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

Remainders of various forms of series expressions of a function [Formula Omitted], 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 ob...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2023-02, Vol.71 (2), p.2011-2015
Main Authors: Isik, Omer, Koksal, Mehmet Emir, Uzer, Ali
Format: Article
Language:English
Subjects:
Electromagnetic radiation
Integrals
Saddle points
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Summary:Remainders of various forms of series expressions of a function [Formula Omitted], 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.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2022.3217166