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Reusing Submatrix Calculations in Array Decomposition Method for Finite Arrays With Electrically Connected Elements
KTH, School of Electrical Engineering and Computer Science (EECS), Electromagnetics and Plasma Physics.ORCID iD: 0009-0009-5150-697X
KTH, School of Electrical Engineering and Computer Science (EECS), Electromagnetics and Plasma Physics. Saab Surveillance, 175, 41 Järfälla, Sweden.ORCID iD: 0000-0003-1525-1948
KTH, School of Electrical Engineering and Computer Science (EECS), Electromagnetics and Plasma Physics.ORCID iD: 0000-0001-7269-5241
2025 (English)In: 2025 URSI International Symposium on Electromagnetic Theory (EMTS), International Union of Radio Science (URSI) , 2025Conference paper, Published paper (Other academic)
Abstract [en]

The finite partial translation symmetry apparent in array antennas can be exploited for effective calculation of the Method of Moments (MoM) impedance matrix. With a geometrical array decomposition built on nine subdomain components, the obtained MoM impedance matrix inherits a partial block Toeplitz structure, which enables fast calculation time and reduces memory allocation. In this paper, we further improve the calculation time by reusing already calculated submatrices of the MoM impedance matrix. By identifying corresponding elements between the nine components, already calculated submatrices can be extracted to create submatrices previously deemed as necessary to calculate. The reusing strategy reduces the number of submatrix calculations to perform from O(NxNy) to O(Nx+Ny), of a part of the impedance matrix, for an Nx×Ny array.

Place, publisher, year, edition, pages
International Union of Radio Science (URSI) , 2025.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-384121DOI: 10.46620/URSIEMTS25/HSKB3856Scopus ID: 2-s2.0-105013760234OAI: oai:DiVA.org:kth-384121DiVA, id: diva2:2079803
Conference
URSI International Symposium on Electromagnetic Theory, EMTS 2025, Bologna, Italy, June 23-27, 2025
Note

Part of ISBN 979-8-3315-1293-4

QC 20260713

Available from: 2026-06-25 Created: 2026-06-25 Last updated: 2026-07-17Bibliographically approved

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Åkerstedt, LucasHultin, HaraldJonsson, B. L. G.

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