Fast analysis of large antenna arrays using the characteristic basis function method and the adaptive cross approximation algorithm

IEEE Transactions on Antennas and Propagation

Volumn 56, Issue 11, 2008, Pages 3440-3451

  Maaskant, Rob ^a   Mittra, Raj M ^b   Tijhuis, Anton ^c  

^a ASTRON   (Netherlands)

^b The Pennsylvania State University   (United States)

^c EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Adaptive cross approximation (ACA); Characteristic basis function method (CBFM); Finite arrays; Integral equation techniques; Macro basis functions

Indexed keywords

ADAPTIVE ALGORITHMS; ADHESIVE JOINTS; ANTENNA ARRAYS; ANTENNAS; APPROXIMATION ALGORITHMS; DATA STORAGE EQUIPMENT; POLYNOMIAL APPROXIMATION; PROBABILITY DENSITY FUNCTION; SLOT ANTENNAS; TWO DIMENSIONAL;

ADAPTIVE CROSS APPROXIMATION (ACA); ADAPTIVE CROSS APPROXIMATIONS; BASIS FUNCTIONS; CHARACTERISTIC BASIS FUNCTION METHOD (CBFM); CHARACTERISTIC BASIS FUNCTIONS; COMPUTATIONAL DOMAINS; CONVENTIONAL METHODS; EDGE CONDITIONS; FINITE ARRAYS; LARGE ANTENNAS; MATRIX EQUATIONS; NOVEL SCHEMES; NUMERICAL EXAMPLES; ORDERS OF MAGNITUDES; REDUCED MEMORIES; SUB DOMAINS; SURFACE CURRENTS; TAPERED SLOT ANTENNAS;

ADAPTIVE ANTENNA ARRAYS;

EID: 57149135073     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2008.2005471     Document Type: Article

References (36)

