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We introduce a paradigm for accurate design of metasurfaces for intricatebeam manipulation, implementing functionalities previously consideredimpossible to achieve with passive lossless elements. The key concept involvesself-generation of auxiliary evanescent fields which facilitate the requiredlocal power conservation, without interfering with the device performance inthe far field. We demonstrate our scheme by presenting exact reactive solutionsto the challenging problems of reflectionless beam splitting and perfectreflection, verified via full wave simulations.

Synthesis of passive lossless metasurfaces using auxiliary fields for reflectionless beam splitting and perfect reflection