The Design of Multilayer Optical Coatings Using Convex Optimization

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 point methods. Our formulation is fast and f...

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Bibliographic Details
Published in:Journal of lightwave technology 2007-04, Vol.25 (4), p.1078-1085
Main Authors: Swillam, M.A., Bakr, M.H., Xun Li
Format: Article
Language:English
Subjects:
Antireflection (AR) coatings designs
Applied sciences
Approximation
Biomedical optical imaging
Coatings
convex optimization
Design optimization
Electronics
Exact sciences and technology
Exact solutions
Formulations
Fundamental areas of phenomenology (including applications)
interior point method (IPM)
Linear programming
linear programming (LP)
Materials
Mathematical analysis
multilayer optical coatings
Multilayers
Nonhomogeneous media
Optical coatings
Optical design
Optical films
optical filter design methodology
Optical filters
Optical materials
Optical refraction
Optical variables control
Optics
Optimization
Physics
thin films
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Description
Summary: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 point methods. 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
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2007.891457