The Design of Multilayer Optical Coatings Using Convex Optimization
The Design of Multilayer Optical Coatings Using Convex OptimizationMohamed A. Swillam, Student Member, IEEE, Mohamed H. Bakr, Member, IEEE,
and Xun Li, Senior Member, IEEE
Abstract—For the first time, convex optimization is applied to
the design of multilayer optical coatings. We present two different
approaches to approximate the design problem as a convex optimization
problem. This problem is then efficiently solved using interior
pointmethods. Our formulation is fast and flexible, allowing
the designer to add any number of constraints. The results show
that the used approximation is tight and has a good match with
the exact solution.
Index Terms—Antireflection (AR) coatings designs, convex optimization,
interior point method (IPM), linear programming
(LP), multilayer optical coatings, optical filter designmethodology,
thin films.
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