Perfectly Matched Layer (PML) for Computational Electromagnetics

Bérenger, Jean-Pierre

doi:10.2200/s00030ed1v01y200605cem008

Cited by 167 publications

(144 citation statements)

References 78 publications

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“…The beam is focused to the nearest end face of the optical fiber, and the waist diameter is Ω 0 = 3.3λ. The computational domain boundaries were subjected to non-reflecting boundary conditions implemented with the use of the uniaxial perfectly matched layer (UPML) method [8]. All computational domain is surrounded by a layer 10 cells thick; inside this layer, the conductivity and "magnetic conductivity of the fictitious anisotropic continuous medium increase in proportion to the distance from the computational domain boundary.…”

Section: -2mentioning

confidence: 99%

Numerical simulation of laser beam interaction with a liquid crystal medium in a miniature fiber-optical system

Galev

Kudryavtsev

Trashkeev

2017

AIP Conference Proceedings

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Abstract. Laser beam propagation through an integrated fiber-optical system including a miniature cavity filled with a liquid crystal (LC) is numerically simulated. Two different shapes of the cavity are considered: a transverse cylindrical hole and a gap between the parallel end faces of the optical fiber. In both cases, the director field distribution in the LC volume includes a linear singularity (disclination). The Maxwell equations for an anisotropic continuous medium are solved by the FDTD method. Nonlinear effects of beam interaction with the LC medium are ignored. The simulations provide the data on the intensity distribution and direction of the laser beam that passed through the microscopic LC volume. The portions of laser radiation lost due to scattering into the ambient medium and remaining inside the optical fiber are calculated. Based on the calculations, it may be concluded that a significant fraction of the beam energy in the case with the cavity shaped as a transverse hole is scattered owing to focusing and diffraction induced by surface curvature and the finite transverse size of the hole. Moreover, there are regions with elevated energy density in the optical fiber behind the hole, which may lead to fiber fracture under the ultimate load possible in the pulsed mode. In contrast to the system with a hole, the deflection of beam propagation from a straight line in the fiber-optical system with a gap is fairly small. It is noted that beam-LC interaction can lead to the emergence of new fiber-optical modes in the transmitted beam.

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Section: -2mentioning

confidence: 99%

Numerical simulation of laser beam interaction with a liquid crystal medium in a miniature fiber-optical system

Galev

Kudryavtsev

Trashkeev

2017

AIP Conference Proceedings

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“…The boundary conditions are as follows: For top and bottom surfaces, we use absorbing boundary conditions with perfectly matched layers (PML), 16 and for the sides, we apply periodic boundary conditions. The approach we adopt to solve time-harmonic Maxwell's equations given in Eq.…”

Section: Model and Approachmentioning

confidence: 99%

Numerical simulation of light propagation in silver nanowire films using time-harmonic inverse iterative method

Yan

Krantz

Forberich

et al. 2013

Journal of Applied Physics

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The interaction between light and silver nanowires (Ag NWs) in a thin film is simulated by solving Maxwell's equations numerically. Time-harmonic inverse iterative method is implemented to overcome the problem of negative permittivity of silver, which makes the classical finite-difference time-domain iteration unstable. The method is validated by showing the correspondence between the plasmonic resonance of an Ag NW from a two dimensional simulation and the analytical solution. In agreement with previous experimental studies, the simulation results show that the transmissivity of the Ag NW films is higher than expected from the geometric aperture. The cause of this phenomenon is studied using TE/TM modes analysis for Ag NW films with different surface coverage of parallel-aligned Ag NWs. Furthermore, 3D simulation of Ag NW films with randomly arranged Ag NWs is performed by parallel computation on high performance computers. A binder layer is taken into account for a preliminary comparison between the simulation and experimental results. The agreements and disagreements between the simulated and measured spectra are discussed. V C 2013 AIP Publishing LLC [http://dx

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“…At left is a 2D grid to model scattering from a finite device. It is surrounded by a perfectly matched layer (PML) on all four sides to absorb outgoing waves in all directions [8][9][10][11]. The TF/SF method is used to inject a source and to minimize energy incident on the absorbing boundaries by removing the source in those regions.…”

Section: Formulation Of the Standard Finite-difference Frequency-domamentioning

confidence: 99%

Simple Implementation of Arbitrarily Shaped Total-Field/Scattered-Field Regions in Finite-Difference Frequency-Domain

Rumpf¹

2012

PIER B

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Abstract-The total-field/scattered-field (TF/SF) formulation is a popular technique for incorporating sources into electromagnetic models like the finite-difference frequency-domain (FDFD) method. It is versatile and simplifies calculation of waves scattered from a device. In the context of FDFD, the TF/SF formulation involves modifying all of the finite-difference equations that contain field terms from both the TF and SF regions in order to make the terms compatible. While simple in concept, modifying all of the equations for arbitrarily shaped TF/SF regions is tedious and no solution has been offered in the literature to do it in a straightforward manner. This paper presents a simple and efficient technique for implementing the TF/SF formulation that allows the TF/SF regions to be any shape and of arbitrary complexity. Its simplicity and versatility are demonstrated by giving several practical examples including a diffraction grating, a waveguide problem, and a scattering problem with a cylindrical wave source.

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Perfectly Matched Layer (PML) for Computational Electromagnetics

Cited by 167 publications

References 78 publications

Numerical simulation of laser beam interaction with a liquid crystal medium in a miniature fiber-optical system

Numerical simulation of laser beam interaction with a liquid crystal medium in a miniature fiber-optical system

Numerical simulation of light propagation in silver nanowire films using time-harmonic inverse iterative method

Simple Implementation of Arbitrarily Shaped Total-Field/Scattered-Field Regions in Finite-Difference Frequency-Domain

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