TY - GEN
T1 - Dirac-like cone modulation for phononic crystals using deaf band
AU - Indaleeb, Mustahseen M.
AU - Ahmed, Hossain
AU - Saadatzi, Mohammadsadegh
AU - Banerjee, Sourav
N1 - Publisher Copyright:
© 2019 SPIE.
PY - 2019
Y1 - 2019
N2 - 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 Î" 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.
AB - 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 Î" 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.
KW - Accidental degeneracy
KW - Dirac cone
KW - Multi-occurrence of Dirac-like point
KW - Phononic crystal (PnCs)
KW - Tuning of PnC resonator
UR - http://www.scopus.com/inward/record.url?scp=85069766860&partnerID=8YFLogxK
U2 - 10.1117/12.2514333
DO - 10.1117/12.2514333
M3 - Conference article
AN - SCOPUS:85069766860
T3 - Proceedings of SPIE - The International Society for Optical Engineering
BT - Health Monitoring of Structural and Biological Systems XIII
A2 - Fromme, Paul
A2 - Su, Zhongqing
PB - SPIE
T2 - Health Monitoring of Structural and Biological Systems XIII 2019
Y2 - 4 March 2019 through 7 March 2019
ER -