A Calderon Preconditioner for Large Ground Planes with Arbitrary Contours
(2025) 2025 International Conference on Electromagnetics in Advanced Applications (ICEAA) — Location: Palermo, Italy
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- Abstract
- Many applications involving antenna and antenna arrays require the presence of a large planar ground plane. The size of the ground plane usually scales in the tens of wavelengths, which represents a heavy burden in terms of computational resources. In this paper we apply the Method of Moments (MoM) combined with a Calderón preconditioner. We ensure the regularity of the refined mesh by using an initial regular mesh of rooftop basis functions. The regularity of the refined mesh allows for the application of the Calderón preconditioner in an iterative solver which exhibits linear and N log N complexities regarding memory and matrix-vector multiplication, respectively. These complexities are enabled by the Toeplitz-Block Block-Toeplitz (TBBT) structure of the MoM matrices which allows for the use of the fast Fourier Transform (FFT) in the matrix-vector multiplications. The operations are done at the level of half the basis function in order to include the half basis functions that the preconditioner requires on the edges of open structures. An additional simple algebraic multiplication allows to modify the mesh in order to simulate ground planes with arbitrary contours.
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Abazi, A., Cavillot, J., & Craeye, C. (2025). A Calderon Preconditioner for Large Ground Planes with Arbitrary Contours. IEEE, /(/), 0423-0425. https://doi.org/10.1109/iceaa65662.2025.11305763 (Original work published 2025)