Application of Convolution Perfectly Matched Layer in MRTD scattering model for non-spherical aerosol particles and its performance analysis

Zhou, Tianjun; Gao, Taichang; Li, Hao; Yang, Bo; Jiang, Zhu-Ming; Liu, Lei; Chen, Ming

doi:10.1016/j.jqsrt.2017.05.032

Cited by 10 publications

(6 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To validate the simulation accuracy of the IIM T-Matrix method for non-rotational symmetric particles (which cannot be effectively simulated by the EBCM T-Matrix method), the results of the IIM T-Matrix method are further compared with that of the MRTD model developed by our team [27,41].…”

Section: Hexagonal Prism Casementioning

confidence: 99%

“…Since the IIM T-Matrix method is derived from the volume integral equation, compared to the T-Matrix method which is based on surface integral principles (i.e., "EBCM" or the "null field method"), it can be applied to the scattering calculations of particle with arbitrary shapes and inhomogeneous compositions, which can greatly expand the application scope of the T-Matrix method. Domain (PSTD) [23][24][25], and Multi-Resolution Time Domain (MRTD) [26,27]. DDA and FDTD can be applied to the light scattering calculation for particles with arbitrary shape; however, due to the limitation of their computational stability and complexity, it is a tough job for them to simulate the light scattering by particles with large sizes [15].…”

mentioning

confidence: 99%

See 1 more Smart Citation

Design and Validation of the Invariant Imbedded T-Matrix Scattering Model for Atmospheric Particles with Arbitrary Shapes

et al. 2019

Self Cite

View full text Add to dashboard Cite

Light scattering by non-spherical particles is an important factor influencing atmospheric radiative transfer. To accurately simulate the scattering properties of non-spherical particles, the Invariant Imbedded T-matrix method (IIM T-Matrix) is developed by combining the Lorenz–Mie theory and invariant imbedding technique. In this model, the non-spherical particle is regarded as an inhomogeneous sphere and discretized into multiple spherical layers in the spherical coordinate system. The T-matrix of the inscribed sphere is firstly calculated by the Lorenz–Mie theory, and then taking it as the initial value, the T-matrix is updated layer by layer by using the invariant imbedding technique. To improve the computational efficiency, the model is further parallelized by the OpenMP technique. To verify the simulation accuracy of the IIM T-Matrix method, the results of the model are compared with those of the EBCM (Extended Boundary Condition Method) T-Matrix method, DDA (Discrete Dipole Approximation) and MRTD (Multi-Resolution Time Domain). The results show that the scattering phase matrix simulated by the IIM T-Matrix method closely agrees with that of the well-tested models, indicating that the IIM T-Matrix method is a powerful tool for the light scattering simulation of non-spherical particles. Since the IIM T-Matrix method is derived from the volume integral equation, compared to the T-Matrix method which is based on surface integral principles (i.e., “EBCM” or the “null field method”), it can be applied to the scattering calculations of particle with arbitrary shapes and inhomogeneous compositions, which can greatly expand the application scope of the T-Matrix method.

show abstract

Section: Hexagonal Prism Casementioning

confidence: 99%

mentioning

confidence: 99%

Design and Validation of the Invariant Imbedded T-Matrix Scattering Model for Atmospheric Particles with Arbitrary Shapes

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…16 To simulate an unbounded domain with the finite element method, appropriate boundary conditions have to be imposed on the artificial boundary, which is considered as transparent boundaries. 13,[17][18][19] Otherwise, infinite elements 20 have to be employed. Both of the techniques aim at replacing the radiation condition at infinity.…”

Section: Introductionmentioning

confidence: 99%

Determination of scattering frequencies for two-dimensional acoustic problems using boundary element method

Gao

Zheng

Qiu³

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

This paper presents a numerical approach for the determination of scattering frequencies of two-dimensional acoustic exterior resonance problems using boundary element method combined with a contour integral method. Since the solving range is surrounded by a Jordan curve in the complex plane, the complex eigenvalues can be acquired through evaluating the contour integral along the Jordan curve using the contour integral method. Complex scattering frequencies are directly extracted by the proposed approach, and their corresponding eigenmodes are also presented by evaluating the vibration amplitudes of internal points. The behaviors of the fictitious eigenfrequencies for unbounded domain are also studied. Numerical examples demonstrate the effectiveness of the approach for the resonance problems of unbounded domains.

show abstract

“…[33] Despite the excellent performance of PSTD, there are two aspects that need to be improved: first, owing to the specificity of its discretization form, the incident field is mainly introduced by a pure scattering field technique in the PSTD scheme now, which is difficult and time-consuming for particles with large size and complex shapes; second, the absorption boundary conditions (ABCs) employed in the PSTD scheme are mainly limited to Berenger's perfectly matched layer (BPML) and uniaxial perfectly matched layer (UPML), whose performance is relatively low compared to convolution perfectly matched layer (CPML) and ADE-PML for the FDTD scheme. [35] To improve model's performance, Sun et al [4] generalized the CPML for the PSTD model. Here, we generalize the weighted total field/scattering field (TF/SF) technique [36] and ADE-PML for the 3D-PSTD scheme and an improved PSTD scattering model of our own is established.…”

Section: Introductionmentioning

confidence: 99%

Light-scattering model for aerosol particles with irregular shapes and inhomogeneous compositions using a parallelized pseudo-spectral time-domain technique

Zhou¹,

Gao²,

Li³

et al. 2018

Chinese Phys. B

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Application of Convolution Perfectly Matched Layer in MRTD scattering model for non-spherical aerosol particles and its performance analysis

Cited by 10 publications

References 29 publications

Design and Validation of the Invariant Imbedded T-Matrix Scattering Model for Atmospheric Particles with Arbitrary Shapes

Design and Validation of the Invariant Imbedded T-Matrix Scattering Model for Atmospheric Particles with Arbitrary Shapes

Determination of scattering frequencies for two-dimensional acoustic problems using boundary element method

Light-scattering model for aerosol particles with irregular shapes and inhomogeneous compositions using a parallelized pseudo-spectral time-domain technique

Contact Info

Product

Resources

About