Abstract

The performance of optical filters with resonant waveguide gratings is investigated numerically in a stochastic context, assuming random fluctuations of various design variables. Specifically, we derive stochastic models based on polynomial chaos expansions, whose involved coefficients are obtained by computing spectral projections via sparse-grid quadrature. The latter exploits purely deterministic results from a rigorous coupled-wave analysis solver and requires less simulation data than standard Monte Carlo (MC) techniques. The statistical moments of the filter’s spectral response are calculated reliably, as the comparison against reference results from MC analysis verifies, and the extraction of the Sobol indices reveals the structure’s sensitivity with respect to specific design parameters. Moreover, the present analysis clearly points out that neglecting even small geometric variations in the filter design may produce misleading conclusions regarding the corresponding performance, with undesirable consequences in real-life applications.

© 2018 Optical Society of America

Stochastic process design kits for photonic circuits based on polynomial chaos augmented macro-modelling

Abi Waqas, Daniele Melati, Paolo Manfredi, and Andrea Melloni
Opt. Express 26(5) 5894-5907 (2018)

Stochastic collocation for device-level variability analysis in integrated photonics

Yufei Xing, Domenico Spina, Ang Li, Tom Dhaene, and Wim Bogaerts
Photon. Res. 4(2) 93-100 (2016)

Performance analysis of triple asymmetrical optical multiple ring resonator with a 1 × 3 input-output waveguide for application as an optical filter

Suman Ranjan and Sanjoy Mandal
Appl. Opt. 57(9) 2040-2049 (2018)

Efficient uncertainty quantification of large two-dimensional optical systems with a parallelized stochastic Galerkin method

Z. Zubac, J. Fostier, D. De Zutter, and D. Vande Ginste
Opt. Express 23(24) 30833-30850 (2015)

Design and performance analysis of fiber-optic infinite-impulse response filters

Anjan Ghosh and Steve Frank
Appl. Opt. 31(23) 4700-4711 (1992)