The Design of Multilayer Optical Coatings Using Convex Optimization

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The Design of Multilayer Optical Coatings Using Convex Optimization
" F# s1 Z8 K" q9 ~2 xMohamed A. Swillam, Student Member, IEEE, Mohamed H. Bakr, Member, IEEE,
2 F- Y) i1 Y. F' qand Xun Li, Senior Member, IEEE
3 w; h" s5 P9 r# F' [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
* S3 h1 y2 U, e! K. J8 F* D9 ythat the used approximation is tight and has a good match with
" L' x- ]3 G2 Z9 L2 v& J# sthe exact solution.
+ m- Z% u9 K  S! ]6 G, t6 a2 bIndex Terms—Antireflection (AR) coatings designs, convex optimization,
6 A9 A6 F, `; z. q) T; {* J8 dinterior point method (IPM), linear programming
(LP), multilayer optical coatings, optical filter designmethodology,
$ j# q6 j8 X) `- D6 h; x9 C" D- Uthin films.

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