Bloch-Floquet conditions

I am glad to present a recent set of papers highlighting the noteworthy properties of 1D periodic waveguides generated by a quasicrystalline sequence. The concept of canonical configuration explains how to obtain a periodic frequency spectrum and why this outcome is connected to trace mapping:  

-->M. Gei, Z. Chen, F. Bosi, L. Morini (2020) Appl. Phys. Lett. 116, 241903 - https://doi.org/10.1063/5.0013528

In this paper we describe the dynamic behavior of elongated multi-structured media excited by flexural harmonic waves. We examine periodic structures consisting of continuous beams and discrete resonators disposed in various arrangements. The transfer matrix approach and Bloch-Floquet conditions are implemented for the determination of different propagation and non-propagation regimes.