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.
Received: 18 May 2007
Revised: 22 June 2007
Accepted manuscript online:
Fund: 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).
Cite this article:
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) Comparison of the mechanism of gap formation for tri- and bi-component phononic crystal 2008 Chin. Phys. B 17 1305
Multiple scattering and modeling of laser in fog Ji-Yu Xue(薛积禹), Yun-Hua Cao(曹运华), Zhen-Sen Wu(吴振森), Jie Chen(陈杰), Yan-Hui Li(李艳辉), Geng Zhang(张耿), Kai Yang(杨凯), and Ruo-Ting Gao(高若婷). Chin. Phys. B, 2021, 30(6): 064206.
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