Novel Mathematical Formulation of the Antenna Array Factor for Side Lobe Level Reduction
Keywords:
Antenna array, array factor, convolution, directivity, distance conversion, feeding currents, first null bandwidth, Fourier transform, hybridization, side lobeAbstract
In this article a new approach is used to improve the performance of antenna arrays. The antenna array performance is improved when its directivity is increased and its side lobes are decreased. To do this, a concept of array hybridization (mixing two distinct arrays) is presented and applied to uniform arrays to generate a new array for satisfying the requirement. Two new arrays are generated using the proposed principle. The first is obtained from two arrays with different number of elements (UUDNH). The second generated array is based on the use of two arrays with different spacing between their elements (UUDdH). The obtained arrays parameters (array factor, side lobe levels, directivity and excitation coefficients) are given in closed form expressions. Furthermore, performances of the proposed arrays exceed that of Tschebyscheff arrays with the same number of elements.
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References
C. A. Balanis, Antenna Theory: Analysis and Design. John Wiley & Sons, 2016.
S. J. Orfanidis, Electromagnetic Waves and Antennas. New Brunswick, NJ: Rutgers University, 2002.
A. Azrar, A. Chemsa, and R. Aksas, “Novel analysis and design approaches of the planar antenna arrays,” Annals of Telecommunication, vol. 62, no. 9-10, pp. 1053-1078, Oct. 2007.
G. Bipul and D. Mandal, “Nulls and side lobe levels control in a time modulated linear antenna array by optimizing excitations and element locations using RGA,” Journal of Microwaves, Optoelectronics and Electromagnetic Applications, vol. 12, no. 2, pp. 238-255, Dec. 2013.
A. Recioui and A. Azrar, “Use of genetic algorithms in linear and planar antenna array synthesis based on Schelkunoff method,” Microwave and Optical Technology Letters, vol. 49, no. 7,pp. 1619-1623, May 2007.
C. Liu and H. Wu, “Synthesis of thinned array with side lobe levels reduction using improved binary invasive weed optimization,” Progress In Electromagnetics Research M, vol. 37, pp. 21-30, June 2014.
V. Shreni and P. Raikwar, “Optimization of reduction in side lobe level using genetic algorithm,” International Journal of Emerging Technology and Advanced Engineering, vol. 2, no 12, Dec. 2012.
M. M. Khodier and C. G. Christodoulou, “Linear array geometry synthesis with minimum side lobe level and null control using particle swarm optimization,” IEEE Trans. Antennas Propag., vol. 53, pp. 2674-2679, Aug. 2005
D. W. Boeringer and D. H. Werner, “Particle swarm optimization versus genetic algorithms for phased array synthesis,” Antennas and Propagation, IEEE Transactions on, vol. 52, no. 3, pp. 771-779, Mar. 2004.
Alan V. Oppenheim A. S. Willsky, and S. H. Nawab, Signals and Systems. Pearson, 2014.


