Intuition and Symmetries in Electromagnetism: Eigenstates of Four Antennas

Author:

Bilel HamdiORCID,Taoufik Aguili

Abstract

Symmetries play an essential role in the field of physics. In this paper, we examine the relationship between the eigen-amplitudes of four (2 × 2) symmetrical antennas and the symmetry of the amplitudes of their sources (excitations) using mirroring effects. In our case, we find that changing mirrors using symmetry is identical to the point group theory. By exploiting the symmetry problem, we can show the advantage of reducing the size of the analysis domain, at least by a factor of two or more (2, 4, and 8…etc.) (depending on the problem). Several simulation examples have been developed by the MoM-GEC and HFSS to validate this approach.

Funder

Laboratory Sys’Com-ENIT (LR-99-ES21)-National Engineering School of Tunis ENIT, Tunis, Tunisia

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Reference35 articles.

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2. (2022, November 17). Boundary Conditions-Symmetry Planes CST2013. Available online: https://space.mit.edu/RADIO/CST_online/mergedProjects/3D/special_solvopt/special_solvopt_boundary_conditions_symmetryplanes.htm.

3. (2022, November 17). Symmetric Boundary Conditions in FEA. Available online: https://resources.system-analysis.cadence.com/blog/msa2022-symmetric-boundary-conditions-in-fea.

4. (2022, November 17). Symmetry Plane Boundary Condition. Available online: https://edadocs.software.keysight.com/display/empro2010/Symmetry+Plane+Boundary+Condition.

5. (2022, November 17). Exploiting Symmetry to Simplify Magnetic Field Modeling. Available online: https://www.comsol.fr/blogs/exploiting-symmetry-simplify-magnetic-field-modeling/.

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