The scattering of spherical pulses by slightly rough surfaces
The scattering of spherical pulses by slightly rough surfaces
复制标题
球形脉冲被稍微粗糙的表面散射
DOI：
--
复制
发表时间：
1979
期刊：
影响因子：
--
通讯作者：
I. Tolstoy
中科院分区：
文献类型：
--
作者：
I. Tolstoy
使用由毕奥提出的“小粗糙度”边界条件，其中包含了多次散射的影响，可以得到瞬态球面波相干散射的简单、封闭形式的解。将该边界条件与法向坐标技术相结合，可以得到粗糙刚性平面上或上方的脉冲或其他点源的显式解，即，对于有限入射角和掠入射角。这种方法自然区分两种类型的到达：体波（或体积波）和边界波;后者包括后向散射。边界波随着离开表面的距离而迅速消失。但是，平行于边界，在没有衰减的情况下，它的振幅仅以r−1/2的幅度减小，因此对于足够大的r，以及对于在表面或表面附近的源和接收器，边界波将主导直接声脉冲到达。本文的方法和结果可推广到球型光子晶体的散射和衍射问题。
Using a ’’small roughness’’ boundary condition due to Biot, which incorporates the effects of multiple scatter, one can obtain simple, closed‐form solutions for the coherent scattering of transient spherical waves. Combining this boundary condition with the normal coordinate technique leads to explicit solutions for impulsive or other point sources above or on a rough, rigid plane, i.e., for both finite and grazing angles of incidence. This approach distinguishes naturally between two types of arrival: body (or volume) waves and boundary waves; the latter incorporate the backscatter. The boundary wave dies off rapidly with distance from the surface. But, parallel to the boundary, in the absence of attenuation, its amplitude decreases only as r−1/2 so that for sufficiently large r, and for source and receiver at or near the surface, the boundary‐wave will dominate the direct acoustic pulse arrivals. The methods and results of this paper can be extended to problems of scatter and diffraction of spherical pu...