In this paper, a 3D elliptical reflector coated with chiral medium has been analyzed to find the field in the vicinity of focal region using geometrical optics (GO) and Maslov's method. As the GO approximation does not work at the focal points due to unreal singularities occur at these points. Therefore, Maslov's theory has been applied to derive the expressions which are also valid at focal points. These focal points usually are of great importance in all practical applications. The effects of thickness (d) of the coated medium, chirality parameter (β) of the coated medium and permittivity (ɛ) of the medium on the focal region fields are illustrated. A special case of elliptical reflector coated with conventional medium has also been evaluated. The derived fields expressions are plotted using MATLAB software.