Eigenvalues of integral operator of the singular integral equation for a thin tubular vibrator antenna


Cite item

Full Text

Abstract

The singular integral equation of a thin tubular vibrator is considered. This paper analyzed the dependence of the eigenvalues of the integral operator of the singular integral equation on the frequency and geometric dimensions of the vibrator with the determination of their asymptotic behavior at small lengths and small radii of the vibrator. It is shown that these dependences admit a simple polynomial approximation, and it is shown that an approximation in harmonic functions can be used for the eigenfunctions of an integral operator. Results can be used as the basis for constructing a approximate solutions of current on the tubular vibrator.

About the authors

D.P. Tabakov

Поволжский государственный университет телекоммуникаций и информатики

Author for correspondence.
Email: illuminator84@yandex.ru

A.G. Mayorov

Поволжский государственный университет телекоммуникаций и информатики

Email: andrey.mayorov.92@yandex.ru

References

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Tabakov D., Mayorov A.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

СМИ зарегистрировано Федеральной службой по надзору в сфере связи, информационных технологий и массовых коммуникаций (Роскомнадзор).
Регистрационный номер и дата принятия решения о регистрации СМИ: серия ФС 77 - 68199 от 27.12.2016.

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies