Generalized analytical technique for the synthesis of unequally spaced arrays with linear, planar, cylindrical or spherical geometry

IEEE Transactions on Antennas and Propagation

Volumn 53, Issue 2, 2005, Pages 621-634

  Kumar, B P ^a   Branner, G R ^b  

^a CALIFORNIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Array; Cylindrical; Linear; Optimization; Planar; Spacing; Spherical

Indexed keywords

ANTENNA LOBES; BESSEL FUNCTIONS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; COSINE TRANSFORMS; DIRECTIONAL PATTERNS (ANTENNA); FOURIER TRANSFORMS; GENETIC ALGORITHMS; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; VECTORS;

ANTENNA ARRAY SYNTHESIS; ARRAY GEOMETRIES; LEGENDRE FUNCTION; NONLINEAR OPTIMIZATION;

ANTENNA ARRAYS;

EID: 13944271868     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2004.841324     Document Type: Article

References (21)

1. H. Unz, "Linear arrays with arbitrarily distributed elements," [i#IIEEE Trans. Antennas Propag.#1i], vol. AP-8, no. 2, pp. 222-223, Mar. 1960.
2. R. F. Harrington, "Sidelobe reduction by nonuniform element spacing," [i#IEEE Trans. Antennas Propag.#1i], vol. 9, no. 2, p. 187, Mar. 1961.
3. M. G. Andreasan, "Linear arrays with variable inter-element spacings," [i#IEEE Trans. Antennas Propag.#1i], vol. 10, no. 2, pp. 137-143, Mar. 1962.
4. A. Ishimaru, "Theory of unequally-spaced arrays," [i#IEEE Trans. Antennas Propag.#1i], vol. 11, no. 6, pp. 691-702, Nov. 1962.
5. E. K. Miller and D. M. Goodman, "A pole-zero modeling approach to linear array synthesis I. The unconstrained solution," [i#Radio Sci.#1i] vol. 18, pp. 57-69, Jan.-Feb. 1983.
6. Y. T. Lo and S. W. Lee, "A study of space-tapered arrays," [i#IEEE Trans. Antennas Propag.#1i], vol. 14, no. 1, pp. 22-30, Jan. 1966.
7. M. I. Skolnik, G. Nemhauser, and J. W. Sherman III, "Dynamic programming applied to unequally spaced arrays," [i#IEEE Trans. Antennas Propag.#1i], vol. 12, no. 1, pp. 35-43, Jan. 1964.
8. R. J. Mailloux and E. Cohen, "Statistically thinned arrays with quantized element weights," [i#IEEE Trans. Antennas Propag.#1i], vol. 39, no. 4, pp. 436-447, Apr. 1991.
9. R. L. Haupt, "Thinned arrays using genetic algorithms," [i#IEEE Trans. Antennas Propag.#1i], vol. 42, no. 7, pp. 993-999, Jul. 1994.
10. B. P. Kumar and G. R. Branner, "Design of unequally spaced arrays for performance improvement," [i#IEEE Trans. Antennas Propag. Special Issue on Phased Arrays#1i], vol. 47, no. 3, pp. 511-523, Mar. 1999.
11. J. A. Ferreira and F. Ares, "Radiation pattern synthesis for conformal antenna arrays," [i#J. Electromagn. Waves and Applicat.#1i], vol. 14, pp. 473-492, 2000.
12. G. P. Junker, S. S. Kuo, and C. H. Chen, "Genetic algorithm optimization of antenna arrays with variable inter-element spacings," in [i#Proc. IEEE Antennas and Propagation Soc. Int. Symp.#1i], Atlanta, GA, Jun. 1998, pp. 50-53.
13. B. P. Kumar and G. R. Branner, "Design of low sidelobe circular ring arrays by element radius optimization," in [i#Proc. IEEE Antennas and Propagation Soc. Int. Symp.#1i], Orlando, FL, July 1999, pp. 2032-2035.
14. C. Yu, "Sidelobe reduction of asymmetric linear array by spacing perturbation," [i#Electron. Lett.#1i], vol. 33, no. 9, pp. 730-732, Apr. 1997.
15. B. P. Kumar and G. R. Branner, "The far field of a spherical array of point dipoles," [i#IEEE Trans. Antennas Propag.#1i], vol. 42, no. 4, pp. 473-477, Apr. 1994.
16. B. P. Kumar and G. R. Branner, "Near field analysis of spherical loop arrays," [i#IEEE Trans. Antennas Propag.#1i], vol. 44, no. 10, pp. 1428-1429, Oct. 1996.
17. B. P. Kumar and G. R. Branner, "Generalized analytical technique for the synthesis of unequally spaced arrays," presented at the Proc. Progress in Electromagnetics Research (PIERS) Conf., Boston, MA, Jul. 2000. (invited paper).
18. C. A. Balanis, [i#Antenna Theory: Analysis and Design#1i]. New York: Wiley, 1997, ch. 7.
19. [i#Handbook of Series for Scientists and Engineers#1i], pt. III, Academic Press, New York, NY, 1965.
20. I. S. Gradshteyn and I. M. Ryzhik, [i#Table of Integrals, Series, and Products#1i], 4th ed. New York: Academic Press, 1965. (prepared by Yu. V. Geronimus and M. Yu. Tseytlin.), translated from the Russian by Scripta Technika, Inc. Translation edited by Alan Jeffrey.
21. M. T. Ma, [i#Theory and Applications of Antenna Arrays#1i]. New York: Wiley, 1974.