FMM Accelaration of 2D Well-Conditioned T-Matrix Method for Multiple Scatterers

Abstract

The T-Matrix method for a multitude of two-dimensional dielectric targets can be well-conditioned based on the ideas on Analytical Regularization Method. A peculiar implementation of Fast Multipole Acceleration for this method is revisited. The advantages of working with linear algebraic equations of the second kind instead of the first kind are underlined in terms of reduction in the number of iterations for the iterative solver for a specific residual error.