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Design and Implementation of Dolph Chebyshev and Zolotarev Circular Antenna Array


  • School of Electronics Engineering, VIT University, Vellore - 632014, Tamil Nadu, India
  • BITS Pilani, Hyderabad - 500078, Telangana


Objectives: Uniform Circular Antenna arrays (UCAs) are most common in conformal antenna arrays with uniform excitation of elements. We targeted to design and synthesis UCAs with a high gain of >10 dB and a low sidelobe level of <20 dB. Methods: In this paper, the Uniform Circular Array (UCA) is presented with phase mode theory to extract the mode excitation using newly developed ARRAYTOOL. Along with phase modes, the magnitude distribution of elements is synthesized with Chebyshev and Zolotarev Polynomials whose resulting far-field patterns are desirable. Findings: It is observed that the Chebyshev and Zolotarev far-field pattern results a low sidelobe of 20 to 25 dB with fewer elements. It’s also observed that the elements spacing of more than λ/4 yields grating lobes with the visible region. This is one the design constrains for UCA with non-uniform excitation. Improvements: In comparison with uniformly excited UCAs, the Chebyshev and Zolotarev Polynomials show desirable radiation patterns with fewer elements. With sidelobe of less than 25 dB and minimum null points, the proposed microstrip array shows expected performance for RADAR system with high rotational symmetry.


Antenna Array Factor, Dolph Chebyshev, HPBW, Uniform Circular Array.

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  • Fenn AJ, Temme DH, Delaney WP, Courtney WE. The development of phased-array radar technology. Lincoln Laboratory Journal. 2000; 12(2):1–20.
  • Ares F, Mosig JF, Vaccaro S, Vassal'lo J, Moreno E. Satellite communication with moving vehicles on earth: Two prototype circular array antennas. Microwave and Optical Technology Letters. 2003 Oct; 39(1):14–6.
  • Rahim T, Davies D. Effect of directional elements on the directional response of circular antenna arrays. IEE Proceedings H Microwaves, Optics and Antennas. 1982 Feb; 129(1):18–22.
  • Circular array antenna principle for determining azimuth angle of radio transmitter. Available from:
  • Semi-circular antenna array for azimuth DOA estimation. Available from:
  • Chu TS. On the use of uniform circular arrays to obtain omnidirectional patterns. Investigative Reporters and Editors Transactions on Antennas and Propagation. 1959 Oct; 7:436–8.
  • Ram G, Mandal D, Kar R, Ghoshal SP. Design of non-uniform circular antenna arrays using firefly algorithm for side lobe level reduction. International Journal of Electrical, Computer, Electronics and Communication Engineering. 2014; 8(1):36–41.
  • Sector beam forming with uniform circular array antennas using phase mode transformation. Available from:
  • Chatterjee A, Mahanti G. Side lobe reduction of a uniformly excited concentric ring array antenna using evolutionary algorithms. ICTACT Journal on Communication Technology. 2010 Sep; 1:230–4.
  • Balanis CA. Antenna theory: Analysis and design. 3rd ed. New Jersey: John Wiley and Sons; 2005.
  • Knudsen HL. The field radiated by a ring quasi-array of an infinite number of tangential or radial dipoles. Investigative Reporters and Editors Proceedings. 1953 Jun; 41(6):781–9.
  • Knudsen HL. Radiation resistance and gain of homogeneous ring quasi-array. Investigative Reporters and Editors Proceedings. 1954 Apr; 42(4):686–95.
  • Knudsen HL. Radiation from ring quasi-arrays. IRE Transactions on Antennas and Propagation. 1956 Jul; 4(3):452–72.
  • Rahim T, Davies D. Effect of directional elements on the directional response of circular antenna arrays. IEE Proceedings H Microwaves, Optics and Antennas. 1982 Feb; 129(1):18–22.
  • Rahim T. Analysis of the element pattern shape for circular arrays. Electronics Letters. 1983 Sep; 19(20):838–40.
  • Josefsson L, Persson P. Conformal array antenna theory and design. New Jersy: John Wiley; 2006.
  • Davies D. A transformation between the phasing techniques required for linear and circular aerial arrays. Proceedings of the Institution of Electrical Engineers. 1965 Nov; 112(11):2041–5.
  • Malathi ACJ, Mohan KN. Effect of discretization on the azimuthal pattern of circular ring array. International Journal of Applied Engineering Research. 2014; 9(21):9365–74.
  • Design and analysis of linear, planar, circular array using Arraytool. Available from:
  • Arraytool: An open source python based package for array antenna analysis and design. Available from:
  • Fenby RG. Limitations on directional patterns of phase-compensated circular arrays. Radio and Electronic Engineer. 1965 Oct; 30(4):206–22.
  • James PW. Polar patterns of phase-corrected circular arrays. Proceedings of the Institution of Electrical Engineers. 1965 Oct; 112:1839–48.
  • Villeneuve A. Taylor patterns for discrete arrays. IEEE Transactions on Antennas and Propagation. 1984 Oct; 32:1089–93.
  • A dolph-chebyshev approach to the synthesis of array patterns for uniform circular arrays. Available from:
  • Null control for linear arrays by phase-only or amplitude only modification of the excitations, Available from:
  • Dolph C. A current distribution for broadside arrays which optimizes the relationship between beam width and side-lobe level. Proceedings of the Investigative Reporters and Editors. 1946 Jun; 34(6):335–48.
  • Price O, Hyneman R. Distribution functions for mono pulse antenna difference patterns. IRE Transactions on Antennas and Propagation. 1960 Dec; 8(6):567–76.
  • McNamara DA. Direct synthesis of optimum difference patterns for discrete linear arrays using Zolotarev distributions. IEE Proceedings of Microwaves, Antennas and Propagation. 1993 Dec; 140(6):495–500.


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