Broadband continuous supersymmetric transformation: a new paradigm for transformation optics

Abstract Transformation optics has formulated a versatile framework to mold the flow of light and tailor its spatial characteristics at will. Despite huge success in bringing scientific fiction (such as invisibility cloaking) into reality, coordinate transformation often yields extreme material parameters unfeasible even with metamaterials. Here, we demonstrate new paradigm based upon invariance eigenspectra Hamiltonian physical system, enabled by supersymmetry. By creating gradient-index metamaterial control local index variation family isospectral optical potentials, broadband continuous supersymmetric optics, on silicon chip, simultaneously transform transverse multiple states for arbitrary steering switching flows. Through novel synergy symmetry physics metamaterials, our work provides an adaptable strategy conveniently tame full exploitation degree freedom.