Robust topology optimization of photonic crystal waveguides with tailored dispersion properties

Fengwen Wang, Jakob Søndergaard Jensen, Ole Sigmund

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Abstract

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.
Original languageEnglish
JournalOptical Society of America. Journal B: Optical Physics
Volume28
Issue number3
Pages (from-to)387-397
ISSN0740-3224
DOIs
Publication statusPublished - 2011

Bibliographical note

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.

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