K.M. Sidorov1, S.P. Skobelev2

1,2 Moscow Institute of Physics and Technology (National Research University) (Dolgoprudny, Russia)

2 PJSC “Radiofizika” (Moscow, Russia)

1 sidorov.km@phystech.edu; 2 s.p.skobelev@mail.ru

A technique is proposed for determining of ideal element gain in a linear antenna array of traveling wave radiators designed for beam scanning in a specified limited sector of angles. The technique is based on the use of an ideal linear traveling wave radiator composed of elementary Huygens sources. An expression allowing calculation of the radiator gain at specified values of the radiator length and coefficient of slowing down is derived. Dependences of the optimal values for the coefficient of slowing down providing the radiator gain maximum in the axial direction and the length for the side of the appropriate effective area of square shape on the radiator length are calculated. The indicated characteristics are compared to the similar characteristics of a linear radiator with isotropic elementary sources known in the literature. An example of application of the ideal array element gain in an array of traveling wave radiators for determining efficiency of a helical element in an array with flat-topped element radiation pattern is given.

Sidorov K.M., Skobelev S.P. Ideal gain of a traveling wave radiator in a linear antenna array designed for beam scanning in a limited sector of angles. Radiotekhnika. 2025. V. 89. № 10. P. 39−44. DOI: https://doi.org/10.18127/j00338486-202510-04 (In Russian)

1. Hannan P.W. The element-gain paradox for a phased-array antenna. IEEE Transactions on Antennas and Propagation. 1964. V. 12. № 4. P. 423-433.
2. Амитей Н., Галиндо В., Ву Ч.-П. Теория и анализ фазированных антенных решеток. М.: Мир. 1974.
3. Kahn W.K. Ideal efficiency of a radiating element in an infinite array. IEEE Transactions on Antennas and Propagation. 1967. V. 15.
   № 4. P. 534-538.
4. Skobelev S.P. On the ideal element pattern in planar phased array antennas. Dig. of the 2003 IEEE AP-S Int. Symp. Columbus, OH. 2003. V. 2. P. 444-447. DOI: 10.1109/APS.2003.1219271.
5. Skobelev S.P. Nekotorye svojstva ideal'noj diagrammy napravlennosti jelementa v ploskih fazirovannyh antennyh reshetkah. Radiotehnika. 2007. T. 71. №4. S. 76-81 (in Russian).
6. Skobelev S.P. On the ideal gain of a radiating element in a planar array. Proc. of the 12th Internat. Conf. on Mathematical Methods in Electromagnetic Theory (MMET'08). Odessa. Ukraine. June 29 – July 2. 2008. P. 305-307. DOI: 10.1109/MMET.2008.4580976.
7. Skobelev S.P. Fazirovannye antennye reshetki s sektornymi parcial'nymi diagrammami napravlennosti. M.: Fizmatlit. 2010.
8. Vendik O.G. Sintez linejki izluchatelej s nemehanicheskim kachaniem lucha. Izvestija vuzov. Ser. Radiotehnika. 1960. T. 3. № 1. S. 77-86 (in Russian).
9. Sidorov K.M., Skobelev S.P. Shaping of flat-topped element patterns in arrays of coupled multimode waveguides of square cross section. Proc. of 2023 Radiation and Scattering of Electromagnetic Waves (RSEMW). Divnomorskoe. Russian Federation. 2023.
   P. 392-395. DOI: 10.1109/RSEMW58451.2023. 10201935.
10. Sidorov K.M., Skobelev S.P. Nekotorye rezul'taty primenenija spiral'nyh izluchatelej v linejnyh antennyh reshetkah dlja formirovanija stoloobraznyh diagramm napravlennosti. Pis'ma v ZhTF. 2025. T. 51. Vyp. 16. S. 6-10. DOI: 10.61011/PJTF.2025.16.60925.20260.
11. Huang Z., Sun Y, Bao Y, Liao S., Xue Q. Shaping flat-topped element patterns in linear arrays for limited-scan applications using interleaved directors. Accepted for publication in IEEE Transactions on Antennas and Propagation. DOI: 10.1109/TAP.2025.3583507.
12. Markov G.T., Sazonov D.M. Antenny. Izd. 2-e. M.: Jenergija. 1975 (in Russian).
13. Korn. G., Korn T. Spravochnik po matematike dlja nauchnyh rabotnikov i inzhenerov. Izd. 4-e. M.: Nauka. 1977 (in Russian).