Evaluation of Convolution Integrals at Late-times Revisited

Ioan E. Lager; Martin Stumpf; Guy A.E. Vandenbosch; Giulio  Antonini

doi:10.1109/TAP.2022.3168347

Evaluation of Convolution Integrals at Late-times Revisited

Ioan E. Lager, Martin Stumpf, Guy A.E. Vandenbosch, Giulio Antonini

Electrical Engineering Education

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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.

Original language	English
Article number	9762628
Pages (from-to)	9953-9958
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	70
Issue number	10
DOIs	https://doi.org/10.1109/TAP.2022.3168347
Publication status	Published - 2022

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

Convolution
numerical analysis
polynomial approximation

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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.",

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Evaluation of Convolution Integrals at Late-times Revisited

Abstract

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Keywords

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