Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform

Fabrizio  Loreto; Giuseppe  Pettanice; Daniele  Romano; Martin Stumpf; Ioan Lager; Giulio  Antonini

doi:10.23919/EuMC54642.2022.9924277

Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform

Fabrizio Loreto, Giuseppe Pettanice, Daniele Romano, Martin Stumpf, Ioan Lager, Giulio Antonini

Electrical Engineering Education

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Abstract

Time-domain (TD) methods for the solution of Maxwell's equations are particularly appealing for their ability to provide the overall characteristics of an electrical system in a single simulation run. In many situations, such TD methods require computing the system's impulse response and using it in a convolution-based solver. In this work, we propose the evaluation of the scattering-parameters-type impulse response of partial element equivalent circuit (PEEC) models by firstly computing the scattering parameters pertaining to a unit-step excitation via the Numerical Inversion of Laplace Transform (NILT) technique, followed by recovering the corresponding impulse response. The accuracy and effectiveness of the advocated approach is validated by means of numerical experiments comparing its performance with that of more standard methods.

Original language	English
Title of host publication	Proceedings of the 52nd European Microwave Conference (EuMC)
Publisher	IEEE
Pages	452-455
Number of pages	4
ISBN (Electronic)	978-2-8748-7069-9
ISBN (Print)	978-1-6654-5881-8
DOIs	https://doi.org/10.23919/EuMC54642.2022.9924277
Publication status	Published - 2022
Event	2022 52nd European Microwave Conference (EuMC) - Milan, Italy Duration: 27 Sept 2022 → 29 Sept 2022

Publication series

Name	2022 52nd European Microwave Conference, EuMC 2022

Conference

Conference	2022 52nd European Microwave Conference (EuMC)
Country/Territory	Italy
City	Milan
Period	27/09/22 → 29/09/22

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Numerical Inversion of Laplace Transform
Partial Element Equivalent Circuit method
scattering parameters

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10.23919/EuMC54642.2022.9924277

Computation_of_Time_Domain_Scattering_Parameters_Through_the_Numerical_Inversion_of_the_Laplace_TransformFinal published version, 450 KB

https://ieeexplore.ieee.org/document/9924277

Cite this

Loreto, F., Pettanice, G., Romano, D., Stumpf, M., Lager, I., & Antonini, G. (2022). Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform. In Proceedings of the 52nd European Microwave Conference (EuMC) (pp. 452-455). (2022 52nd European Microwave Conference, EuMC 2022). IEEE. https://doi.org/10.23919/EuMC54642.2022.9924277

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title = "Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform",

abstract = "Time-domain (TD) methods for the solution of Maxwell's equations are particularly appealing for their ability to provide the overall characteristics of an electrical system in a single simulation run. In many situations, such TD methods require computing the system's impulse response and using it in a convolution-based solver. In this work, we propose the evaluation of the scattering-parameters-type impulse response of partial element equivalent circuit (PEEC) models by firstly computing the scattering parameters pertaining to a unit-step excitation via the Numerical Inversion of Laplace Transform (NILT) technique, followed by recovering the corresponding impulse response. The accuracy and effectiveness of the advocated approach is validated by means of numerical experiments comparing its performance with that of more standard methods.",

keywords = "Numerical Inversion of Laplace Transform, Partial Element Equivalent Circuit method, scattering parameters",

author = "Fabrizio Loreto and Giuseppe Pettanice and Daniele Romano and Martin Stumpf and Ioan Lager and Giulio Antonini",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; 2022 52nd European Microwave Conference (EuMC) ; Conference date: 27-09-2022 Through 29-09-2022",

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Loreto, F, Pettanice, G, Romano, D, Stumpf, M, Lager, I & Antonini, G 2022, Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform. in Proceedings of the 52nd European Microwave Conference (EuMC). 2022 52nd European Microwave Conference, EuMC 2022, IEEE, pp. 452-455, 2022 52nd European Microwave Conference (EuMC), Milan, Italy, 27/09/22. https://doi.org/10.23919/EuMC54642.2022.9924277

Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform. / Loreto, Fabrizio ; Pettanice, Giuseppe ; Romano, Daniele et al.
Proceedings of the 52nd European Microwave Conference (EuMC). IEEE, 2022. p. 452-455 (2022 52nd European Microwave Conference, EuMC 2022).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AU - Romano, Daniele

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AU - Lager, Ioan

AU - Antonini, Giulio

N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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N2 - Time-domain (TD) methods for the solution of Maxwell's equations are particularly appealing for their ability to provide the overall characteristics of an electrical system in a single simulation run. In many situations, such TD methods require computing the system's impulse response and using it in a convolution-based solver. In this work, we propose the evaluation of the scattering-parameters-type impulse response of partial element equivalent circuit (PEEC) models by firstly computing the scattering parameters pertaining to a unit-step excitation via the Numerical Inversion of Laplace Transform (NILT) technique, followed by recovering the corresponding impulse response. The accuracy and effectiveness of the advocated approach is validated by means of numerical experiments comparing its performance with that of more standard methods.

AB - Time-domain (TD) methods for the solution of Maxwell's equations are particularly appealing for their ability to provide the overall characteristics of an electrical system in a single simulation run. In many situations, such TD methods require computing the system's impulse response and using it in a convolution-based solver. In this work, we propose the evaluation of the scattering-parameters-type impulse response of partial element equivalent circuit (PEEC) models by firstly computing the scattering parameters pertaining to a unit-step excitation via the Numerical Inversion of Laplace Transform (NILT) technique, followed by recovering the corresponding impulse response. The accuracy and effectiveness of the advocated approach is validated by means of numerical experiments comparing its performance with that of more standard methods.

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Computation of Time Domain Scattering Parameters Through the Numerical Inversion of the Laplace Transform

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