Optimization of thinned aperiodic linear phased arrays using genetic algorithms to reduce grating lobes during scanning

The scan volume of a thinned periodic linear phased array is proportional to the spacing between array elements. As the spacing between elements increases beyond a half wavelength, the scan range of the array will be significantly reduced due to the appearance of grating lobes. This paper investigates a method of creating thinned aperiodic linear phased arrays through the application of genetic algorithms that will suppress the grating lobes with increased steering angles. In addition, the genetic algorithm will place restrictions on the driving-point impedance of each element so that they are well behaved during scanning. A genetic algorithm approach is also introduced for the purpose of evolving an optimal set of matching networks. Finally, an efficient technique for evaluating the directivity of an aperiodic array of half-wave dipoles is developed for use in conjunction with genetic algorithms.

[1]  H. Unz,et al.  Linear Arrays with arbitrarily distributed elements , 1960 .

[2]  P. L. Werner,et al.  Closed-form representation for directivity of nonuniformly spaced linear arrays with arbitrary element patterns , 1999 .

[3]  Eric Michielssen,et al.  Genetic algorithm optimization applied to electromagnetics: a review , 1997 .

[4]  Byong Kun Chang,et al.  Minimax-maxmini algorithm: a new approach to optimization of the thinned antenna arrays , 1994, Proceedings of IEEE Antennas and Propagation Society International Symposium and URSI National Radio Science Meeting.

[5]  Y. T. Lo,et al.  Antenna Handbook: Theory, Applications, and Design , 1988 .

[6]  V. Murino,et al.  Stochastic optimization of linear sparse arrays , 1999 .

[7]  J. G. Elias,et al.  A generic algorithm for training networks with artificial dendritic trees , 1992, [Proceedings 1992] IJCNN International Joint Conference on Neural Networks.

[8]  Yahya Rahmat-Samii,et al.  Electromagnetic Optimization by Genetic Algorithms , 1999 .

[9]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

[10]  C. A. Meijer,et al.  Simulated annealing in the design of thinned arrays having low sidelobe levels , 1998, Proceedings of the 1998 South African Symposium on Communications and Signal Processing-COMSIG '98 (Cat. No. 98EX214).

[11]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[12]  C.H. Chen,et al.  Genetic algorithm optimization of antenna arrays with variable interelement spacings , 1998, IEEE Antennas and Propagation Society International Symposium. 1998 Digest. Antennas: Gateways to the Global Network. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.98CH36.

[13]  Hao Wang,et al.  Introduction to Genetic Algorithms in Electromagnetics , 1995 .

[14]  Randy L. Haupt Thinned arrays using genetic algorithms , 1994 .

[15]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .

[16]  D.J. O'Neill Element placement in thinned arrays using genetic algorithms , 1994, Proceedings of OCEANS'94.