Twist and Glide Symmetries for Helix Antenna Design and Miniaturization
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AuthorPalomares Caballero, Ángel; Padilla De La Torre, Pablo; Alex Amor, Antonio; Valenzuela Valdes, Juan Francisco; Quevedo Teruel, Óscar
Higher symmetriesPeriodic structuresGlide symmetryTwist symmetryDispersion diagramMicrowave printed circuitsHelix antennas
Palomares-Caballero, Á.; Padilla, P.; Alex-Amor, A.; Valenzuela-Valdés, J.; Quevedo-Teruel, O. Twist and Glide Symmetries for Helix Antenna Design and Miniaturization. Symmetry 2019, 11, 349. [doi:10.3390/sym11030349]
SponsorshipThis research was funded by the Spanish Ministerio de Ciencia, Innovación y Universidades with European Union FEDER funds, grant number TIN2016-75097-P, and by Universidad de Granada, under the project PPJI2017.15. Also, this work has been partially supported by the Universidad de Granada through the grant program “Becas de iniciación a la investigación” from Plan Propio de Investigación.
Here we propose the use of twist and glide symmetries to increase the equivalent refractive index in a helical guiding structure. Twist- and glide-symmetrical distributions are created with corrugations placed at both sides of a helical strip. Combined twist-and glide-symmetrical helical unit cells are studied in terms of their constituent parameters. The increase of the propagation constant is mainly controlled by the length of the corrugations. In our proposed helix antenna, twist and glide symmetry cells are used to reduce significantly the operational frequency compared with conventional helix antenna. Equivalently, for a given frequency of operation, the dimensions of helix are reduced with the use of higher symmetries. The theoretical results obtained for our proposed helical structure based on higher symmetries show a reduction of 42.2% in the antenna size maintaining a similar antenna performance when compared to conventional helix antennas.