V F Kravchenko1, V I Lutsenko2, I V Lutsenko2, I V Popov2, LUO Yi-yang3, A V Mazurenko3
(1. Kotel nikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Moscow 125009, Russia; 2. Usikov Institute of Radio Physics and Electronics of Natioanl Academy of Sciences of Ukraine, Kharkiv 61085, Ukraine; 3. Zhukovsky National Aerospace University-Kharkiv Aviation Institute, Kharkiv 61070, Ukraine)
Abstract： New methods of synthetizing nonequidistant sparse antenna arrays based on the properties of magic squares are studied. The methods of construction and algorithms of synthesis of two-dimensional antennas based on them providing a high degree of dilution and sufficiently small side radiation are proposed. The methods for construction of such antennas and their main characteristics are considered.
Key words： magic squares; nonequidistant sparse antenna arrays; two-dimensional antenna arrays
CLD number： TN820.1+5Document code： A
Article ID： 1674-8042（2017）03-0244-10 doi： 10.3969/j.issn.1674-80422017-03-006
References
［1］Kopilovich L E, Sodin L G. One-dimensional and two-dimensional nonequidistant antennas-arrays with low side lobe level. Working Paper #293, Institute for Radio Engineering Electronics, Kharkiv, Ukraine, 1986: 38.
［2］Zakson M B, Merkulov V V. Nonequidistant antenna arrays with randomly distributed elements. Radio Engenereeng and Electronics, 1965, 10(1): 7-13.
［3］Shifrin Ya S. Questions of statistical antenna theory. Soviet Radio, 1970: 383.
［4］Sodin L G. Statistical analysis of nonequidistant linear antennas-arrays. Radio Engenereeng and Electronics, 1966, 11(11): 1063-1959.
［5］Leeper D C. Thinned aperiodic antenna arrays with improved peak side lobe level control. USA Patent No. 4071848.31/01, 1978.
［6］Kopilovich L E, Sodin L G. Combinatorial methods in radio physics, astronomy and radio astronomy. Radiophysics and Radioastronomy, 1996, 1(1): 61-70.
［7］Kopilovich L E, Sodin L G. Linear non-equidistant antenna arrays∥Multielement system design in astronomy and radio science―part of the Astrophysics and Space Science Library book series, 2001, 268: 77-96.
［8］Kopilovich L E. Nonredundant configurations of elements on the square and hexagonal arrays of large size. Radiophysics and Electronics, 2014, 5(19), (1): 80-84.
［9］Kopilovich L E. Empirical estimation of the maximum number of elements having non-redundant configuration on a square antenna array. Radiophysics and Radioastronomy, 2009, 14(2): 183-188.
［10］Kopilovich L E. Nonredundant antenna configurations on the two-dimensional aperture of the interferometer, giving complete coverage of the central areas in the spatial-frequency plane. Radiophysics and Radioastronomy, 2012, 17(2): 1176-1182.
［11］Kopilovich L E, Sodin L G. Multielement system design in astronomy and radio science. Netherlands: Springer, 2001: 268.
［12］Zelkin E G, Kravchenko V F, Gusevskiy V I. Constructive methods of approximation in antenna theory. Sciense Press, 2005: 512.
［13］Lutsenko V I, Lutsenko I V, Popov I V, et al. Using the properties of magic squares for aperture synthesis. In: Proceedings of the 8th International Conference on Optical-acoustic and radar measurement techniques and data processing, Suzdal, Russia, 2015: 215-219.
［14］Lutsenko V I, Popov I V, Lutsenko I V, et al. Nonequidistant two-dimensional antenna arrays are based on magic squares. In: Proceedings of the International Kharkov Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves, Kharkov, Ukraine, 2016.
［15］Makarova N V. Squares of Franklin.［2016-05-06］. http:∥www.twirpx.com/file/968360/.
［16］Makarova N V. Magic world of magic squares. ［2016-05-06］. https:∥yadi.sk/d/ehakEzv6s5TzG.
基于幻方的非等距二维天线阵列
V F Kravchenko1, V I Lutsenko2, I V Lutsenko2, I V Popov2, LUO Yi-yang3, A V Mazurenko3
（1. 俄罗斯科学院 无线电工程与电子研究所， 莫斯科 125009；2. 乌克兰科学院 无线电物理学与电子研究所， 哈尔科夫 61085；3. 茹科夫国立航空航天大学 哈尔科夫航空学院 ， 哈尔科夫 61070）
摘要:研究了基于幻方属性的非等距稀疏天线阵列。提出了二维天线合成算法，该方法可以提供高的定位精度和足够小的侧面辐射。同时，研究了这种天线的构造方法及其主要特点。
关键词:魔术方格; 非等距稀疏阵列天线;二维天线阵列
引用格式：Kravchenko V F, Lutsenko V I, Lutsenko I V, et al. Nonequidistant two-dimensional antenna arrays based on magic squares. Journal of Measurement Science and Instrumentation, 2017, 8(3)： 244-253. ［doi： 10.3969／j.issn.1674-8042.2017-03-06］
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