Title
Evaluation of Convolution Integrals at Late-times Revisited
Author
Lager, I.E. (TU Delft Electrical Engineering Education) 
Stumpf, Martin (Brno University of Technology)
Vandenbosch, Guy A.E. (Katholieke Universiteit Leuven)
Antonini, Giulio (University of L’Aquila)
Date
2022
Abstract
The late-time evaluation of electromagnetic (EM) field quantities yielded by convolution integrals that combine Green's functions available at discrete time samples and strictly causal excitations is critically revisited. A typical situation is used for tracing the causes of the divergent late-time behavior that is often experienced. A framework combining a suitable integral partitioning with a polynomial approximation is shown to effectively guarantee the integrals' convergence. The formulation is validated via numerical experiments evidencing its accuracy and computational efficacy. The method is amenable to be used in a wide range of problems requiring the late-time evaluation of convolution integrals of the indicated type.
Subject
Convolution
numerical analysis
polynomial approximation
To reference this document use:
http://resolver.tudelft.nl/uuid:4acbb9dc-77cc-47ee-bdb3-c31bb83c7d0a
DOI
https://doi.org/10.1109/TAP.2022.3168347
Embargo date
2023-07-01
ISSN
0018-926X
Source
IEEE Transactions on Antennas and Propagation, 70 (10), 9953-9958
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.
Part of collection
Institutional Repository
Document type
journal article
Rights
© 2022 I.E. Lager, Martin Stumpf, Guy A.E. Vandenbosch, Giulio Antonini