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The Design of Multilayer Optical Coatings Using Convex Optimization& y' e( M, Q% f+ I3 l
Mohamed A. Swillam, Student Member, IEEE, Mohamed H. Bakr, Member, IEEE,: X: q" `- r9 {6 \+ j
and Xun Li, Senior Member, IEEE( B/ B/ y9 q* g
Abstract—For the first time, convex optimization is applied to
& ^+ G6 L2 P: A9 J* u' `, zthe design of multilayer optical coatings. We present two different& s' O& u1 w/ F" g$ o
approaches to approximate the design problem as a convex optimization
9 Q( s4 h& d( @ pproblem. This problem is then efficiently solved using interior
- Q( G$ Q& `4 M0 ~8 n: P" I& {) W' ^pointmethods. Our formulation is fast and flexible, allowing5 @: @: q6 a9 X$ r9 C- Q
the designer to add any number of constraints. The results show
* [& d) \+ t9 Zthat the used approximation is tight and has a good match with9 n0 s% h) I& |4 K$ k- Z) i
the exact solution.
8 ]! G. M G9 c. t* UIndex Terms—Antireflection (AR) coatings designs, convex optimization, ]( n) L% K7 T
interior point method (IPM), linear programming7 m3 ?/ G3 t# D
(LP), multilayer optical coatings, optical filter designmethodology,
2 ]7 T" U* [; }. O T* N' g, O7 Dthin films.
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