Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms

Abstract As an essential block in optical communication systems, silicon (Si) Mach–Zehnder modulators (MZMs) are approaching the limits of possible performance for high-speed applications. However, due to a large number of design parameters and the complex simulation of these devices, achieving high...

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Main Authors: Romulo Aparecido de Paula, Ivan Aldaya, Tiago Sutili, Rafael C. Figueiredo, Julian L. Pita, Yesica R. R. Bustamante
Format: Article
Language:English
Published: Nature Portfolio 2023-09-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-41558-8
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author Romulo Aparecido de Paula
Ivan Aldaya
Tiago Sutili
Rafael C. Figueiredo
Julian L. Pita
Yesica R. R. Bustamante
author_facet Romulo Aparecido de Paula
Ivan Aldaya
Tiago Sutili
Rafael C. Figueiredo
Julian L. Pita
Yesica R. R. Bustamante
author_sort Romulo Aparecido de Paula
collection DOAJ
description Abstract As an essential block in optical communication systems, silicon (Si) Mach–Zehnder modulators (MZMs) are approaching the limits of possible performance for high-speed applications. However, due to a large number of design parameters and the complex simulation of these devices, achieving high-performance configuration employing conventional optimization methods result in prohibitively long times and use of resources. Here, we propose a design methodology based on artificial neural networks and heuristic optimization that significantly reduces the complexity of the optimization process. First, we implemented a deep neural network model to substitute the 3D electromagnetic simulation of a Si-based MZM, whereas subsequently, this model is used to estimate the figure of merit within the heuristic optimizer, which, in our case, is the differential evolution algorithm. By applying this method to CMOS-compatible MZMs, we find new optimized configurations in terms of electro-optical bandwidth, insertion loss, and half-wave voltage. In particular, we achieve configurations of MZMs with a $$40~\text {GHz}$$ 40 GHz bandwidth and a driving voltage of $$6.25~\text {V}$$ 6.25 V , or, alternatively, $$47.5~\text {GHz}$$ 47.5 GHz with a driving voltage of $$8~\text {V}$$ 8 V . Furthermore, the faster simulation allowed optimizing MZM subject to different constraints, which permits us to explore the possible performance boundary of this type of MZMs.
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spelling doaj.art-07c7c62b906c4530ba2f4ceabe9de4312023-11-20T09:25:36ZengNature PortfolioScientific Reports2045-23222023-09-0113111210.1038/s41598-023-41558-8Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithmsRomulo Aparecido de Paula0Ivan Aldaya1Tiago Sutili2Rafael C. Figueiredo3Julian L. Pita4Yesica R. R. Bustamante5Center for Advanced and Sustainable Technologies, State University of Sao Paulo (UNESP)Center for Advanced and Sustainable Technologies, State University of Sao Paulo (UNESP)Centre for Research and Development in Telecommunications (CPQD)Centre for Research and Development in Telecommunications (CPQD)Department of Electrical Engineering, École de Technologie Supérieure (ÉTS)Centre for Research and Development in Telecommunications (CPQD)Abstract As an essential block in optical communication systems, silicon (Si) Mach–Zehnder modulators (MZMs) are approaching the limits of possible performance for high-speed applications. However, due to a large number of design parameters and the complex simulation of these devices, achieving high-performance configuration employing conventional optimization methods result in prohibitively long times and use of resources. Here, we propose a design methodology based on artificial neural networks and heuristic optimization that significantly reduces the complexity of the optimization process. First, we implemented a deep neural network model to substitute the 3D electromagnetic simulation of a Si-based MZM, whereas subsequently, this model is used to estimate the figure of merit within the heuristic optimizer, which, in our case, is the differential evolution algorithm. By applying this method to CMOS-compatible MZMs, we find new optimized configurations in terms of electro-optical bandwidth, insertion loss, and half-wave voltage. In particular, we achieve configurations of MZMs with a $$40~\text {GHz}$$ 40 GHz bandwidth and a driving voltage of $$6.25~\text {V}$$ 6.25 V , or, alternatively, $$47.5~\text {GHz}$$ 47.5 GHz with a driving voltage of $$8~\text {V}$$ 8 V . Furthermore, the faster simulation allowed optimizing MZM subject to different constraints, which permits us to explore the possible performance boundary of this type of MZMs.https://doi.org/10.1038/s41598-023-41558-8
spellingShingle Romulo Aparecido de Paula
Ivan Aldaya
Tiago Sutili
Rafael C. Figueiredo
Julian L. Pita
Yesica R. R. Bustamante
Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms
Scientific Reports
title Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms
title_full Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms
title_fullStr Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms
title_full_unstemmed Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms
title_short Design of a silicon Mach–Zehnder modulator via deep learning and evolutionary algorithms
title_sort design of a silicon mach zehnder modulator via deep learning and evolutionary algorithms
url https://doi.org/10.1038/s41598-023-41558-8
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