D.P. Tabakov1, M.A. Malakhov2

1 Povolzhskiy State University of Telecommunications and Informatics (Samara, Russia)

2 Samara State Technical University (Samara, Russia)

2 JSC «Scientific Research Institute «EKRAN» (Samara, Russia)

1 illuminator@yandex.ru, 2 mm@niiekran.ru

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.

Tabakov D.P., Malakho M.A. Mathematical model of a flat spiral antenna with a rectangular grid reflector. Radioengineering. 2023. V. 87. № 11. P. 37−46. DOI: https://doi.org/10.18127/j00338486-202311-07 (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)