TY - JOUR
T1 - Robust topology optimization of photonic crystal waveguides with tailored dispersion properties
AU - Wang, Fengwen
AU - Jensen, Jakob Søndergaard
AU - Sigmund, Ole
N1 - This paper was published in Optical Society of America. Journal B: Optical Physics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
PY - 2011
Y1 - 2011
N2 - A robust topology optimization method is formulated to tailor dispersion properties of photonic crystal waveguides, with consideration of manufacturing uncertainties. Slightly dilated and eroded realizations are considered as well as the real structure, and by worst-case optimization, we also ensure a satisfactory performance in the case of an under- or overetching scenario in the manufacturing process. Two photonic crystal waveguides facilitating slow light with group indexes of ng = 25 and ng = 100 and bandwidths of Δω/ω = 2:3% and 0.3%, respectively, are obtained through the proposed robust design procedure. In addition, a novel waveguide design with two different constant group index waveguide regions is demonstrated. The numerical examples illustrate the efficiency of the robust optimization formulation and indicate that the topology optimization procedure can provide a useful tool for designing waveguides that are robust to manufacturing uncertainties such as under or overetching. © 2011 Optical Society of America.
AB - A robust topology optimization method is formulated to tailor dispersion properties of photonic crystal waveguides, with consideration of manufacturing uncertainties. Slightly dilated and eroded realizations are considered as well as the real structure, and by worst-case optimization, we also ensure a satisfactory performance in the case of an under- or overetching scenario in the manufacturing process. Two photonic crystal waveguides facilitating slow light with group indexes of ng = 25 and ng = 100 and bandwidths of Δω/ω = 2:3% and 0.3%, respectively, are obtained through the proposed robust design procedure. In addition, a novel waveguide design with two different constant group index waveguide regions is demonstrated. The numerical examples illustrate the efficiency of the robust optimization formulation and indicate that the topology optimization procedure can provide a useful tool for designing waveguides that are robust to manufacturing uncertainties such as under or overetching. © 2011 Optical Society of America.
U2 - 10.1364/JOSAB.28.000387
DO - 10.1364/JOSAB.28.000387
M3 - Journal article
SN - 0740-3224
VL - 28
SP - 387
EP - 397
JO - Optical Society of America. Journal B: Optical Physics
JF - Optical Society of America. Journal B: Optical Physics
IS - 3
ER -