Evaluation of Convolution Integrals at Late-times Revisited

Evaluation of Convolution Integrals at Late-times Revisited

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)

2022

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.

Convolution
numerical analysis
polynomial approximation

http://resolver.tudelft.nl/uuid:4acbb9dc-77cc-47ee-bdb3-c31bb83c7d0a

https://doi.org/10.1109/TAP.2022.3168347

2023-07-01

0018-926X

IEEE Transactions on Antennas and Propagation, 70 (10), 9953-9958

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.

Institutional Repository

journal article

© 2022 I.E. Lager, Martin Stumpf, Guy A.E. Vandenbosch, Giulio Antonini