The quintessential concept of metamaterials is to obtain material properties via structuring, and that of photonic crystals is to master band structures inspired by condensed matter. The combination of the two gives rise to an exciting optical frontier called reciprocal or k-space metaphotonics, with a prominent example of bound states in the continuum (BICs). Here, we will discuss our recent efforts on artificial intelligence to design BICs, utilizing them for optically forbidden excitons, and investigate the topological nature of BICs for nonlinear high-harmonic generations. The high finesse and relative ease of fabrication could render BIC-based k-space metaphotonics promising for applications.
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