Space Mapping Technique for Design Optimization

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Space Mapping Technique for Design Optimization
of Antireflection Coatings in Photonic Devices
. n$ \1 V: b1 Z  `% a0 s  fNing-Ning Feng, Gui-Rong Zhou, and Wei-Ping Huang, Senior Member, IEEE, Member, OSA
Abstract—Space-mapping (SM) technique is applied for design
4 s" W* A4 J6 ~: P+ X: aoptimization 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
" o8 H# o9 L8 C& C, Q3 ucoarse model for design optimization, whereas the time-intensive
and accurate finite-difference time-domain (FDTD) method is
* R" g( v  F7 `used as the fine model for model calibration. A mapping is established
' w  T( O1 a4 j' o$ Sbetween the parameter spaces of the coarse and the fine
models so that the fine model design becomes the inverse mapping
0 \3 f( D  F% e, hof the optimized coarse model design. Remarkable performance
1 s" q% T  u# S, z) h" e7 E" y9 yof 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
% U: }8 h2 j3 m) S1 Ubroadband ultralow reflectivities can be obtained within three fine
% @  Z3 x) }) i: ~& Hmodel (FDTD) calculations.
Index Terms—Antireflection coatings, finite difference time domain
- c  ?3 E. q# J; W5 s; {method, space mapping technique.
& ^- n9 b, l, E

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