Metamaterials have been one of the most attracted strikethrough scientific topics in many disciplines due to their achievable extraordinary optical properties including negative index of refraction, Near-zero index and ultra high index of refraction. The three dimensional FDTD method is employed for investigating the electromagnetic propagation through a proposed structure of metamaterial based on periodic arrays of gold spherical nanopaticles. The optical properties of the structure are investigated as a function of gap distances between the metallic nanoparticls. The structure exhibit an increment of index of refraction by increasing the gap distances reaching up to 10.16 at the gap distance (a=750nm) for incident wavelength λ=500nm with transmission about 30%. Interesting phenomena of generation of new frequencies (induced frequencies) with high amplitudes are observed. The induced frequencies are transmitted outside the structures.
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