Metamaterials open unparalleled opportunities for “engineering” previously inaccessible values of refractive indices from positive to near-zero and even negative values, and new avenues for light manipulation. While an enormous progress has been made in the field of linear optics of uniform metamaterials, including negative index of refraction, magnetism in optics, and subwavelength focusing, light interactions with graded-index and nonlinear metamaterials is a fascinating, relatively new and highly unexplored branch of metamaterials research. In this talk, I will discuss new phenomena that we predicted in so-called "transition metamaterials", or materials with the refractive index gradually changing from positive to negative values, and in nonlinear guided-wave metamaterial structures.
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