Fast Green´s Function Evaluation for Sources and Observers Near Smooth Convex Bodies

An efficient procedure for the evaluation of the Green´s function for a source and multiple observation points near a convex impedance boundary cylinder is presented. The evaluation is performed using non-uniform grids spread along the cylinder´s perimeter and regionally tailored for capturing the Green´s function´s behavior in the line-of-sight and shadow regions. On these grids, the Green´s function is assumed to be accurately pre-computed using analytical or numerical techniques. The procedure is demonstrated for the circular case associated with the generalized equivalence integral equation.