声子晶体平板组合成像特性分析

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (17) : 140-144.

论文

声子晶体平板组合成像特性分析

覃世冬，邓芳圆，刘绍娥 ,李晓春 , 周科朝

作者信息 +

Researching of the Characteristics of Imaging Process of Combined Slabsin Phononic crystal

Qin Shi-dong , DENG Fang-Yuan , LIU Shao-e ，LI Xiao-chun , ZHOU Ke-chao

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文章历史 +

摘要

用多重散射方法分析了声子晶体单平板和多平板的成像特性。发现：在特定频率范围内，引入等效负折射率后，单板负折射成像可用反Snell定律描述；多层声子晶体平板成像服从依次成像规律，可类比传统几何光学中共轴球面系统的成像，引入实物实像、虚物虚像等概念；平板透镜不改变出射波的出射方向，仅使出射位置产生平移；多平板透镜的累加成像与等厚度的单一平板透镜成像具有相同的效果。平板透镜的这些成像特点，使其在成像质量、加工方法、系统组合等方面比球面透镜更具优势。

Abstract

By the multiple-scattering theory (MST), the imaging process in phononic crystal with slab and slabs were investigated. It was found that there was a negative refraction imaging for a single slab in a certain frequency range, the processing can be described by Anti-Snell's law after introduced the effective negative refractive index. For slabs, the image can be obtained by repeating imaging according to position order of slabs, its processing is similar to case of conventional geometric optical system of spherical surfaces with the same primary optical axis, so the concepts, such as real/ virtual object and image etc, can also be employed utility. A acoustic slab len can not change the propagating direction of sound wave in phononic crystal but shift its locations. And the combined slabs system share the same imaging result with the single slab when its cumulate thickness is equal to thickness of a single slab. These characteristics make the combined slabs lens system more advantages than the traditional geometric optical spherical surfaces system in the image quality, lens manufacturing and system constructing etc.

导出引用

覃世冬;邓芳圆;刘绍娥;李晓春;周科朝. 声子晶体平板组合成像特性分析[J]. 振动与冲击, 2012, 31(17): 140-144

Qin Shi-dong;DENG Fang-Yuan;LIU Shao-e;LI Xiao-chun ;ZHOU Ke-chao. Researching of the Characteristics of Imaging Process of Combined Slabsin Phononic crystal[J]. Journal of Vibration and Shock, 2012, 31(17): 140-144