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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 3 — Mar. 1, 2011
  • pp: 387–397

Robust topology optimization of photonic crystal waveguides with tailored dispersion properties

Fengwen Wang, Jakob S. Jensen, and Ole Sigmund  »View Author Affiliations


JOSA B, Vol. 28, Issue 3, pp. 387-397 (2011)
http://dx.doi.org/10.1364/JOSAB.28.000387


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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 n g = 25 and n g = 100 and bandwidths of Δ ω / 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

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.7400) Optical devices : Waveguides, slab
(130.5296) Integrated optics : Photonic crystal waveguides

ToC Category:
Numerical Methods

History
Original Manuscript: August 16, 2010
Revised Manuscript: December 9, 2010
Manuscript Accepted: December 12, 2010
Published: February 8, 2011

Citation
Fengwen Wang, Jakob S. Jensen, and Ole Sigmund, "Robust topology optimization of photonic crystal waveguides with tailored dispersion properties," J. Opt. Soc. Am. B 28, 387-397 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-3-387

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