Abstract
In this article, a number of guiding structures are proposed which take advantage of higher symmetries to vastly reduce the dispersion. These higher symmetries are obtained by executing additional geometrical operations to introduce more than one period into the unit cell of a periodic structure. The specific symmetry operations employed here are a combination of p-fold twist and polar glide. Our dispersion analysis shows that a mode in a structure possessing higher symmetries is less dispersive than in a conventional structure. It is also demonstrated that, similar to the previously studied Cartesian glide-symmetric structures, polar glide-symmetric structures also exhibit a frequency independent response. Promising applications of these structures are leaky-wave antennas which utilize the low frequency dependence.
Highlights
These induced effects have been employed in the design of a number of electromagnetic devices
In contrast to previous works focusing on Cartesian glide symmetry, in this article we investigate both twist symmetries and polar glide symmetries, as well as their combination
It has been stressed that the main benefit of employing higher symmetries in periodic structures is to vastly reduce the dispersive nature of the lowest order mode
Summary
These induced effects have been employed in the design of a number of electromagnetic devices. In a p-fold twist-symmetric structure, the sub-unit cell is translated a distance L/p and rotated 2π/p, where L is the period of the full unit cell[1].
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