Robust optimization of 2x2 multimode interference couplers with fabrication uncertainties

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Abstract

In this paper, we propose a novel design-for-manufacture strategy for integrated photonics which speci cally addresses the commonly encountered scenario in which probability distributions of the manufacturing variations are not available, however their bounds are known. The best design point for the device, in the presence of these uncertainties, can be found by applying robust optimization. This is performed by minimizing the maximum realizable value of the objective with respect to the uncertainty set so that an optimum is found whose performance is relatively immune to fabrication variations. Instead of applying robust optimization directly on a computationally expensive simulation model of the integrated photonic device, we construct a cheap surrogate model by uniformly sampling the simulated device at di erent values of the design variables and interpolating the resulting objective using a Kriging metamodel. By applying robust optimization on the constructed surrogate, the global robust optimum can be found at low computational cost. As an illustration of the method's general applicability, we apply the robust optimization approach on a 2x2 multimode interference (MMI) coupler. We robustly minimize the imbalance in the presence of uncertainties arising from variations in the fabricated design geometry. For this example device, we also study the in uence of the number of sample points on the quality of the metamodel and on the robust optimization process. Keywords: Robust optimization, Design-for-Manufacture, Integrated photonics, Multimode interference (MMI) coupler, Surrogate modeling, Metamodel, Implementation error, fabrication uncertainty
Original languageEnglish
Title of host publicationIntegrated Optics: Devices, Materials and Technologies XVII - Proceedings of SPIE
EditorsJE Broquin, G Nunzi Conti
Place of PublicationBellingham, WA, USA
PublisherSPIE
Pages1-11
Number of pages11
ISBN (Print)9780819493965
DOIs
Publication statusPublished - 2013
EventSPIE 17th Photonics West Conference on Integrated Optics, San Francisco, CA, USA - Bellingham, WA, USA
Duration: 2 Feb 20137 Feb 2013

Publication series

Name
PublisherSPIE
Name
Volume8627

Conference

ConferenceSPIE 17th Photonics West Conference on Integrated Optics, San Francisco, CA, USA
Period2/02/137/02/13

Keywords

  • Conf.proc. > 3 pag

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    Rehman, SU., Langelaar, M., & van Keulen, F. (2013). Robust optimization of 2x2 multimode interference couplers with fabrication uncertainties. In JE. Broquin, & G. Nunzi Conti (Eds.), Integrated Optics: Devices, Materials and Technologies XVII - Proceedings of SPIE (pp. 1-11). SPIE. https://doi.org/10.1117/12.2000647