A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings

Rivas, Cinthya; Rodrı́guez, Rodolfo; Solano, Manuel

doi:10.1016/j.wavemoti.2018.01.004

Cited by 7 publications

(2 citation statements)

References 23 publications

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“…Specifically, we use NGSolve [18] to implement a forward scattering code to generate synthetic scattering data to be collected at the receivers located on a cross-section of the waveguide below the scatterer. In particular we used quadratic edge finite elements to approximate E s on a finite section of the waveguide, and terminate this section at both ends using the non-standard Perfectly Matched Layer (PML) proposed in [17] (with the parameters used there). This PML is singular and accounts for both traveling and evanescent components of the solution.…”

Section: Numerical Resultsmentioning

confidence: 99%

Near-field linear sampling method for an inverse problem in an electromagnetic waveguide

2019

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We consider the problem of determining the shape and location of an unknown penetrable object in a perfectly conducting electromagnetic waveguide. The inverse problem is posed in the frequency domain and uses multistatic data in the near field. In particular, we assume that we are given measurements of the electric scattered field due to point sources on a cross-section of the waveguide and measured on the same cross-section, which is away from the scatterer but not in the far field.The problem is solved by using the Linear Sampling Method (LSM) and we also discuss the generalized LSM. We start by giving a brief discussion of the direct problem and its associated interior transmission problem. Then, we adapt and analyze the LSM to deal with the inverse problem. This extends the work on the LSM for perfectly conducting scatterers in a waveguide by one of us (Yang) to the detection of penetrable objects. We provide several useful results concerning reciprocity and the density of fields due to single layer potentials. We also prove the standard results for the LSM in the waveguide context. Finally we give numerical results to show the performance of the method for simple shapes.

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Section: Numerical Resultsmentioning

confidence: 99%

Near-field linear sampling method for an inverse problem in an electromagnetic waveguide

2019

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“…In recent years, PML has been extended to applications in wider range [28][29][30] including CAA, and considerable improvements were made to promote the computational efficiency. 31,32 In this paper, an improved split-PML developed by Komasitsch and Tromp 33 is applied. In Ref.…”

Section: Boundary Conditionsmentioning

confidence: 99%

An accurate triangular spectral element method-based numerical simulation for acoustic problems in complex geometries

Qin

Wang

2020

International Journal of Aeroacoustics

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An accurate triangular spectral element method (TSEM) is developed to simulate acoustic problems in complex computational domains. With Fekete points and Koornwinder-Dubiner polynomials introduced, triangular elements are used in the present method to substitute quadrilateral elements in traditional spectral element method (SEM). The efficiency of discretizing complex geometry is enhanced while high accuracy of SEM is remained. The weak form of the second-order governing equations derived from the linearized Euler equations (LEEs) are solved, and perfectly matched layer (PML) boundary condition is implemented. Three benchmark problems with analytical solutions are employed to testify the exponential convergence rate, convenient implementation of solid wall boundary condition and capable discretization in complex geometries of the present method respectively. An application on Helmholtz resonator (HR) is presented as well to demonstrate the possibility of using the present method in practical engineering. The numerical resonance frequency of HR reaches an excellent agreement with the theoretical result.

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Short-circuit current density and fill factor improvement by optimizing In2O3:H and metal back reflector layers for p-i-n a-SiGe:H thin film solar cells

Sun

Liu

Hwang

2019

J Mater Sci: Mater Electron

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A perfectly matched layer for finite-element calculations of diffraction by metallic surface-relief gratings

Cited by 7 publications

References 23 publications

Near-field linear sampling method for an inverse problem in an electromagnetic waveguide

Near-field linear sampling method for an inverse problem in an electromagnetic waveguide

An accurate triangular spectral element method-based numerical simulation for acoustic problems in complex geometries

Short-circuit current density and fill factor improvement by optimizing In2O3:H and metal back reflector layers for p-i-n a-SiGe:H thin film solar cells

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