Multiresonant metasurfaces for arbitrarily broad bandwidth pulse chirping and dispersion compensation

We show that ultrathin metasurfaces with a specific multiresonant response can enable simultaneously arbitrarily strong and broadband dispersion compensation, pulse (de)chirping, compression or broadening. This breakthrough overcomes the fundamental limitations of both conventional nonresonant approaches (bulky) modern singly resonant (narrowband) for quadratic phase manipulations electromagnetic signals. The required nonuniform trains resonances in electric magnetic sheet conductivities completely control delay, group chirp are rigorously derived imposed by physical constraints thoroughly discussed. Subsequently, practical, truncated approximation finite sequences physically realizable linear is constructed associated error quantified. By appropriate spectral ordering resonances, operation be achieved either transmission reflection mode, enabling full space coverage. proposed concept not limited to but introduces generic powerful platform spatiotemporal real-world signals myriad applications optics, microwave photonics, radar, communication systems.