Eigenvalues of integral operator of the singular integral equation for a thin tubular vibrator antenna
- Authors: Tabakov D.1, Mayorov A.1
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Affiliations:
- Поволжский государственный университет телекоммуникаций и информатики
- Issue: Vol 22, No 1 (2019)
- Pages: 26-31
- Section: Articles
- URL: https://journals.ssau.ru/pwp/article/view/6656
- DOI: https://doi.org/10.18469/1810-3189.2019.22.1.26-31
- ID: 6656
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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