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Periodic strings: A mechanical analogy to photonic and phononic crystals

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Author(s):
Pitombo, R. S. ; Vasconcellos, M. ; Abrantes, P. P. ; de Melo e Souza, Reinaldo ; Penello, G. M. ; Farina, C.
Total Authors: 6
Document type: Journal article
Source: American Journal of Physics; v. 92, n. 2, p. 7-pg., 2024-02-01.
Abstract

We present a theoretical study of a periodic vibrating string composed of a finite sequence of string segments connected periodically, with each segment characterized by a constant linear mass density. The main purpose is to provide a model that can mimic the properties of photonic or phononic crystals. This system displays frequency intervals for which wave propagation is not allowed (frequency bandgaps), in close analogy to photonic and phononic crystals. We discuss the behavior of these bandgaps when varying physical parameters, such as the values of the linear mass densities, the oscillation frequency, and the number of string segments constituting the entire system. (AU)

FAPESP's process: 21/04861-7 - Atom-induced nonlinear photonic interactions
Grantee:Patrícia Pinto Abrantes
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 22/05236-1 - Twistors in super-Yang-Mills and AdS_5xS5
Grantee:Rodrigo Schmidt Pitombo
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)