Subpixel smoothing for conductive and dispersive media in the finite-difference time-domain method

Deinega, Alexei; Valuev, Ilya

doi:10.1364/ol.32.003429

Cited by 54 publications

(40 citation statements)

References 12 publications

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“…In cases of poor convergence, special FDTD techniques, for example subpixel smoothing for interfaces or additional PML layers may be required. Convergence and accuracy of FDTD calculations based on EMTL have been demonstrated in our previous papers [33, [35][36][37]. In particular, we considered a general case of an obliquely incident plane wave on a metallic opal PC [36], and demonstrated an excellent agreement of the FDTD results with the results obtained by the multiple scattering formalism [38,39].…”

Section: Pc Emissivity Calculation Methodssupporting

confidence: 55%

Using metallic photonic crystals as visible light sources

et al. 2012

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In this paper we study numerically and experimentally the possibility of using metallic photonic crystals (PCs) of different geometries (log-piles, direct and inverse opals) as visible light sources. It is found that by tuning geometrical parameters of a direct opal PC one can achieve substantial reduction of the emissivity in the infrared along with its increase in the visible. We take into account disorder of the PC elements in their sizes and positions, and get quantitative agreement between the numerical and experimental results. We analyze the influence of known temperature-resistant refractory host materials necessary for fixing the PC elements, and find that PC effects become completely destroyed at high temperatures due to the host absorption. Therefore, creating PCbased visible light sources requires that low-absorbing refractory materials for embedding medium be found.

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Section: Pc Emissivity Calculation Methodssupporting

confidence: 55%

Using metallic photonic crystals as visible light sources

et al. 2012

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“…For example, the neighbour of an element in the TF region stores E scat , and not E tot as would be needed. Fortunately, we can use relation (22) to obtain ΔE t (r; t) = E + s (r; t) E t (r; t) + E i (r; t) ; ΔE s (r; t) = E + t (r; t) E s (r; t) E i (r; t) : (23) Similar statements hold for the differences of the magnetic field. To include TF/SF sources in an existing code, we do not have to distinguish between total fields and scattered fields or even implement independent discretisations of Maxwell's equations in both regions.…”

Section: Laser and Photonics Reviewsmentioning

confidence: 79%

“…As soon as material interfaces are present, the accuracy is reduced from second to first order because the electromagnetic fields are no longer smooth. Despite various efforts [21][22][23], it remains extremely challenging to improve the spatial accuracy beyond the limits of the basic algorithm.…”

Section: Common Simulation Methodsmentioning

confidence: 99%

Discontinuous Galerkin methods in nanophotonics

Busch

König

Niegemann

2011

Laser & Photonics Reviews

145

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Nanophotonic systems facilitate a far-reaching control over the propagation of light and its interaction with matter. In view of the increasing sophistication of fabrication methods and characterisation tools, quantitative computational approaches are thus faced with a number of challenges. This includes dealing with the strong optical response of individual nanostructures and the multi-scattering processes associated with arrays of such elements. Both of these aspects may lead to significant modifications of light-matter interactions. This article reviews the state of the recently developed discontinuous Galerkin finite element method for the efficient numerical treatment of nanophotonic systems. This approach combines the accurate and flexible spatial discretisation of classical finite elements with efficient time stepping capabilities. The underlying principles of the discontinuous Galerkin technique and its application to the simulation of complex nanophotonic structures are described in detail. In addition, formulations for both time-and frequency-domain solvers are provided and specific advantages and limitations of the technique are discussed. The potential of the discontinuous Galerkin approach is illustrated by modelling and simulating several experimentally relevant systems.

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“…The total field/scattered field method [1] is used to generate a test plane wave impulse impinging a silicon sphere of radius R 150 nm. To reduce the error caused by the staircasing effect on rectangular FDTD mesh, subpixel smoothing for dielectric permittivity is used at the sphere borders [18]. The scattered field is measured by detectors that form a closed surface surrounding sphere.…”

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confidence: 99%

Effective optical response of silicon to sunlight in the finite-difference time-domain method

Deinega

John

2011

Opt. Lett.

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The frequency dependent dielectric permittivity of dispersive materials is commonly modeled as a rational polynomial based on multiple Debye, Drude, or Lorentz terms in the finite-difference time-domain (FDTD) method. We identify a simple effective model in which dielectric polarization depends both on the electric field and its first time derivative. This enables nearly exact FDTD simulation of light propagation and absorption in silicon in the spectral range of 300-1000 nm. where ε ∞ is permitivitty at infinite frequency, and a p;j , b p;j are real fitting coefficients that do not necessarily have a physical meaning. There are recent reports on successful application of the critical point model (with a p;1 ≠ 0) for the description of the dielectric function of gold [6,7], silver [7,8], aluminum, and chromium [7] in the wide wavelength range. This model was implemented in FDTD with the help of the recursive convolution (RC) technique [9]. Dispersion profiles of complex materials cannot always be fitted using a small number, P, of terms in (1). Alternately, one can divide the required wavelength range into subranges for separate fittings in each subrange. In this case, multiple FDTD simulations should be performed, followed by merging of the separate results. This makes simulation cumbersome and inefficient.In traditional fitting, each dielectric susceptibility term (2) consists of either a single imaginary pole (Debye model), two complex poles (Lorentz model), or an imaginary pole plus pole at zero (Drude model) in the complex ω-plane. More flexible fitting (some of which is captured in the critical point model [5]

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Subpixel smoothing for conductive and dispersive media in the finite-difference time-domain method

Cited by 54 publications

References 12 publications

Using metallic photonic crystals as visible light sources

Using metallic photonic crystals as visible light sources

Discontinuous Galerkin methods in nanophotonics

Effective optical response of silicon to sunlight in the finite-difference time-domain method

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