A Monte Carlo method for solving the electromagnetic scattering problem in dielectric bodies

In this work, we develop a novel Monte Carlo method for solving the electromagnetic scattering problem. The method is based on a formal solution of the scattering problem as a modified Born series whose coefficients are found by a conformal transformation. The terms of the Born series are approximated by sampling random elements of its matrix representation, computed by the Method of Moments. Unlike other techniques as the Fast Multiple Method, this Monte Carlo method does not require communications between processors, which makes it suitable for large parallel executions.