@misc{10481/61853,
year = {2020},
month = {2},
url = {http://hdl.handle.net/10481/61853},
abstract = {This paper studies wave propagation in a periodic parallel-plate waveguide with equilateral
triangular holes. A mode-matching method is implemented to analyze the dispersion diagram of the
structure possessing glide and mirror symmetries. Both structures present an unexpected high degree
of isotropy, despite the triangle not being symmetric with respect to rotations of 90º. We give some
physical insight on the matter by carrying out a modal decomposition of the total field on the hole and
identifying the most significant modes. Additionally, we demonstrate that the electrical size of the
triangular hole plays a fundamental role in the physical mechanism that causes that isotropic behavior.
Finally, we characterize the influence of the different geometrical parameters that conform the unit
cell (period, triangle size, hole depth, separation between metallic plates). The glide-symmetric
configuration offers higher equivalent refractive indexes and widens the stopband compared to the
mirror-symmetric configuration. We show that the stopband is wider as the triangle size is bigger,
unlike holey structures composed of circular and elliptical holes where an optimal hole size exists.},
organization = {This work was partially funded by the Spanish Ministerio de Ciencia Innovación y Universidades
under the project TIN2016-75097-P, and with European Union FEDER funds under projects TEC2017-84724-P
and TEC2017-85529-C3-1-R, by the French National Research Agency Grant Number ANR-16-CE24-0030, by the
Vinnova project High-5 (2018-01522) under the Strategic Programme on Smart Electronic Systems, and by the
Stiftelsen Åforsk project H-Materials (18-302).},
publisher = {MDPI},
keywords = {Periodic structures},
keywords = {Equilateral triangular holes},
keywords = {Mode-matching},
keywords = {Dispersion analysis},
keywords = {Glide symmetry},
keywords = {Mirror symmetry},
title = {Wave Propagation in Periodic Metallic Structures with Equilateral Triangular Holes},
doi = {10.3390/app10051600},
author = {Alex Amor, Antonio and Valerio, Guido and Ghasemifard, Fatemeh and Mesa Aguado, Francisco Luis and Padilla De La Torre, Pablo and Fernández-González, José M. and Quevedo Teruel, Óscar},
}