Prof Sean Molesky discussed how Lagrange duality heuristics for quadratically constrained quadratic optimization problems (QCQPs) can substantially lessen these knowledge gaps for a variety of common photonic design problems. As showcased by initial applications to topics including radiative emission from a dipolar current source and toy ``math-kernel’' field conversion objectives, I will also offer empirical evidence that such ``dual-solutions’' are capable of predicting the results of large-scale inverse methods within an order of magnitude in several settings.
Seminar Link: Picoelectrodynamics Theory Network - YouTube
