Periodic and quasi-periodic one-dimensional phononic crystal biosensor: a comprehensive study for optimum sensor design

Abstract

Graphical 3D dimensions representation of the suggested NaI sensor.

A promising ultra-sensitive CO2 sensor at varying concentrations and temperatures based on Fano resonance phenomenon in different 1D phononic crystal designs

“…In this section, acoustic wave propagation is introduced through the binary periodic and S n quasi-periodic structures. The quasi-periodic PnCs structures in the present study can be presented by the Fibonacci sequence 69 , 84 , 85 . By placing the two basic components A and B side by side according to the recursive rule, as illustrated in Eq.…”

“…The quasi-periodic PnCs structure is designed according to the stacking rule, which is covered in the analyzed structures section. The structures of quasi-periodic lack translational symmetry, introducing periodic structures of extraordinary ordering patterns, and providing an extra freedom in constructing and controlling the characteristics of the structure 69 , 71 – 74 . As a result, the acoustic wave’s ability to propagate through these structures is increasingly attenuated because of the additional degree of freedom it has within them 65 , 71 – 74 .…”

“…Periodic/quasi-periodic PnCs gas sensors’ structure with the Fano resonance phenomenon have not been explored before as it is believed that this produces very sharp modes of resonance transmitted with an innovative sensitivity, the quality factor, and the figure of merit 60 – 64 . The quasi-periodic structures are known as structures of an exceptional arrangement pattern, which provides extra design freedom and controls the properties of the structure; these structures lack translational symmetry 65 – 69 . To create omnidirectional band gaps, as well as large phononic/photonic band gaps, these quasi-periodic structures could function more efficiently compared to the periodic designs.…”

Fano resonance in one-dimensional quasiperiodic topological phononic crystals towards a stable and high-performance sensing tool

“…These structures adhere to a stacking rule detailed in the subsequent section on analysed structures. The key characteristic of quasiperiodic structures is the absence of translational symmetry 25,29,57 , introducing aperiodic arrangements with distinctive ordering patterns. This characteristic imparts an additional degree of freedom, allowing for intricate control over the structure's properties.…”

“…In the field of PnC structures, a quasiperiodic PnC structure is a novel departure from the conventional periodic arrangements by introducing distinct ordering patterns, such as those derived from Cantor, Dodecanacci, Fibonacci, Rudin Shapiro and other mathematical rules, while foregoing the traditional translational symmetry 12,25 . The distinctiveness of quasiperiodic structures and the uniqueness of quasiperiodic patterns unfold a realm of advantages for sensing applications.…”