Mathematical model of a flat spiral antenna with a rectangular grid reflector

D.P. Tabakov; M.A. Malakhov

doi:10.18127/j00338486-202311-07

Mathematical model of a flat spiral antenna with a rectangular grid reflector

research article UDC 621.396 Pages: 37-46 doi.org/10.18127/j00338486-202311-07

¹ Povolzhskiy State University of Telecommunications and Informatics (Samara, Russia)
² Samara State Technical University (Samara, Russia); JSC «Scientific Research Institute «EKRAN» (Samara, Russia)

Keywords: Spiral antennas miniaturization thin-wire approximation Fredholm integral equations of the first kind method of moments ill-posed problems

Abstract

A mathematical model of a modified flat spiral radiator with a uniform winding pitch located above a rectangular grid reflector is proposed. With the help of this model, internal and external problems of electrodynamics have been solved in a wide frequency band. The results of numerical simulation are presented. The influence of the reflector on the radiation characteristics of the structure and on the dependence of its input resistance on frequency is considered.

Received: 18.09.2023
Approved after review: 02.10.2023
Accepted: 23.10.2023

How to cite

Табаков Д.П., Малахов М.А. Математическая модель плоской спиральной антенны с прямоугольным сеточным рефлектором // Радиотехника. 2023. Т. 87. № 11. С. 37−46. DOI: https://doi.org/10.18127/j00338486-202311-07

References

Yurtsev O.A., Runov A.V., Kazarin A.N. Spiralnye antenny. M.: Sov radio. 1974. 223 s. (in Russian)
Sverkhshirokopolosnye antenny: Per. s angl.. Pod red. L.S. Benensona. M.: Mir. 1968. 416 s. (in Russian)
Ramsei V. Chastotno-nezavisimye antenny. M.: Mir. 1968. 176 s. (in Russian)
Mei K.K. On the integral Equations of Thin Wire Antennas. IEEE Trans. on Ant. and Prop. 1965. AP-13. P. 374−378.
Adekola S., Mowete A., Ayorinde A. Compact Theory of the Broadband Elliptical Helical Antenna. European Journal of Scientific Researsh. 2009. V. 31. № 3. P. 446−490. ISSN 1450-216X.
Dementev A.N., Klyuev D.S., Tabakov D.P. Elektrodinamicheskii analiz spiralnykh izluchatelei, raspolozhennykh na poverkhnosti ellipsoida. Doklady akademii nauk. 2017. T. 472. № 4. S. 393−397. (in Russian)
Tabakov D.P., Malakhov M.A. Issledovanie kharakteristik modifitsirovannogo ploskogo spiralnogo izluchatelya. Radiotekhnika. 2022. T. 86. № 11. S. 54−62. (in Russian)
Neganov V.A., Tabakov D.P., Filippov S.B. Matematicheskaya model dvuzakhodnoi konicheskoi spiralnoi antenny s tonkoprovolochnym reflektorom konechnykh razmerov. Fizika volnovykh protsessov i radiotekhnicheskie sistemy 2013. T. 16. № 4. S. 38−44. (in Russian)
Kapitonov V.A., Neganov V.A., Marsakov I.Yu., Tabakov D.P. Integralnoe predstavlenie elektromagnitnogo polya geometricheski kiralnoi struktury. Fizika volnovykh protsessov i radiotekhnicheskie sistemy. 2012. T. 15. № 4. S. 6−13. (in Russian)
Tabakov D.P. Tonkoprovolochnaya model fraktalnogo simmetrichnogo vibratora na osnove salfetki Serpinskogo. Radiotekhnika. 2015. № 2. S. 16−22. (in Russian)
Tabakov D.P., Morozov S.V., Klyuev D.S. Primenenie tonkoprovolochnogo integralnogo predstavleniya elektromagnitnogo polya k resheniyu zadachi difraktsii elektromagnitnykh voln na provodyashchikh telakh. Fizika volnovykh protsessov i radiotekhnicheskie sistemy 2022. T. 25. № 2. S. 7−14. (in Russian)
Strizhkov V.A. Matematicheskoe modelirovanie elektrodinamicheskikh protsessov v slozhnykh antennykh sistemakh. Matematicheskoe modelirovanie. T. 1. № 8. 1989 g. S. 127−138. (in Russian)
Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M. Chislennye metody. M.: BINOM. Laboratoriya znanii. 2008. (in Russian)

[1] Yurtsev O.A., Runov A.V., Kazarin A.N. Spiralnye antenny. M.: Sov radio. 1974. 223 s. (in Russian)

[2] Sverkhshirokopolosnye antenny: Per. s angl.. Pod red. L.S. Benensona. M.: Mir. 1968. 416 s. (in Russian)

[3] Ramsei V. Chastotno-nezavisimye antenny. M.: Mir. 1968. 176 s. (in Russian)

[4] Mei K.K. On the integral Equations of Thin Wire Antennas. IEEE Trans. on Ant. and Prop. 1965. AP-13. P. 374−378.

[5] Adekola S., Mowete A., Ayorinde A. Compact Theory of the Broadband Elliptical Helical Antenna. European Journal of Scientific Researsh. 2009. V. 31. № 3. P. 446−490. ISSN 1450-216X.

[6] Dementev A.N., Klyuev D.S., Tabakov D.P. Elektrodinamicheskii analiz spiralnykh izluchatelei, raspolozhennykh na poverkhnosti ellipsoida. Doklady akademii nauk. 2017. T. 472. № 4. S. 393−397. (in Russian)

[7] Tabakov D.P., Malakhov M.A. Issledovanie kharakteristik modifitsirovannogo ploskogo spiralnogo izluchatelya. Radiotekhnika. 2022. T. 86. № 11. S. 54−62. (in Russian)

[8] Neganov V.A., Tabakov D.P., Filippov S.B. Matematicheskaya model dvuzakhodnoi konicheskoi spiralnoi antenny s tonkoprovolochnym reflektorom konechnykh razmerov. Fizika volnovykh protsessov i radiotekhnicheskie sistemy 2013. T. 16. № 4. S. 38−44. (in Russian)

[9] Kapitonov V.A., Neganov V.A., Marsakov I.Yu., Tabakov D.P. Integralnoe predstavlenie elektromagnitnogo polya geometricheski kiralnoi struktury. Fizika volnovykh protsessov i radiotekhnicheskie sistemy. 2012. T. 15. № 4. S. 6−13. (in Russian)

[10] Tabakov D.P. Tonkoprovolochnaya model fraktalnogo simmetrichnogo vibratora na osnove salfetki Serpinskogo. Radiotekhnika. 2015. № 2. S. 16−22. (in Russian)

[11] Tabakov D.P., Morozov S.V., Klyuev D.S. Primenenie tonkoprovolochnogo integralnogo predstavleniya elektromagnitnogo polya k resheniyu zadachi difraktsii elektromagnitnykh voln na provodyashchikh telakh. Fizika volnovykh protsessov i radiotekhnicheskie sistemy 2022. T. 25. № 2. S. 7−14. (in Russian)

[12] Strizhkov V.A. Matematicheskoe modelirovanie elektrodinamicheskikh protsessov v slozhnykh antennykh sistemakh. Matematicheskoe modelirovanie. T. 1. № 8. 1989 g. S. 127−138. (in Russian)

[13] Bakhvalov N.S., Zhidkov N.P., Kobelkov G.M. Chislennye metody. M.: BINOM. Laboratoriya znanii. 2008. (in Russian)

Abstract

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