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Indexed singular value bounds on scattering operators: How many channels can a photonic device support?
Paul Virally, Pengning Chao, Alessio Amaolo +2
Spectral properties of scattering operators, and their dependence on geometry, are of crucial importance to photonic design, enabling low-rank approximations and improved understan…
Inferring Structure via Duality for Photonic Inverse Design
Sean Molesky, Pengning Chao, Alessio Amaolo +1
Led by a result derived from Sion's minimax theorem concerning constraint violation in quadratically constrained quadratic programs (QCQPs) with at least one constraint bounding th…
Bounds as blueprints: towards optimal and accelerated photonic inverse design
Pengning Chao, Alessio Amaolo, Sean Molesky +1
Our ability to structure materials at the nanoscale has, and continues to, enable key advances in optical control. In pursuit of optimal photonic designs, substantial progress has…