Space Mapping Technique for Design Optimization

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Space Mapping Technique for Design Optimization
% s  X7 v$ E9 v! cof Antireflection Coatings in Photonic Devices
& ~4 t' z4 n6 j9 W9 FNing-Ning Feng, Gui-Rong Zhou, and Wei-Ping Huang, Senior Member, IEEE, Member, OSA
. e- ]9 {: O; _) ]! z" e' wAbstract—Space-mapping (SM) technique is applied for design
* N: i  Q7 a# Roptimization of antireflection (AR) coatings for photonic devices
such as the semiconductor optical amplifiers (SOA). The approximate
and efficient transfer matrix method (TMM) serves as the
coarse model for design optimization, whereas the time-intensive
and accurate finite-difference time-domain (FDTD) method is
used as the fine model for model calibration. A mapping is established
! h: F6 I' x2 Ibetween the parameter spaces of the coarse and the fine
2 m7 J- Q/ k% V4 h, G! G1 Gmodels so that the fine model design becomes the inverse mapping
" q2 _9 Z1 \( ]3 c. l9 P; D* fof the optimized coarse model design. Remarkable performance
of the SM technique in terms of efficiency and accuracy in the
design optimization is demonstrated by way of examples. It is
shown that, in the context of multilayer coating design, the desired
broadband ultralow reflectivities can be obtained within three fine
3 a5 |4 L/ }! _model (FDTD) calculations.
Index Terms—Antireflection coatings, finite difference time domain
method, space mapping technique.
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& z: J6 f" R+ y; ~+ a3 @; Y: K

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