2010-12-15
Combination of Inverse Fast Fourier Transform and Modified Particle Swarm Optimization for Synthesis of Thinned Mutually Coupled Linear Array of Parallel Half-Wave Length Dipole Antennas
By
Progress In Electromagnetics Research M, Vol. 16, 105-115, 2011
Abstract
In this paper, the authors propose a method based on the combination of inverse fast Fourier transform (IFFT) and modified particle swarm optimization for side lobe reduction of a thinned mutually coupled linear array of parallel half-wave length dipole antennas with specified maximum return loss. The generated pattern is broadside (φ=90 degree) in the horizontal plane. Mutual coupling between the half-wave length parallel dipole antennas has been taken care of by induced emf method considering the current distribution on each dipole to be sinusoidal. Directivity, first null beamwidth (FNBW), return loss of the thinned array is also calculated and compared with a fully populated array. Two cases have been considered, one with symmetric excitation voltage distribution and the other with asymmetric one. The method uses the property that for a linear array with uniform element spacing, an inverse Fourier transform relationship exists between the array factor and the element excitations. Inverse Fast Fourier Transform is used to calculate the array factor, which in turn reduces the computation time significantly. The element pattern of half-wave length dipole antenna has been assumed omnidirectional in the horizontal plane. Two examples are presented to show the flexibility and effectiveness of the proposed approach.
Citation
Narendra Nath Pathak, Banani Basu, and Gautam Mahanti, "Combination of Inverse Fast Fourier Transform and Modified Particle Swarm Optimization for Synthesis of Thinned Mutually Coupled Linear Array of Parallel Half-Wave Length Dipole Antennas," Progress In Electromagnetics Research M, Vol. 16, 105-115, 2011.
doi:10.2528/PIERM10101003
References

1. Balanis, C. A., Antenna Theory: Analysis and Design, 2nd Ed., John Wiley and Sons (Asia), 2003.

2. Quevedo-Teruel, O. and E. Rajo-Iglesias, "Ant colony optimiza-tion in thinned array synthesis with minimum sidelobe level," IEEE Antennas and Wireless Propagation Letters, Vol. 5, 349-352, 2006.
doi:10.1109/LAWP.2006.880693        Google Scholar

3. Mahanti, G. K., N. Pathak, and P. Mahanti, "Synthesis of thinned linear antenna arrays with fixed sidelobe level using real-coded genetic algorithm," Progress In Electromagnetics Research, Vol. 75, 319-328, 2007.
doi:10.2528/PIER07061304        Google Scholar

4. Haupt, R. L., "Thinned arrays using genetic algorithms," IEEE Trans. Antennas Propag., Vol. 42, No. 7, 993-999, 1994.
doi:10.1109/8.299602        Google Scholar

5. Pathak, N., G. K. Mahanti, S. K. Singh, J. K. Mishra, and A. Chakraborty, "Synthesis of thinned planar circular array antennas using modified particle swarm optimization," Progress In Electromagnetics Research Letters, Vol. 12, 87-97, 2009.
doi:10.2528/PIERL09090606        Google Scholar

6. Razavi, A. and K. Forooraghi, "Thinned arrays using pattern search algorithms," Progress In Electromagnetics Research, Vol. 78, 61-71, 2008.
doi:10.2528/PIER07081501        Google Scholar

7. Bucci, O. M., T. Isernia, and A. F. Morabito, "A deterministic approach to the synthesis of pencil beams through planar thinned arrays," Progress In Electromagnetics Research, Vol. 101, 217-230, 2010.
doi:10.2528/PIER10010104        Google Scholar

8. Haupt , R. L., "Interleaved thinned linear arrays," IEEE Trans. Antennas Propag., Vol. 53, No. 9, 2858-2864, 2005.
doi:10.1109/TAP.2005.854522        Google Scholar

9. Schwartzman, L., "Element behavior in a thinned array," IEEE Trans. Antennas Propag., Vol. 15, No. 7, 571-572, 1967.
doi:10.1109/TAP.1967.1138989        Google Scholar

10. Kennedy, J. and and R. C. Eberhart, "Particle swarm optimization ," Proc. IEEE Int. Conf. Neural Networks, 1942-1948, 1995.
doi:10.1109/ICNN.1995.488968        Google Scholar

11. Li, W. T., X. W. Shi, and Y. Q. Hei, "An improved particle swarm optimization algorithm for pattern synthesis of phased arrays," Progress In Electromagnetics Research, Vol. 82, 319-332, 2008.
doi:10.2528/PIER08030904        Google Scholar

12. Jin, N., Y. Rahmat-Samii, and , "Advances in particle swarm optimization for antenna designs: Real-number, binary, single-objective and multiobjective implementations," IEEE Trans. Antennas Propag., Vol. 55, No. 3, 556-567, March 2007.
doi:10.1109/TAP.2007.891552        Google Scholar

13. Chen, T. B., Y. L. Dong, Y. C. Jiao, and F. S. Zhang, "Synthesis of circular antenna array using crossed particle swarm optimization algorithm," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1785-1795, 2006.
doi:10.1163/156939306779292273        Google Scholar

14. Wang, L. L., D. G. Fang, and W. X. Sheng, "Combination of genetic algorithm (GA) and fast Fourier transform (FFT) for synthesis of arrays," Microwave and Optical Technology Letters, Vol. 37, No. 1, 56-59, April 2003.
doi:10.1002/mop.10823        Google Scholar