Abstract
In this paper, we investigate the existence of defect modes in the phononic band structure and in the transmission spectrum of a one-dimensional phononic asymmetric loop (ASL) structure. This structure exhibits large acoustic bandgaps that originate both from the periodicity of the system and the loop resonant modes that create zeros of transmission. The defect modes result from the presence of a defective segments and loops in the ASL structure and may occur in these gaps. The localized states (defect modes) appear as very narrow peaks in the transmission spectrum and in the map of transmission of a finite serial loop structure. The defect mode behavior is analyzed as a function of the defect lengths, the position of the defects, and the ratio between the loops undisturbed. Our theoretical analysis is performed using the continuous medium interface response theory, which makes it possible to calculate the Green function of any composite material.
Highlights
Phononic is a field based on the interaction between the acoustic waves and the materials of the structure; this interaction is the key to modern technology in this domain of research.1–5 Phononic structures play a very important role in the development of technologies in different fields of communication, transport, and others
It is well known that the disturbance of the periodicity within these structures, in analogy to defects in serial loops or the star waveguide photonic,10,16–19 leads to the achievement of localized defects; this defect gives rise to localized states inside the acoustic bandgaps, which appear as a very narrow peak and high amplitude in the transmission spectrum
We examine the behavior of defect modes located in the bandgaps coming from the presence of both defects at the loop level localized in the middle of the structure
Summary
Phononic is a field based on the interaction between the acoustic waves and the materials of the structure; this interaction is the key to modern technology in this domain of research. Phononic structures play a very important role in the development of technologies in different fields of communication, transport, and others. It is well known that the disturbance (breaking) of the periodicity within these structures, in analogy to defects in serial loops or the star waveguide photonic, leads to the achievement of localized defects; this defect gives rise to localized states (defect modes) inside the acoustic bandgaps, which appear as a very narrow peak and high amplitude in the transmission spectrum. These states depend on several parameters of the structure, in particular the defect length..
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