Dirac-like cone modulation for phononic crystals using deaf band

Mustahseen M. Indaleeb; Hossain Ahmed; Mohammadsadegh Saadatzi; Sourav Banerjee

doi:10.1117/12.2514333

1 April 2019 Dirac-like cone modulation for phononic crystals using deaf band

Mustahseen M. Indaleeb, Hossain Ahmed, Mohammadsadegh Saadatzi, Sourav Banerjee

Proceedings Volume 10972, Health Monitoring of Structural and Biological Systems XIII; 109721Z (2019) https://doi.org/10.1117/12.2514333
Event: SPIE Smart Structures + Nondestructive Evaluation, 2019, Denver, Colorado, United States

Abstract

Accidental degeneracy is the only known reason behind the degeneration of 3 or more modes, giving a Dirac cone or Dirac-like cone, depending on the position of the occurrence. The generation of triply degenerate points at the center of the Brillouin zone (where the wave number k→ = 0) is rare and only happens accidentally. In this article, it is proposed to execute triple degeneracy using the simplest geometric microarchitecture of phononic crystals (PnCs). The modulation of the crystals can be performed to demonstrate multiple Dirac-like cones at Γ point by using the nondispersive deaf band obtained from the periodic structure. Thus, a deaf band based predictive model of PnCs can be realized, by proving the existence of the deaf band both numerically and experimentally. The claims have been proved and validated using a squared array of cylindrical polyvinylchloride (PVC) inclusions in an air matrix. This phenomenon yields multiple wave guiding patterns that can be practically used in many research fields.

Conference Presentation

Citation Download Citation

Mustahseen M. Indaleeb, Hossain Ahmed, Mohammadsadegh Saadatzi, and Sourav Banerjee "Dirac-like cone modulation for phononic crystals using deaf band", Proc. SPIE 10972, Health Monitoring of Structural and Biological Systems XIII, 109721Z (1 April 2019); https://doi.org/10.1117/12.2514333

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