In this talk, we will discuss our recent efforts on nonlinearity-based wave interactions in metamaterials, including large isolation and non-reciprocal responses, giant harmonic generation, and nonlinearity-induced topological protection in suitably designed metamaterials. The large wave-matter interactions in metamaterials can be tailored to enhance the typically weak nonlinearities of optical materials to realize new devices and systems with unusual functionalities, of interest in nanophotonics, optical communications and sensing.
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