Evaluation of the Remainders of a Class of Series by Using Saddle-Point Method

Isik O., Köksal M. E., Uzer A.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.71, no.2, pp.2011-2015, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.1109/tap.2022.3217166
  • Journal Name: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.2011-2015
  • Keywords: Geometrical theory of diffraction (GTD), physical theory of diffraction (PTD), series (mathematics), uniform theory of diffraction (UTD), GEOMETRICAL-THEORY, SCATTERING
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

Remainders of various forms of series expressions of a function F(x), which arises frequently in the high-frequency solutions of electromagnetic wave radiation and scattering problems, are transformed into some integrals. Then, the saddle-point method is applied to those integrals to obtain accurate approximations for terminating the series expressions. The accuracy improvements are illustrated by numerical examples and graphs.