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Study of a Parallel Second-Order Small Slope Approximation Algorithm for Electromagnetic Scattering from the Rough Surface.

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Title: Study of a Parallel Second-Order Small Slope Approximation Algorithm for Electromagnetic Scattering from the Rough Surface.
Authors: Zhang, Xiaoyan1, Wang, Luqi1 18479358208@163.com, He, Hongwei1, Yu, Gang1
Source: Progress in Electromagnetics Research C. 2026, Vol. 170, p132-139. 8p.
Subjects: Electromagnetic wave scattering, Fast Fourier transforms, Parallel programming, Rough surfaces, Computer performance
Abstract: The second-order small-slope approximation (SSA2) is an analytical approximation method applied to electromagnetic scattering simulations on rough surfaces. However, the conventional serial SSA2 method involves a quadruple integral, and each integration requires a fast Fourier transform (FFT). As a result, the method demands very high memory and suffers from very low computational efficiency. In this paper, a parallel SSA2 method is proposed by combining region decomposition with Message Passing Interface (MPI) programming. The OpenMP technique is also adopted to further improve the algorithm's performance. To avoid the frequent communication overhead caused by spectral shifting in traditional parallel FFT methods, the matrix data is carefully allocated, which effectively removes the related communication bottleneck. In addition, by using the separability of the two-dimensional (2-D) FFT, each 2-D FFT is implemented using two sequential one-dimensional (1-D) FFTs. This design limits inter-node communication to a constant upper bound. Numerical results show that when the number of computer nodes reaches 10, the parallel efficiency of the proposed method exceeds 80%, which confirms the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:The second-order small-slope approximation (SSA2) is an analytical approximation method applied to electromagnetic scattering simulations on rough surfaces. However, the conventional serial SSA2 method involves a quadruple integral, and each integration requires a fast Fourier transform (FFT). As a result, the method demands very high memory and suffers from very low computational efficiency. In this paper, a parallel SSA2 method is proposed by combining region decomposition with Message Passing Interface (MPI) programming. The OpenMP technique is also adopted to further improve the algorithm's performance. To avoid the frequent communication overhead caused by spectral shifting in traditional parallel FFT methods, the matrix data is carefully allocated, which effectively removes the related communication bottleneck. In addition, by using the separability of the two-dimensional (2-D) FFT, each 2-D FFT is implemented using two sequential one-dimensional (1-D) FFTs. This design limits inter-node communication to a constant upper bound. Numerical results show that when the number of computer nodes reaches 10, the parallel efficiency of the proposed method exceeds 80%, which confirms the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
ISSN:19378718
DOI:10.2528/PIERC26032408