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math.OC2013★ 19 cited
Fabrication-Adaptive Optimization, with an Application to Photonic Crystal Design
Han Men, Robert M. Freund, Ngoc C. Nguyen +2
It is often the case that the computed optimal solution of an optimization problem cannot be implemented directly, irrespective of data accuracy, due to either (i) technological li…
math.OC2009★ 54 cited
Band Gap Optimization of Two-Dimensional Photonic Crystals Using Semidefinite Programming and Subspace Methods
Han Men, Ngoc-Cuong Nguyen, Robert M. Freund +2
In this paper, we consider the optimal design of photonic crystal band structures for two-dimensional square lattices. The mathematical formulation of the band gap optimization pro…