The 3DV-FMM method to calculate scattering from inhomogeneous dielectric objects

Numerical methods for fast and efficient solution of electromagnetic (EM) scattered fields from arbitrary shaped, 3-D scatterers are of great importance not only in EM scattering simulation but also in scattering inversion. Since the integral equation satisfies the radiation boundary condition, the MOM method is usually applied. However, a dense matrix derived by using the MOM method requires a large computer memory and long CPU time. Thus, application of the conventional MOM to the integral equation is always restrictive. In this paper, the fast multipole method (FMM) is developed to solve the 3D volume integral problems. Scattering from a complex 3D dielectric object can be efficiently and accurately calculated. Numerical simulations of scattering from 3D inhomogeneous, multiobjects are discussed and are compared with the conventional MOM results.