Multiple scattering by two PEC sphere

An analysis of multiple scattering by two Perfect Electric Conducting (PEC) sphere using translation Addition Theorem (AT) for spherical vector wave equation is presented. Specifically, Cruzan formalism is used to represent the AT for spherical harmonics, which introduced translation coefficients for transformation of spherical harmonic from one coordinate to another. These coefficients allow a very efficient solution for the calculation of multiple scattering electric field using two PEC sphere in a near zone region. The numerical simulations are included the validity of the multiple scattering behavior.