中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1305-1311.doi: 10.1088/1674-1056/17/4/026

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Comparison of the mechanism of gap formation for tri- and bi-component phononic crystal

赵宏刚, 温激鸿, 刘耀宗, 郁殿龙, 王刚, 温熙森   

  1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China
  • 收稿日期:2007-05-18 修回日期:2007-06-22 出版日期:2008-04-01 发布日期:2008-04-01
  • 基金资助:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 51307) and the National Natural Science Foundation of China (Grant No 50575222).

Comparison of the mechanism of gap formation for tri- and bi-component phononic crystal

Zhao Hong-Gang(赵宏刚)†, Wen Ji-Hong(温激鸿), Liu Yao-Zong(刘耀宗), Yu Dian-Long(郁殿龙), Wang Gang(王刚), and Wen Xi-Sen(温熙森)   

  1. Institute of Mechatronical Engineering, National University of Defense Technology, Changsha 410073, China
  • Received:2007-05-18 Revised:2007-06-22 Online:2008-04-01 Published:2008-04-01
  • Supported by:
    Project supported by the State Key Development Program for Basic Research of China (Grant No 51307) and the National Natural Science Foundation of China (Grant No 50575222).

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摘要： Using an exact Mie scattering solution, this paper investigates the mode conversions during the Mie scattering of a single bi- or one-component sphere in unbounded epoxy. Then the formation mechanism of the first complete gap in the corresponding tri- or bi-component phononic crystal is investigated by the multiple-scattering method. It is shown that the heavy density of the scatterer plays an essential role in the Mie resonance and the formation of the gaps for both types of the phononic crystals. For the tri-component phononic crystal, the gap is mainly induced by the Mie resonance of the single scatterer. For the bi-component phononic crystal, the transverse wave (by mode-conversion during the Mie scattering under a longitudinal wave incidence) is modulated by the periodicity and governed by the Bloch theory, which induces the gap cooperatively.

Abstract: Using an exact Mie scattering solution, this paper investigates the mode conversions during the Mie scattering of a single bi- or one-component sphere in unbounded epoxy. Then the formation mechanism of the first complete gap in the corresponding tri- or bi-component phononic crystal is investigated by the multiple-scattering method. It is shown that the heavy density of the scatterer plays an essential role in the Mie resonance and the formation of the gaps for both types of the phononic crystals. For the tri-component phononic crystal, the gap is mainly induced by the Mie resonance of the single scatterer. For the bi-component phononic crystal, the transverse wave (by mode-conversion during the Mie scattering under a longitudinal wave incidence) is modulated by the periodicity and governed by the Bloch theory, which induces the gap cooperatively.

Key words: phononic crystal, Mie scattering, multiple scattering, band gap

中图分类号:  (Diffraction and scattering)

  • 42.25.Fx
63.20.-e (Phonons in crystal lattices)