EI / SCOPUS / CSCD 收录

中文核心期刊

大振幅平面声波的反射和折射(Ⅰ)——一维情况

THE REFLECTION AND REFRACTION OF A LARGE AMPLITUDE PLANE SOUND WAVE (I) ONE DIMENSIONAL CASE

  • 摘要: 本文利用逐级近似法分析了大振幅平面声波正投射在分割二种不同介质的界面上时,声波在界面上发生反射和透射的特性.计算的结果表明在计及二级近似的情况下,二级反射波和透射波除有与一级反射系数和一级透射系数平方成正比的部分外,还有用二级反射系数和二级透射系数描述的反射波和透射波,这些波同二级入射波有一定的相移,相移的大小由二种介质的声学参数和非线性参数规定.本文所获得的结果可以用来阐明已在实验上取得的提高参量阵转换效率的理论依据.

     

    Abstract: Using the method of successive approximation, the reflection and refraction (transmission) of a large amplitude plane sound wave are treated, as the sound wave impinges normally on the plane interface of two acoustically different media. It is shown that, when second order of approximation is taken into account, there are second order reflected waves and second order transmitted waves, whose amplitudes are proportional to the square of the first order reflection coefficient and first order transmission coefficient respectively, and waves, defined by second order reflection coefficient and second order transmission coefficient respectively. The phase shifts of the later to the second order incident wave are found and are determined by acoustic parameters and nonlinear parameters of these two different media. It is interesting to point out that amplitudes of the in-phase components are linearly dependent upon first order reflection coefficient and first order transmission coefficient respectively and the mutipliers are independent upon acoustic parameters of the second medium. An improvement on transfer efficiency of parametric array, obtained by Ryder et al., can be explained theoretically.

     

/

返回文章
返回