Hierarchical Pattern Exploitation for Fast Solving Finite Periodic Arrays Scattering Problems
2023 Photonics & Electromagnetics Research Symposium (PIERS)(2023)
Abstract
The hierarchical pattern exploitation (HPE) is utilized for fast solving electro-magnetic problems of finite periodic composite arrays. The classical framework of the
$\mathcal{H}$
-matrix ignores the spatial location of the sub-array to which the basis functions belong. To exploit the periodicity fully, the interaction blocks denoting patterns are characterized and hashed to create a dictionary between patterns and the corresponding sub-matrices. Thanks to large repeated calculations being pruned, the system matrix assembly is accelerated and the required memory is reduced significantly. Numerical examples illustrate the competitive performance of the proposed method.
MoreTranslated text
Key words
electro-magnetic problems,finite periodic array scattering problem,finite periodic composite array,H-matrix,hierarchical pattern exploitation,system matrix assembly
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined