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小瓣数贝塞尔声束的二次谐波
引用本文:戴玉蓉,丁德胜.小瓣数贝塞尔声束的二次谐波[J].物理学报,2011,60(12):124302-124302.
作者姓名:戴玉蓉  丁德胜
作者单位:1. 东南大学物理系,南京 210096; 2. 东南大学电子科学与工程学院,南京 210096
基金项目:国家自然科学基金(批准号:11074038,10674024)资助的课题.
摘    要:采用高斯展开法,研究了具有三个瓣的小瓣数贝塞尔声束的基波和二次谐波的传播性质.根据准线性近似下Khokhlov-Zabolotskaya-Kuznetsov方程的积分形式解,分析了媒质的声吸收(声衰减)对波束形状的影响.结果表明:吸收参量对二次谐波径向分布有很大的影响.当瓣数较少时,实际的有限孔径贝塞尔声束二次谐波仍然具有理想无限大孔径贝塞尔声束的主要特征,在近场无衍射区,径向几乎无衍射. 关键词: 二次谐波 贝塞尔声束 声吸收 有限孔径声束

关 键 词:二次谐波  贝塞尔声束  声吸收  有限孔径声束
收稿时间:2011-08-23

Second-harmonic generation of the Bessel sound beam of several lobes
Dai Yu-Rong and Ding De-Sheng.Second-harmonic generation of the Bessel sound beam of several lobes[J].Acta Physica Sinica,2011,60(12):124302-124302.
Authors:Dai Yu-Rong and Ding De-Sheng
Institution:Department of Physics, Southeast University, Nanjing 210096, China;School of Electronic Science and Engineering, Southeast University, Nanjing 210096, China
Abstract:By the Gaussian expansion approach we investigate fundamental- and second-harmonic generation in practical Bessel beams of several lobes. The analysis is based on the integral solutions of the Khokhlov-Zabolotskaya-Kuznetsov equation under the quasilinear approximation. The influence of the medium attenuation on beam profile is considered. Numerical results show that the absorption parameter has a significant effect on the beam profile of the second harmonic. Under certain circumstances, the second harmonic of a practical Bessel beam with several lobes still has the main properties of an ideal Bessel beam of infinite aperture when it propagates within its depth of field.
Keywords:second-harmonic generation  Bessel sound beam  sound attenuation  sound beams of limited aperture
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