TY - CHAP
T1 - Engineering acoustic band gaps in phononic crystals
AU - Zhang, Zhao Qing
AU - Lai, Yun
AU - Zhang, Xiangdong
N1 - Publisher Copyright:
© 2003 by Taylor & Francis Group, LLC.
PY - 2003/1/1
Y1 - 2003/1/1
N2 - In recent years, the study of acoustic and elastic waves propagation in periodic materials, known as "phononic crystals", has received increasing amount of attention. Analogous to photonic crystals, a large and robust band gap is essential to all applications of phononic crystals. In this work, a perturbative approach is applied to phononic crystals and two main results are obtained. Firstly, we show that a perturbation analysis can provide us an efficient method to enlarge an existing acoustic band gap. Secondly, by extending the perturbative analysis to disordered phononic crystals, we can quantitatively estimate the effect of the disorder on the size of an acoustic band gap. Due to the difference in the mathematical structures between Maxwell equations in a photonic crystal and acoustic wave equation in a phononic crystal, we find that it is much more efficient to enlarge an acoustic band gap than a photonic band gap. Numerical simulations using the Multiple Scattering Method verify all the conclusions above.
AB - In recent years, the study of acoustic and elastic waves propagation in periodic materials, known as "phononic crystals", has received increasing amount of attention. Analogous to photonic crystals, a large and robust band gap is essential to all applications of phononic crystals. In this work, a perturbative approach is applied to phononic crystals and two main results are obtained. Firstly, we show that a perturbation analysis can provide us an efficient method to enlarge an existing acoustic band gap. Secondly, by extending the perturbative analysis to disordered phononic crystals, we can quantitatively estimate the effect of the disorder on the size of an acoustic band gap. Due to the difference in the mathematical structures between Maxwell equations in a photonic crystal and acoustic wave equation in a phononic crystal, we find that it is much more efficient to enlarge an acoustic band gap than a photonic band gap. Numerical simulations using the Multiple Scattering Method verify all the conclusions above.
UR - http://www.scopus.com/inward/record.url?scp=85056071915&partnerID=8YFLogxK
U2 - 10.1201/9780203390283
DO - 10.1201/9780203390283
M3 - Chapter
AN - SCOPUS:85056071915
SN - 9780415308328
SP - 241
EP - 244
BT - Nano Science and Technology
PB - CRC Press
ER -