GPU acceleration of Nystrom type method for solving singular integral equations in H-polarized EM waves scattering by strip gratings

IF 0.8 4区工程技术 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Frequenz Pub Date : 2023-05-23 DOI:10.1515/freq-2022-0195

M. Kaliberda, L. Lytvynenko, S. Pogarsky

引用次数: 0

Abstract

Abstract In this paper, we propose the use of the graphics processing units (GPUs) for acceleration of solution of the H-polarized electromagnetic waves scattering by strip gratings. The approach combines the boundary integral equation method with the Nystrom-type discretization of singular integral equations and is realized with the use of C++ and OpenCL. The elements of the matrix of the resulting system of equations can be calculated independently and, thus, in parallel. The calculation time of the proposed parallelized algorithm on GPU is compared to standard serial algorithm executed on CPU. We considered gratings of graphene strips in vacuum and inside a dielectric slab. The acceleration is up to 35–55 times for the gratings in vacuum and up to 80–140 times for the gratings of 5–20 strips inside the dielectric slab.

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带状光栅h极化电磁波散射奇异积分方程的Nystrom型方法的GPU加速

摘要在本文中，我们建议使用图形处理单元（GPU）来加速条形光栅散射的H偏振电磁波的解。该方法将边界积分方程法与奇异积分方程的Nystrom型离散化相结合，并利用C++和OpenCL实现。所得方程组的矩阵元素可以独立计算，因此可以并行计算。将所提出的并行算法在GPU上的计算时间与在CPU上执行的标准串行算法进行了比较。我们考虑了石墨烯带在真空中和电介质板内的光栅。对于真空中的光栅，加速度高达35-55倍，对于电介质板内的5-20条光栅，加速度可达80-140倍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Frequenz 工程技术-工程：电子与电气

CiteScore

2.40

自引率

18.20%

发文量

审稿时长

3 months

期刊介绍： Frequenz is one of the leading scientific and technological journals covering all aspects of RF-, Microwave-, and THz-Engineering. It is a peer-reviewed, bi-monthly published journal. Frequenz was first published in 1947 with a circulation of 7000 copies, focusing on telecommunications. Today, the major objective of Frequenz is to highlight current research activities and development efforts in RF-, Microwave-, and THz-Engineering throughout a wide frequency spectrum ranging from radio via microwave up to THz frequencies. RF-, Microwave-, and THz-Engineering is a very active area of Research & Development as well as of Applications in a wide variety of fields. It has been the key to enabling technologies responsible for phenomenal growth of satellite broadcasting, wireless communications, satellite and terrestrial mobile communications and navigation, high-speed THz communication systems. It will open up new technologies in communications, radar, remote sensing and imaging, in identification and localization as well as in sensors, e.g. for wireless industrial process and environmental monitoring as well as for biomedical sensing.