S. Caorsi et al., EXTENSION OF MOMENT-METHOD SOLUTIONS TO VECTOR SCATTERING BY 3-DIMENSIONAL NONLINEAR DIELECTRIC OBJECTS IN FREE-SPACE, International journal for numerical methods in engineering, 38(5), 1995, pp. 809-821
In this paper. we explore the possibility of applying the moment metho
d to determine the electromagnetic field distributions inside three-di
mensional bounded non-linear dielectric objects of arbitrary shapes. T
he moment method has usually been employed to solve linear scattering
problems. We start with an integral equation formulation, and derive a
non-linear system of algebraic equations that allows us to obtain an
approximate solution for the harmonic vector components of the electri
c field. Preliminary results of some numerical simulations are reporte
d.