P波入射下固固界面的二阶谐波场特性

应用二阶势理论研究了P波入射到固-固界面情况下的二阶谐波场。运用变动参数法求解二阶非齐次势函数方程的边值问题,数值计算了二阶谐波位移与入射角的关系,结果表明当入射角到达某个角度时,二阶谐波场的位移会急剧增大。同时,当入射角度为θ_w时,特解位移趋近无限大的有关现象依然出现,关于边界面的影响也做了讨论。 

Second-order harmonic field characteristics of solid-solid interface under P wave incidence

The aim of this paper is to investigate the second-order harmonic field characteristics of the solid-solid interface under P wave incidence according to the second-order potential theory.We consider an isotropic solid-solid interface and solve the boundary value problem of the second-order potential non-homogeneous equation based on the parameter variation method.The numerical computation is performed to analyze the relationship between the incident angle and the second-order harmonic displacement by modifying the incident angle.The results show that when the incident angle approaches a certain angle,the displacement of the second-order harmonic field will increase steeply.Moreover,the displacement mutation of the non-homogeneous solution still arises when the incident angle reaches atθ_w.Finally,the effect of boundary surface on the second-order harmonic sound field is also discussed.