In last decade, many of researches have proposed to study materials with periodic
structures,These structures can be engineered to realize novel electromagnetic properties
and to achieve behaviors that are not found in naturally materials. These ma
terials have
negative permittivity and permeability .Those are called meta-material or Left Hand
Material (LHM), They are fabricated, studied and analyzed within different applications of
microwave and optical communication. Recently, the microwave engineering applications
of artificial metamaterials have been widely discussed and various novel microwave
components were achevid for example, filters, antennas and fiber optic. This paper studys
and analyzes the reflection from fractal distribution of MMs layers in RHM medium, using
the recursive method, and applies it in the design of microwave narrow band filters.
