 
Variability Aware DesignResearch Area:
Design and Modeling for Integrated Photonics,
Largescale Photonic Integration,
Silicon Photonics Process Technology Main Researcher: Yufei Xing
What is the problem with variability in photonics?
 large sensitivity
 different contributions to variability (processing, temperatures)
 different scales (die, wafer, batch)
Many components will all have slight deviations, which will impact the performance and yield of the entire circuit
Variability of individual components will impact the yield of the circuit
Approach:
 Monte Carlo
 Smarter models based on Stochastic CollocationSC or PCE
PDF and CDF of the coupling coefficient for wavelength at 1.55 μm obtained by means of the SC model and MC model, respectively.
An example:
A Directional Coupler has its waveguide width and thickness varied by a random distribution. It field coupling coefficient is a random variable. SC saves computation cost drastically by replacing the simulation model (Fimmwave Modesolver) with a cheap stochastic model (analytical expression).
Comparison of performance and time consumption of the SC with the MC method.
Other people involved: Related Research Projects
Publications International Journals

A. Kaintura, D. Spina, I. Couckuyt, L.Knockaert, W. Bogaerts, T. Dhaene,
A Kriging and Stochastic Collocation ensemble for uncertainty quantification in engineering applications, Engineering with Computers, p.115 (2017) .

A. Li, W. Bogaerts,
Fundamental Suppression of Backscattering in Silicon Microrings, Optics Express, (2017) .

Y. Xing, D. Spina, A. Li, T. Dhaene, W. Bogaerts,
Stochastic Collocation for Devicelevel Variability Analysis in Integrated Photonics, Photonics Research, (2016) .

W. Bogaerts, M. Fiers, P. Dumon,
Design Challenges in Silicon Photonics, J. Sel. Top. Quantum Electron., 20(4), p.18 (2014) .

M. Fiers, E. Lambert, S. Pathak, P. Dumon, B. Maes, P. Bienstman, W. Bogaerts,
Improving the design cycle for nanophotonic components, Journal of Computational Science, 4(5), p.313324 (2013) .
International Conferences

W. Bogaerts,
Scaling Up Silicon Photonic Circuits: Where Are the Challenges?, International Workshop on Optical/Photonic Interconnects for Computing Systems (OPTICS Workshop) (invited), 3, Switzerland, (2017) .

W. Bogaerts,
Challenges for Designing Largescale Integrated Photonics, European Conference on Integrated Optics (ECIO) / Workshop on Optical Waveguide Theory an Numerical Modeling (OWTNM) (invited), Poland, p.OWTNMI01 (2016) .

Y. Xing, D. Spina, A. Li, T. Dhaene, W. Bogaerts,
Variability analysis of devicelevel photonics using stochastic collocation , SPIE Photonics Europe 2016, Belgium, (2016) .

W. Bogaerts,
Silicon Photonics: Designing for Complexity, HiPEAC Computing Systems Week (invited), Italy, (2015).
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