Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers

Kuzuoğlu, Mustafa; Mittra, R.

doi:10.1109/75.544545

Cited by 488 publications

(262 citation statements)

References 8 publications

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“…Other more involved functional dependencies of s x in terms of ω are also possible [15], but we do not consider those here. Assuming the absorber is located in the half-space x > 0, this is equivalent-from a transformation optics viewpoint-to a complexification of the spatial metric via [6] …”

Section: Metamaterials Blueprints For Reflectionless Absorbersmentioning

confidence: 99%

Impedance-matched absorbers and optical pseudo black holes

2011

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We investigate the design of metamaterial blueprints for impedance-matched (reflectionless) absorbers over nonplanar surfaces in connection with optical pseudo black holes. The presence of some fundamental constraints on the existence of reflectionless absorber media at nonplanar surfaces are discussed based on analytical properties of the associated constitutive tensors on the complex ω (angular frequency) plane. In view of such constraints, some new metamaterial blueprints of near-reflectionless absorbers are suggested for integration into optical pseudo black hole devices.

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Section: Metamaterials Blueprints For Reflectionless Absorbersmentioning

confidence: 99%

Impedance-matched absorbers and optical pseudo black holes

2011

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“…Festa and Vilotte [2005] have shown that, when B(x) = x, w c acts as a cut-off frequency, with an efficient absorption for w > w c . On the other hand, Kuzuoglu and Mittra [1996] proved in electromagnetics that causality is preserved when dB dx > 1, for any positive w c and dS dx . This result can be extended to elastodynamics, almost as far as the near-field P-S coupling can be neglected.…”

Section: Generalized Filtering Pml (Gfpml)mentioning

confidence: 99%

Interaction between surface waves and absorbing boundaries for wave propagation in geological basins: 2D numerical simulations

Festa

2005

Geophysical Research Letters

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[1] Surface waves control the peak of the seismic records at regional and teleseismic distances. In complex structures, such as basins, their amplitude is produced by the interference between the topography and the wedges of the model. Therefore, they represent a challenging target for numerical simulations. When modelling low frequencies in thin media, such as basins and waveguides, some instabilities arise from the interaction between propagating evanescent waves and the artificial layer, required to avoid spurious reflection to be sent back into the elastic volume. Here we propose to generalize the absorbing boundary conditions, by adding a cut-off frequency and an overdamping. The efficiency is demonstrated through a comparison with analytical solutions. Finally an analysis is performed by adopting a complex basin geometry, where we show that the pollution of classical absorbing conditions becomes significant near the edges of the model. Citation: Festa, G., E. Delavaud, and J.-P. Vilotte (2005), Interaction between surface waves and absorbing boundaries for wave propagation in geological basins: 2D numerical simulations,

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“…In the complex stretched coordinate approach (Chew & Weedon 1994;Kuzuoglu & Mittra 1996), the governing equation using CFS-PML can be rewritten as…”

Section: Implementation Of Cfs-pmlmentioning

confidence: 99%

“…The complex frequency stretched (CFS) PML, as introduced in Kuzuoglu & Mittra (1996), Roden & Gedney (2000) and Pan et al (2012), is one of a number of approaches that are suitable to mimic the reflection-free boundaries at the outermost surface of the interior domain. Table 1.…”

Section: Implementation Of Cfs-pmlmentioning

confidence: 99%

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Application of the perfectly matched layer in 3-D marine controlled-source electromagnetic modelling

Han

et al. 2017

Geophysical Journal International

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SUMMARYIn this study, the complex frequency-shifted perfectly matched layer (CFS-PML) in stretching Cartesian coordinates, is successfully applied to three-dimensional (3D) frequency-domain marine controlled-source electromagnetic (CSEM) field modelling.The Dirichlet boundary, which is usually used within the traditional framework of EM modeling algorithms, assumes the electric or magnetic field values are zero at the boundaries. This requires the boundaries be sufficiently far away from the sources in the area of interest. To mitigate the boundary artifacts, a large modelling area may be necessary even though cell sizes are allowed to grow toward the boundaries due to the diffusion of the electromagnetic wave propagation. Compared with the conventional Dirichlet boundary, the PML boundary is preferred as the modelling area of interest could be restricted to the target region and only a few absorbing layers surrounding can effectively depress the artificial boundary effect without losing the numerical accuracy. Furthermore, for joint inversion of seismic and marine CSEM data, if we used the PML for CSEM field simulation instead of the conventional Dirichlet, the modeling area for these two different geophysical data collected from the same survey area could the same, which is convenient for joint inversion grid Downloaded from https://academic.oup.com/gji/article-abstract/doi/10.1093/gji/ggx382/4157794/Application-of-the-perfectly-matched-layer-in-3D by GEOMAR Bibliothek Helmholtz-Zentrum fuer Ozeanforschung user on 22 September 2017 2 G. Li and B. Li matching. We apply the CFS-PML boundary to 3D marine CSEM modelling by using the staggered finite-difference (SFD) discretization. Numerical test indicates that the modeling algorithm using the CFS-PML also shows good accuracy compared to the Dirichlet. Furthermore, the modeling algorithm using the CFS-PML shows advantages in computational time and memory saving than that using the Dirichlet boundary. For the 3D example in this study, the memory saving using the PML is nearly 42 % and the time saving is around 48% compared to using the Dirichlet.

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Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers

Cited by 488 publications

References 8 publications

Impedance-matched absorbers and optical pseudo black holes

Impedance-matched absorbers and optical pseudo black holes

Interaction between surface waves and absorbing boundaries for wave propagation in geological basins: 2D numerical simulations

Application of the perfectly matched layer in 3-D marine controlled-source electromagnetic modelling

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