Selective spatial localization of the atom displacements in one-dimensional hybrid quasi-regular (Thue–Morse and Rudin–Shapiro)/periodic structures

Acoustic wave localization in one-dimensional Fibonacci phononic structures with mirror symmetry

“…18,19 The transmission of classical waves through such systems exhibits very peculiar behaviours, and thus, received a great deal of interest. A lot of works was then reported on the propagation of elementary excitations through quasi-periodic structures according to different geometrical sequences such as Cantor, Fibonacci, Thue-Morse, and double-period sequences [20][21][22] that are of particular interest in many domains of physics such as optics, thermodynamics, and acoustics. Among these works, several studies focused on quasi one-dimensional structures made of one-dimensional segments and loops pasted together [23][24][25][26] and following a Fibonacci series.…”

Designing of stop band filters using hybrid periodic/quasi‐periodic one‐dimensional photonic crystals in microwave domain

“…In addition, theoretically approached is the effect of the angle of incidence upon the omnidirectional refectance of an electromagnetic wave that propagates throughout λ /4 multilayered dielectric porous‐silicon‐based heterostructures 18. In other words, the 1D hybrid systems formed by combinations of periodic and quasiregular (Fibonacci or Thue–Morse and Rudin–Shapiro) blocks are used to study the vibrational frequencies and atom displacements 19–21.…”