Publication detail

Evaluation of Convolution Integrals at Late-Times Revisited

LAGER, I. ŠTUMPF, M. VANDENBOSCH, G. ANTONINI, G.

Original Title

Evaluation of Convolution Integrals at Late-Times Revisited

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

Time convolution; Green's function methods; electromagnetics; late-time behavior; numerical analysis; polynomial approximation

Authors

LAGER, I.; ŠTUMPF, M.; VANDENBOSCH, G.; ANTONINI, G.

Released

25. 4. 2022

Publisher

IEEE Antennas and Propagation Society

Location

Piscataway, NJ, USA

ISBN

1558-2221

Periodical

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

Year of study

70

Number

10

State

United States of America

Pages from

9953

Pages to

9958

Pages count

6

URL

https://ieeexplore.ieee.org/document/9762628

BibTex

@article{BUT180043,
  author="LAGER, I. and ŠTUMPF, M. and VANDENBOSCH, G. and ANTONINI, G.",
  title="Evaluation of Convolution Integrals at Late-Times Revisited",
  journal="IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION",
  year="2022",
  volume="70",
  number="10",
  pages="9953--9958",
  doi="10.1109/TAP.2022.3168347",
  issn="1558-2221",
  url="https://ieeexplore.ieee.org/document/9762628"
}