Missing harmonic dynamics in Generalized Snell’s Law: revealing full-channel characteristics of gradient metasurfaces
Peer-Reviewed Publication
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This work integrates phase gradient control with Floquet periodicity, systematically revealing the "missing" harmonic dynamics in the Generalized Snell’s Law (GSL). Through deterministic Floquet-engineered momentum compensation, target harmonics are selectively activated, transforming spatial harmonic components into independently tunable degrees of freedom—culminating in the Spatial Harmonic-expanded Generalized Snell’s Law (SH-GSL). This paradigm shifts traditional gradient metasurface research from "avoiding inter-unit coupling" to "precisely regulating strong inter-unit coupling". The work systematically elucidates the dynamics of high-order spatial harmonics in gradient metasurfaces, shaping the core physics of "full-channel metasurfaces," and provides theoretical and engineering pathways for ultra-dense beamforming, reconfigurable multichannel sensing, and generalized metasurface device design under strong coupling paradigms.
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