Marston Philip L
Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA.
J Acoust Soc Am. 2007 Jul;122(1):247-52. doi: 10.1121/1.2735810.
The exact partial wave series for the scattering by a sphere centered on an ideal Bessel beam was recently given by Marston ["Scattering of a Bessel beam by a sphere," J. Acoust. Soc. Am. 121, 753-758 (2007)]. That series is applied here to solid elastic spheres in water and to an empty spherical shell in water. The examples are selected to illustrate the effect of varying the beam's conical angle so as to modify the coupling to specific resonances in the response of each type of sphere considered. The backscattering may be reduced or increased depending on properties of the resonance and of the specular contribution. Changing the conical angle is equivalent to changing the beamwidth. Some applications of the Van de Hulst localization principle to the interpretation of the partial wave series and to the interpretation of the scattering dependence on the beam's conical angle are discussed. Some potential applications to the analysis of the scattering by spheres of more general axisymmetric beams are noted.
最近，马斯顿给出了以理想贝塞尔光束为中心的球体散射的精确分波级数[《球体对贝塞尔光束的散射》，《美国声学学会杂志》121, 753 - 758 (2007)]。该级数在此应用于水中的固体弹性球体以及水中的空心球壳。所举例子用于说明改变光束圆锥角的效果，从而改变与所考虑的每种球体响应中特定共振的耦合。根据共振特性和镜面反射贡献，后向散射可能会减小或增大。改变圆锥角等同于改变光束宽度。讨论了范德胡尔斯定位原理在解释分波级数以及解释散射对光束圆锥角的依赖性方面的一些应用。还指出了其在分析更一般轴对称光束的球体散射方面的一些潜在应用。
