Band pattern of commensurate modulated periodic structures

Abstract

Analogies with physical phenomena indicate that modulation of a material or geometrical parameter of a periodic structure enriches its original band structure. The present work aims to provide an insight into the band‐splitting phenomenon in the case of commensurate modulation for a parallel‐plate waveguide technology‐based geometry. A modulated one‐dimensional parallel‐plate waveguide signal integrity structure is numerically analysed to exhibit the appearance of band splitting and new bandgaps. The modulation mechanism has a potential in dispersion engineering, as it allows controlling the number and position of the electromagnetic bandgaps and the in‐band characteristics of the field propagation. Generation of modes with negative group velocities for a given frequency band is also achievable by this technique.

Glide-Symmetric All-Metal Holey Metasurfaces for Low-Dispersive Artificial Materials: Modeling and Properties

“…F. Ghasemifard details to the inner structure of each unit cell of periodicity [10]. Specifically, symmetries can provide a number of interesting dispersive effects.…”

Floquet Spectral Almost Periodic Modulation of Massive Finite and Infinite Strongly Coupled Arrays: Dense Massive MIMO, Intelligent Surfaces, 5G and 6G Applications

“…Therefore, the spectrum analysis based 17 on a Fourier transformation (in the Floquet domain) is proposed to simplify the EM 18 calculation on an elementary cell surrounded by periodic walls, as explained in [9]- [15] 19 (in other research, they use periodic Green's functions) [17]- [28]. In the bibliography 20 and recent studies, only spatial modulation techniques have been proposed to study 21 periodic systems with large sizes [33]- [36]. Except in our case, a Fourier spectral analysis 22 is presented to introduce a spectral modulation technique and its spatial equivalent 23 (Fourier and Fourier inverse) to study strongly coupled sub arrays in an infinite and large 24 finite almost periodic support [6], [30]- [32] .…”

Floquet Spectral Almost-Periodic Modulation of Massive Finite and Infinite Strongly Coupled Arrays: Dense-Massive-MIMO, Intelligent-Surfaces, 5G, and 6G Applications

“…Therefore, the spectrum analysis based on a Fourier transformation (in the Floquet domain) is proposed to simplify the EM calculation on an elementary cell surrounded by periodic walls, as explained in [1][2][3][4][5][6][7] (in other research, they use periodic Green's functions) [8][9][10][11][12][13][14][15][16][17][18][19]. In the bibliography and recent studies, only spatial modulation techniques have been proposed to study periodic systems with large sizes [20][21][22][23]. Except in our case, a Fourier spectral analysis is presented to introduce a spectral modulation technique and its spatial equivalent (Fourier and Fourier inverse) to study strongly coupled sub arrays in an infinite and large finite almost-periodic support [24][25][26][27].…”