Intuition and Symmetries in Electromagnetism: Eigenstates of Four Antennas

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.

Keywords

• symmetries
• antennas
• perfect electric conductor (PEC) walls
• perfect magnetic conductor (PMC) walls
• mirroring effects
• eigen states