In our manuscript study, we are reporting the established results for the scattering from Perfect Electric Conductor (PEC) sphere into a computationally numerical approach. The presented scattering model is based on a generalized Lorenz-Mie theory framework and assemble with the vector translation Addition Theorem (AT) for the vector spherical harmonics. Applying extended Mie theory on a sphere lead to a set of an unknown coefficients by the use of translation AT. As an illustration, we want to present numerical simulation of total scattered field from PEC sphere using vector translation translation AT . We used advanced computational tools and approaches for mathematical modelling of the observation. It represents the optical properties and spectrum, which can model the required system of observation. We used COMSOL simulation software for verification of our final results.
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