Computation of Two-Dimensional Green's Function for Arbitrary Shaped Multilayer Cylinders

We propose a simple and fast method for the computation of 2-D electric field Green's function of an arbitrary shaped multilayer cylinder. The method is an adaptation of the approach previously introduced for plane wave scattering. According to this approach, the total field at each layer is expressed as a series of cylindrical functions whose coefficients are determined through a procedure based on the application of the continuity conditions on each boundary between the layers. Here, the formulation is modified for a line source, considering that it can also be located in the inner regions of the object, and the numerical performance of the method is investigated for different source point locations.