Abstract:Abstract-In this paper, we describe two parallel MRTD algorithms. Both algorithms are proved to be feasible by comparing the result of the serial MRTD method, the efficiency of them are also compared in order to evaluate a better strategy. Moreover, a novel implementation of "complex frequency-shifted" perfect matched layer (CFS-PML) with auxiliary differential equation (ADE) is presented for the MRTD method. The implementation is easier to obtain and more memory saving when treating more generalized media, an… Show more
“…The main advantage of the ADE-PML is that its implementation is completely independent of the ambient medium and high absorption performance can be achieved without increasing the memory consumption. Similar to CPML, the ADE-PML can be derived from modified Maxwell's equations in the frequency domain [37] jωε𝐸…”
Section: Design Of the Ade-pml Absorption Boundary Conditionmentioning
confidence: 99%
“…, and κ i ≥ 1); [37] the setting of these parameters is similar to that of the FDTD scheme, and the reader can refer to the literature [4,35] for details. Considering the similarity of derivations for the different field components, here we only take E x as an example to present the implementation of the ADE-PML.…”
Section: Design Of the Ade-pml Absorption Boundary Conditionmentioning
To improve the modeling accuracy of radiative transfer, the scattering properties of aerosol particles with irregular shapes and inhomogeneous compositions should be simulated accurately. To this end, a light-scattering model for nonspherical particles is established based on the pseudo-spectral time domain (PSTD) technique. In this model, the perfectly matched layer with auxiliary differential equation (ADE-PML), an excellent absorption boundary condition (ABC) in the finite difference time domain generalized for the PSTD, and the weighted total field/scattered field (TF/SF) technique is employed to introduce the incident light into 3D computational domain. To improve computational efficiency, the model is further parallelized using the OpenMP technique. The modeling accuracy of the PSTD scheme is validated against Lorenz-Mie, Aden-Kerker, T -matrix theory and DDA for spheres, inhomogeneous particles and nonspherical particles, and the influence of the spatial resolution and thickness of ADE-PML on the modeling accuracy is discussed as well. Finally, the parallel computational efficiency of the model is also analyzed. The results show that an excellent agreement is achieved between the results of PSTD and well-tested scattering models, where the simulation errors of extinction efficiencies are generally smaller than 1%, indicating the high accuracy of our model. Despite its low spatial resolution, reliable modeling precision can still be achieved by using the PSTD technique, especially for large particles. To suppress the electromagnetic wave reflected by the absorption layers, a six-layer ADE-PML should be set in the computational domain at least.
“…The main advantage of the ADE-PML is that its implementation is completely independent of the ambient medium and high absorption performance can be achieved without increasing the memory consumption. Similar to CPML, the ADE-PML can be derived from modified Maxwell's equations in the frequency domain [37] jωε𝐸…”
Section: Design Of the Ade-pml Absorption Boundary Conditionmentioning
confidence: 99%
“…, and κ i ≥ 1); [37] the setting of these parameters is similar to that of the FDTD scheme, and the reader can refer to the literature [4,35] for details. Considering the similarity of derivations for the different field components, here we only take E x as an example to present the implementation of the ADE-PML.…”
Section: Design Of the Ade-pml Absorption Boundary Conditionmentioning
To improve the modeling accuracy of radiative transfer, the scattering properties of aerosol particles with irregular shapes and inhomogeneous compositions should be simulated accurately. To this end, a light-scattering model for nonspherical particles is established based on the pseudo-spectral time domain (PSTD) technique. In this model, the perfectly matched layer with auxiliary differential equation (ADE-PML), an excellent absorption boundary condition (ABC) in the finite difference time domain generalized for the PSTD, and the weighted total field/scattered field (TF/SF) technique is employed to introduce the incident light into 3D computational domain. To improve computational efficiency, the model is further parallelized using the OpenMP technique. The modeling accuracy of the PSTD scheme is validated against Lorenz-Mie, Aden-Kerker, T -matrix theory and DDA for spheres, inhomogeneous particles and nonspherical particles, and the influence of the spatial resolution and thickness of ADE-PML on the modeling accuracy is discussed as well. Finally, the parallel computational efficiency of the model is also analyzed. The results show that an excellent agreement is achieved between the results of PSTD and well-tested scattering models, where the simulation errors of extinction efficiencies are generally smaller than 1%, indicating the high accuracy of our model. Despite its low spatial resolution, reliable modeling precision can still be achieved by using the PSTD technique, especially for large particles. To suppress the electromagnetic wave reflected by the absorption layers, a six-layer ADE-PML should be set in the computational domain at least.
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