3D graphics of ray and modal solutions to Lilley's equation

Dataset supporting: "Stone et al. Aeroacoustic catastrophes: upstream cusp beaming of jet noise". This zip file contains two Mathematica Notebooks and CDF (Computational Document Format) files. 1. A spherical polar wrap of the modal solution to Lilley's equation with point source. The overlaying structures are defined in the above paper. 2. Cusp rays. Ray trajectories that form the Note that the Notebook files require the user to have a Mathematica license, whereas the CDFs is an interactive document that can be viewed using a free-of-charge CDF viewer.本数据集用于支撑论文《Stone et al. Aeroacoustic catastrophes: upstream cusp beaming of jet noise》（中文译名为《Stone等人：航空声学灾变：喷射噪声的上游尖锥束射》）。本压缩包包含两份Mathematica笔记本（Mathematica Notebook）文件与可计算文档格式（Computational Document Format，简称CDF）文件： 1. 点源条件下Lilley方程模态解的球极坐标包裹可视化结果，其中叠加的结构定义详见上述论文。 2. 尖锥射线：构成尖锥束射的射线路径。 请注意，Mathematica笔记本文件需要用户持有合法的Mathematica软件授权许可，而CDF文件为交互式文档，可通过免费的CDF阅读器打开查看。