a grating with a relative dielectric permittivity equal to −100 and all the other parameters are given in Figure 4.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%