Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting

Abstract A novel wideband parametric baseband macromodeling technique for passive photonic devices and circuits is presented. It allows to efficiently estimate the baseband scattering representations of a linear, passive photonic system as a function of a set of design variables, such as geometrical...

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Main Authors: Thijs Ullrick, Domenico Spina, Wim Bogaerts, Tom Dhaene
Format: Article
Language:English
Published: Nature Portfolio 2023-09-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-41227-w
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author Thijs Ullrick
Domenico Spina
Wim Bogaerts
Tom Dhaene
author_facet Thijs Ullrick
Domenico Spina
Wim Bogaerts
Tom Dhaene
author_sort Thijs Ullrick
collection DOAJ
description Abstract A novel wideband parametric baseband macromodeling technique for passive photonic devices and circuits is presented. It allows to efficiently estimate the baseband scattering representations of a linear, passive photonic system as a function of a set of design variables, such as geometrical layout or substrate features. The proposed technique relies on the interpolation of macromodels computed via a complex vector fitting (CVF) algorithm, by adopting a methodology based on amplitude and frequency scaling that preserves, by construction, the physical properties of the system, such as causality, stability and passivity. For a specified combination of the design parameters, a rational CVF model is derived that can be simulated by a wide range of ordinary differential equation (ODE) solvers or circuit simulators. Additionally, time-domain simulations using the computed model can be performed at arbitrary optical carrier frequencies, thus allowing for the simulation of multi-wavelength systems. Two application examples are presented to demonstrate the flexibility and advantages of the proposed method.
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spelling doaj.art-6fd58bfe43fa4bd3b05f4eaf7dadcba22023-11-19T12:55:35ZengNature PortfolioScientific Reports2045-23222023-09-0113112210.1038/s41598-023-41227-wWideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fittingThijs Ullrick0Domenico Spina1Wim Bogaerts2Tom Dhaene3IDLab, Department of Information Technology, Ghent University-imecIDLab, Department of Information Technology, Ghent University-imecPhotonics Research Group, Department of Information Technology, Ghent University-imecIDLab, Department of Information Technology, Ghent University-imecAbstract A novel wideband parametric baseband macromodeling technique for passive photonic devices and circuits is presented. It allows to efficiently estimate the baseband scattering representations of a linear, passive photonic system as a function of a set of design variables, such as geometrical layout or substrate features. The proposed technique relies on the interpolation of macromodels computed via a complex vector fitting (CVF) algorithm, by adopting a methodology based on amplitude and frequency scaling that preserves, by construction, the physical properties of the system, such as causality, stability and passivity. For a specified combination of the design parameters, a rational CVF model is derived that can be simulated by a wide range of ordinary differential equation (ODE) solvers or circuit simulators. Additionally, time-domain simulations using the computed model can be performed at arbitrary optical carrier frequencies, thus allowing for the simulation of multi-wavelength systems. Two application examples are presented to demonstrate the flexibility and advantages of the proposed method.https://doi.org/10.1038/s41598-023-41227-w
spellingShingle Thijs Ullrick
Domenico Spina
Wim Bogaerts
Tom Dhaene
Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
Scientific Reports
title Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
title_full Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
title_fullStr Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
title_full_unstemmed Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
title_short Wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
title_sort wideband parametric baseband macromodeling of linear and passive photonic circuits via complex vector fitting
url https://doi.org/10.1038/s41598-023-41227-w
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