A polynomial-chaos-expansion-based building block approach for stochastic analysis of photonic circuits

Abi Waqas; Daniele Melati; Paolo Manfredi; Flavia Grassi; Andrea Melloni

doi:10.1117/12.2289058

23 February 2018 A polynomial-chaos-expansion-based building block approach for stochastic analysis of photonic circuits

Abi Waqas, Daniele Melati, Paolo Manfredi, Flavia Grassi, Andrea Melloni

Author Affiliations +

Proceedings Volume 10526, Physics and Simulation of Optoelectronic Devices XXVI; 1052617 (2018) https://doi.org/10.1117/12.2289058
Event: SPIE OPTO, 2018, San Francisco, California, United States

Abstract

The Building Block (BB) approach has recently emerged in photonic as a suitable strategy for the analysis and design of complex circuits. Each BB can be foundry related and contains a mathematical macro-model of its functionality. As well known, statistical variations in fabrication processes can have a strong effect on their functionality and ultimately affect the yield. In order to predict the statistical behavior of the circuit, proper analysis of the uncertainties effects is crucial. This paper presents a method to build a novel class of Stochastic Process Design Kits for the analysis of photonic circuits. The proposed design kits directly store the information on the stochastic behavior of each building block in the form of a generalized-polynomial-chaos-based augmented macro-model obtained by properly exploiting stochastic collocation and Galerkin methods. Using this approach, we demonstrate that the augmented macro-models of the BBs can be calculated once and stored in a BB (foundry dependent) library and then used for the analysis of any desired circuit. The main advantage of this approach, shown here for the first time in photonics, is that the stochastic moments of an arbitrary photonic circuit can be evaluated by a single simulation only, without the need for repeated simulations. The accuracy and the significant speed-up with respect to the classical Monte Carlo analysis are verified by means of classical photonic circuit example with multiple uncertain variables.

Conference Presentation

Citation Download Citation

Abi Waqas, Daniele Melati, Paolo Manfredi, Flavia Grassi, and Andrea Melloni "A polynomial-chaos-expansion-based building block approach for stochastic analysis of photonic circuits", Proc. SPIE 10526, Physics and Simulation of Optoelectronic Devices XXVI, 1052617 (23 February 2018); https://doi.org/10.1117/12.2289058

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available