期刊
ENGINEERING OPTIMIZATION
卷 41, 期 4, 页码 365-384出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/03052150802576797
关键词
robust optimization; PDE-constrained optimization; shape optimization; coupling taper; periodic waveguide; slow-light; photonics
资金
- National Science Foundation [0423905]
- Air Force Office of Scientific Research [F49620-01-1-0365]
- MARCO Focus Center for Circuit & System Solutions [2003-CT-888]
This article concerns the design of tapers for coupling power between uniform and slow-light periodic waveguides. New optimization methods are described for designing robust tapers, which not only perform well under nominal conditions, but also over a given set of parameter variations. When the set of parameter variations models the inevitable variations typical in the manufacture or operation of the coupler, a robust design is one that will have a high yield, despite these parameter variations. The ideas of successive refinement, and robust optimization based on multi-scenario optimization with iterative sampling of uncertain parameters, using a fast method for approximately evaluating the reflection coefficient, are introduced. Robust design results are compared to a linear taper, and to optimized tapers that do not take parameter variation into account. Finally, robust performance of the resulting designs is verified using an accurate, but much more expensive, method for evaluating the reflection coefficient.
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