Preview

Title in english

Advanced search

Numerical-analytical method for calculating phased antenna arrays

https://doi.org/10.34680/2076-8052.2022.3(128).111-113

Abstract

A new, mathematically correct method of electrodynamic analysis of infinite antenna arrays is proposed. The method is based on the study of the properties of the Green's function of an infinite periodic array. At the first stage, the two-dimensional integral equation is reduced to a one-dimensional integral equation. Then, by isolating the main part, a continuously reversible operator, the structure of the equation is revealed. It is shown for the first time that the main operator is the same as in the problem of electrodynamic analysis of a unit radiator. A numerical-analytical method for calculating phased antenna arrays is proposed.

About the Authors

S. I. Eminov
Новгородский государственный университет имени Ярослава Мудрого
Russian Federation


A. V. Sochilin
Новгородский государственный университет имени Ярослава Мудрого
Russian Federation


References

1. Eminov S.I., Sochilin A.V. Chislenno-analiticheskiy metod resheniya integral'nykh uravneniy vibratornykh antenn [Numerical-analytical method for solving integral equations of vibrator antennas]. Radiotekhnika i elektronika, 2008, no. 5(53), pp.553–558.

2. Vasiliev E.N. Vozbuzhdeniye tel vrashcheniya [Excitation of bodies of revolution]. Moscow, Radio i svyaz' Publ., 1987. 272 p.

3. Vladimirov V.S. Uravneniya matematicheskoy fiziki [Equations of mathematical physics]. Moscow, Nauka Publ., 1981. 512 p.

4. Amitey N., Galindo V., Vu Ch. Teoriya i analiz fazirovannykh antennykh reshetok [Theory and analysis of phased antenna arrays]. Moscow, Mir Publ., 1974. 458 p.

5. Kudin V.P. Fazirovannaya antennaya reshetka iz konicheskikh vibratorov [Phased antenna array of conical vibrators]. Doklady BGUIR, 2005, no. 1, pp. 43–47.

6. Gradshtein I.S., Ryzhik I.M. Tablitsy integralov, summ, ryadov i proizvedeniy [Tables of integrals, sums, series and products]. Moscow, Fizmatlit Publ., 1963. 1100 p.

7. Kopachevsky N.D. Operatornyye metody matematicheskoy fiziki [Operator methods of mathematical physics]. Simferopol, LLC "Forma" Publ., 2008. 142 p.

8. Lifanov I.K., Nenashev A.S. Gipersingulyarnyye integral'nyye uravneniya i teoriya provolochnykh antenn [Hypersingular integral equations and the theory of wire antennas ]. Differentsial'nyye uravneniya — Differential Equations, 2005, no. 1(41), pp. 121–137.


Review

For citations:


Eminov S.I., Sochilin A.V. Numerical-analytical method for calculating phased antenna arrays. Title in english. 2022;(3(128)):111-113. (In Russ.) https://doi.org/10.34680/2076-8052.2022.3(128).111-113

Views: 45


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


ISSN 2076-8052 (Print)