Broadband Analysis of Multiscale Electromagnetic Problems: Novel Incomplete-Leaf MLFMA for Potential Integral Equations

2021-12-01
Khalichi, Bahram
Ergül, Özgür Salih
Takrimi, Manouchehr
Erturk, Vakur B.
Recently introduced incomplete tree structures for the magnetic-field integral equation are modified and used in conjunction with the mixed-form multilevel fast multipole algorithm (MLFMA) to employ a novel broadband incomplete-leaf MLFMA (IL-MLFMA) to the solution of potential integral equations (PIEs) for scattering/radiation from multiscale open and closed surfaces. This population-based algorithm deploys a nonuniform clustering that enables to use deep levels safely and, when necessary, without compromising the accuracy resulting in an improved efficiency and a significant reduction for the memory requirements (order of magnitudes), while the error is controllable. The superiority of the algorithm is demonstrated in several canonical and real-life multiscale geometries.
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

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Citation Formats
B. Khalichi, Ö. S. Ergül, M. Takrimi, and V. B. Erturk, “Broadband Analysis of Multiscale Electromagnetic Problems: Novel Incomplete-Leaf MLFMA for Potential Integral Equations,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 69, no. 12, pp. 9032–9037, 2021, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/95138.