In this thesis we investigate the surface plasmon resonance properties of a metal (Al) or negative refraction material slab. We use transfer matrix method to calculate the attenuated total reflection (ATR) spectrum and field distribution of the slab material. Calculated results show the field intensity has been enhanced within and at the boundary of the slab material when the frequency and wave vector of incident light correspond to the surface plasmon resonance condition. In conclusion, we found that with proper thickness of slab and light frequency the strength of surface plasmon resonance can be a maximum.