As a hot topic in today's electromagnetic community, the realization and application of left-handed metamaterial have widely attracted people's antentions. Till now, scientists have achieved great success on the theory, the fabrications and the applications of left-handed metamaterial. However, its further research is limited due to the dispersive inbeing of metals. Metal-based left-handed metamaterial, which is the main-stream realization in microwave frequencies, can not be copied in Terahertz and higher frequencies. The realization of left-handed metamaterials in three-dimensional form is also confined by the metallic structural resonators.In this thesis, we propose a novel approach to realize left-handed metamaterials with pure dielectrics. Since conductive currents and displacement currents play the same roles in Maxwell's Equations to the electric or magnetic polarization in the constitutive relations, we propose the construction of left-handed metamaterial using high dielectric resonators with a replacement of conductive current by displacement current. Computer simulation and experimental observation verify the validation of this theory. Through theoretical analysis, we further propose a 3-D left-handed metamaterial by using a cross-lock combination of dielectric rods array, whose negative effect is verified by numerical simulations.We apply these kind left-handed metamaterials to different applications by some flexible designs. By using the pure dielectric left-handed metamaterials, the superlens for both the near and far field imaging purposes and a highly directional radiation antenna are realized. We also try to apply the specified metamaterials to the electromagnetic invisible cloak design. We establish the scattering model of a cloak with reduced parameters, design the cloak with the consideration of refractive index distribution, and fabricate the cloak by using the pure dielectric left-handed metamaterials. The particular electromagnetic effects of a perfect lossless cloak with static charges inside are also discussed. |