Efficient Modeling of Antennas with Finite Conductivity using Calderon Preconditioning
Keywords:
Efficient Modeling of Antennas, Finite Conductivity, Calderon PreconditioningAbstract
A Calderon preconditioner for a novel single-source integral equation, which allows the simulation of high dielectric contrasts and lossy conductors, is introduced. It is shown that this preconditioner avoids breakdown when simulating scattering problems including high permittivities. This is corroborated by a numerical example of a receiving copper dipole antenna.
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References
F. P. Andriulli, K. Cools, H. Ba˘gci, F. Olyslager, A. Buffa, S. Christiansen, and E. Michielssen, “A multiplicative Calder´on preconditioner for the electric field integral equation,” IEEE Trans. Antennas Propag., vol. 56, no. 8, pp. 2398–2412, Aug. 2008.
K. Cools, F. P. Andriulli, and E. Michielssen, “A Calder´on multiplicative preconditioner for the PMCHWT integral equation,” IEEE Trans. Antennas Propag., vol. 59, no. 12, pp. 4579–4587, Dec. 2011.
P. Yl¨a-Oijala and S. P. Kiminki, “Challenges in developing efficient Calder´on preconditioners for resonating or high material contrast penetrable objects,” J. Comput. Appl. Math., vol. 289, pp. 296–305, Dec. 2015.
A. Buffa and S. H. Christiansen, “A dual finite element complex on the barycentric refinement,” Math. Comput., vol. 76, no. 260, pp. 1743– 1769, Oct. 2007.
P. Yl¨a-Oijala and M. Taskinen, “Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects,” IEEE Trans. Antennas Propag., vol. 53, no. 3, pp. 1168–1173, Mar. 2005.
M. Gossye, M. Huynen, D. Vande Ginste, D. De Zutter, and H. Rogier, “A Calder´on preconditioner for high dielectric contrast media,” IEEE Trans. Antennas Propag., vol. 66, no. 2, pp. 808–818, Feb. 2018.
