Analytical calculation of the solid angle defined by a cylindrical detector and a point cosine source with orthogonal axes

Analytical calculation of the solid angle defined by a cylindrical detector and a point cosine source with parallel axes

We derive analytical expressions for the solid angle subtended by a right finite circular cylinder at a point source with cosine angular distribution in the case where the source direction is parallel to the cylinder axis. As a subsidiary result, an expression for the solid angle subtended by a disc detector at a spread disc source is also provided, in the case where the two discs have a common symmetry axis which is also coincident with the source direction.

Acoustic insertion loss due to two dimensional periodic arrays of circular cylinders parallel to a nearby surface

The acoustical performances of regular arrays of cylindrical elements, with their axes aligned and parallel to a ground plane, have been investigated through predictions and laboratory experiments. Semi-analytical predictions based on multiple scattering theory and numerical simulations based on a boundary element formulation have been made. Measurements have been made in an anechoic chamber using arrays of (a) cylindrical acoustically-rigid scatterers (PVC pipes) and (b) thin elastic shells. Insertion loss (IL) spectra due to the arrays have been measured without and with ground planes for se…

用于求解任意平行圆柱集合体电磁波散射问题的高精度半解析方法

High-Accuracy Semi-Analytical Method for Solving the Problem of Electromagnetic Wave Scattering by Arbitrary Ensembles of Parallel Circular Cylinders

该研究针对任意平行圆柱集合体的电磁波散射问题，提出基于圆柱谐波解析展开和格拉夫加法定理的半解析方法，经数值求解和多阶段验证，能在多参数范围提供高精度解，并以铝纳米圆柱簇为例进行了相关计算分析。