摘要
利用基于奇异值提取技术的高斯积分技巧,并引进局部坐标系与合适的坐标变换,将奇异积分的计算转化为在局部坐标系内的积分面元上计算沿边界的曲线积分,最终给出了奇异积分与近似奇异积分的数值计算公式,从而实现了Helmholtz表面积分方程积分解的数值计算。对刚性球的仿真结果表明:该方法给出的目标散射方向性图与国外类似文献吻合得较好,可用于双基地声纳、目标低频声散射特性等相关研究。
By means of Gaussian integral, a new method is proposed to deal with singular integrals and approximate singular integrals according to the singularity extraction technique. The introduction of a local coordinate system and the adoption of coordinate transformation can convert the calculated singular surface integral into a regular curvilinear integral to obtain the numerical formulae of singular integrals. Through simulation, the direction charts of acoustic scattering at different wave radii are plot- ted, which agrees well with those in foreign literature of a kind. The results demonstrate that the proposed new method can he used for the research on bistatic sonar and the prediction of echo characteristics of complicated objects at low frequencies.
出处
《海军工程大学学报》
CAS
北大核心
2012年第6期65-69,共5页
Journal of Naval University of Engineering
关键词
声散射
奇异积分
刚性球
散射方向性图
acoustic scattering
singular integral
rigid sphere
direction chart of acoustic scattering
