Code for the modal solution of Lilley's equation with point source

Dataset supporting: "Stone et al. Aeroacoustic catastrophes: upstream cusp beaming in Lilley's equation".This Mathematica code can be used to compute the modal solution to Lilley's equation (for a point source) for any flow or source position at any receiver position in the far-field. This code uses the simple turning-point solution of the radial equation.Also included here: 1. Ring source modal solution. 2. Weighted ring source solution.