基于半波带法菲涅耳声透镜的仿真与实验研究  

Simulation and experimental study of Fresnel acoustic lens based on half-wave zone method

作　　者：陈冰心 朱浩宇 涂宏业 李金华[1] 张烨[1] 金光勇[1] CHEN Bin-xin;ZHU Hao-yu;TU Hong-ye;LI Jin-hua;ZHANG Ye;JIN Guang-yong(School of Science,Changchun University of Science and Technology,Changchun,Jilin 130022,China;School of Electrical and Optical Engineering,Changchun University of Science and Technology,Changchun,Jilin 130022,China)

机构地区：[1]长春理工大学理学院,吉林长春130022 [2]长春理工大学光电工程学院,吉林长春130022

出　　处：《大学物理》2018年第10期54-59,共6页College Physics

基　　金：吉林省教育科学"十三五"规划课题(GH170178);吉林省教育厅高等教育教学改革研究课题(重点)资助

摘　　要：根据菲涅耳衍射原理给出了半波带声学透镜的几何公式,考察半波带声透镜的会聚能力,建立半波带声透镜的二维轴对称物理模型,并采用有限元分析方法对模型控制方程——Helmholtz方程进行仿真计算.基于所建物理模型,得出了频率、半波带个数以及声透镜材质的透射系数对聚焦能力的影响.仿真结果表明,半波带个数的增加可调高焦点处的声压级,同时焦点的位置变大;而频率越低,焦距越小;透射系数越大,焦点处声压级越小.最后,通过制作简易声学透镜验证物理模型的有效性.In order to investigate the focusing ability of half wave acoustic band lens,the geometric formula of the two-dimensional(2D)half wave acoustic lens is obtained by using the Fresnel diffraction principle.A 2D axisymmetric physical model of the half-wave acoustic lens is established,and the finite element method is used to simulate the model-Holmholtz equation.Based on the physical model,the influence of the frequency,the number of half band and the transmission coefficient of the acoustic lens on the focusing ability are investigated.The results show that the increase of the number of half-band increases the sound pressure level at the focal point and change the position of the focal point.The lower the frequency is,the smaller the focal length is.The larger the transmission coefficient is,the smaller the sound pressure level at the focal point is.Finally,the effectiveness of the physical model is verified by making a simple acoustic lens.

关 键 词：菲涅耳衍射 声学透镜 有限元分析 

分 类 号：O422[理学—声学]