1. A. Neto, S. Maci, G. Vecchi, and M. Sabbadini, "A truncated Floquet wave diffraction method for the full wave analysis of large phased arrays - Part II: Generalization to 3-D cases," IEEE Trans. Antennas Propag., vol. 48, no. 3, pp. 601-611, Mar. 2000.
2. C. Craeye, A. G. Tijhuis, and D. H. Schaubert, "An efficient MoM formulation for finite-by-infinite arrays of two-dimensional antennas arranged in a three-dimensional structure," IEEE Trans. Antennas Propag., vol. 51, no. 9, pp. 2054-2056, Sep. 2003.
3. A. K. Skrivervik and J. R. Mosig, "Analysis of finite phased arrays of microstrip patches," IEEE Trans. Antennas Propag., vol. 41, no. 9, pp. 1105-1114, Aug. 1993.
4. B. Tomasic and A. Hessel, "Analysis of finite arrays - A new approach," IEEE Trans. Antennas Propag., vol. 47, no. 3, pp. 555-564, Mar. 1999.
5. O. A. Çivi, P. H. Pathak, H.-T. Chou, and P. Nepa, "A hybrid uniform geometrical theory of diffraction - Moment method for efficient analysis of electromagnetic radiation/scattering from large finite planar arrays," Radio Sci., vol. 35, no. 2, pp. 607-620, Mar. 2000.
6. R. D. Graglia and G. Lombardi, "Singular higher order complete vector bases for finite methods," IEEE Trans. Antennas Propag., vol. 52, no. 7, pp. 1672-1685, Jul. 2004.
7. G. A. E. Vandenbosch and A. R. Van de Cappelle, "Use of combined expansion scheme to analyze microstrip antennas with the method of moments," Radio Sci., vol. 27, pp. 911-916, Nov./Dec. 1992.
8. J. Heinstadt, "New approximation technique for current distribution in microstrip array antennas," Microw. Opt. Technol., vol. 29, pp. 1809-1810, Oct. 1993.
9. G. A. E. Vandenbosch and F. J. Demuynck, "The expansion wave concept - Part II: A new way to model mutual coupling in microstrip arrays," IEEE Trans. Antennas Propag., vol. 46, no. 3, pp. 407-413, Mar. 1998.
10. V. Prakash and R. Mittra, "Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations," Microw. Opt. Technol., vol. 36, pp. 95-100, Jan. 2003.
11. R. Maaskant, R. Mittra, and A. G. Tijhuis, "Application of trapezoidal-shaped characteristic basis functions to arrays of electrically interconnected antenna elements," presented at the Int. Conf. Electromagn. Adv. Applicat. (ICEAA), Torino, Sep. 2007.
12. J. Yeo, V. Prakash, and R. Mittra, "Efficient analysis of a class of microstrip antennas using the characteristic basis function method (CBFM)," Microw. Opt. Technol., vol. 39, pp. 456-464, Dec. 2003.
13. R. Mittra, J.-F. Ma, E. Lucente, and A. Monorchio, "CBMOM-an iteration free MoM approach for solving large multiscale EM radiation and scattering problems," in IEEE AP-S Int. Symp., Washington DC, Jul. 2005, vol. 2B, pp. 2-5.
14. G. Tiberi, A. Monorchio, G. Manara, and R. Mittra, "Hybridizing asymptotic and numerically rigorous techniques for solving electromagnetic scattering problems using the characteristic basis functions (CBFs)," presented at the IEEE AP-S Int. Symp. USNC/URSI Meeting, Columbus, OH, Jun. 22-27, 2003.
15. L. Matekovits, V. A. Laza, and G. Vecchi, "Analysis of large complex structures with the synthetic-functions approach," IEEE Trans. Antennas Propag., vol. 55, no. 9, pp. 2509-2521, Sep. 2007.
16. L. Matekovits, G. Vecchi, G. Dassano, and M. Orefice, "Synthetic function analysis of large printed structures: The solution space sampling approach," in Proc. IEEE AP-S Int. Symp., Boston, MA, Jul. 2001, pp. 568-571.
17. W. B. Lu, T. J. Cui, Z. G. Qian, X. X. Yin, and W. Hong, "Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method," IEEE Trans. Antennas Propag., vol. 52, no. 11, pp. 3078-3085, Nov. 2004.
18. D. J. Bekers, S. J. L. van Eijndhoven, A. A. F. van de Ven, P. p. Borsboom, and A. G. Tijhuis, "Eigencurrent analysis of resonant behavior in finite antenna arrays," IEEE Trans. Microw. Theory Techn., vol. 54, no. 6, pp. 2821-2829, Jun. 2006.
19. E. Suter and J. R. Mosig, "A subdomain multilevel approach for the efficient MoM analysis of large planar antennas," Microw. Opt. Technol., vol. 26, no. 4, pp. 270-277, Aug. 2000.
20. C. Craeye, "A fast impedance and pattern computation scheme for finite antenna arrays," IEEE Trans. Antennas Propag., vol. 54, no. 10, pp. 3030-3034, Oct. 2006.
21. E. Garcia, C. Delgado, F. S. d. Adana, F. Cátedra, and R. Mittra, "Incorporating the multilevel fast multipole method into the characteristic basis function method to solve large scattering and radiation problems," in Proc. IEEE AP-S Int. Symp., Honululu, HI, Jun. 2007, pp. 1285-1288.
22. I. Stevanovic and J. R. Mosig, "Subdomain multilevel approach with fast MBF interactions," in IEEE AP-S Int. Symp., Monterey, CA, Jun. 2004, pp. 367-370.
23. M. Bebendorf, "Approximation of boundary element matrices," Numer. Math., vol. 86, no. 4, Jun. 2000.
24. K. Zhao, M. N. Vouvakis, and J. F. Lee, "The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems," IEEE Trans. EMC, vol. 47, no. 4, pp. 763-773, Nov. 2005.
25. S. Kurz, O. Rain, and S. Rjasanow, "The adaptive cross-approximation technique for the 3-D boundary-element method," IEEE Trans. Magn. vol. 38, pp. 421-424, Mar. 2002.
26. P. D. Vita, A. Freni, L. Matekovits, P. Pirinoli, and G. Vecchi, "A combined AIM-SFX approach for large complex arrays," in Proc. IEEE AP-S Int. Symp., Honulolu, HI, Jun. 2007, pp. 3452-3455.
27. E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Sci., vol. 31, no. 5, pp. 1225-1251, 1996.
28. S. Rao, D. Wilton, and A. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. 30, no. 3, pp. 409-418, May 1982.
29. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins, 1996.
30. R. F. Harrington, Field Computations by Moment Methods. New York: Macmillan, 1986.
31. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
32. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical recipes - The art of scientific computing, 3rd ed. Cambridge, U.K.: Cambridge University Press, 1988.
33. P. J. Hall, "The Square Kilometre Array: An Engineering Perspective," in Reprinted From Experimental Astronomy. Berlin, Germany: Springer, 2004-2005, vol. 17.
34. A. van Ardenne, P. N. Wilkinson, P. D. Patel, and J. G. B. de Vaate, Electronic Multi-Beam Radio Astronomy Concept, 3rd ed. Cambridge, U.K.: Cambridge Univ. Press, 1988, pp. 65-77.
35. M. V. Ivashina, J. Simons, and J. G. de Van bij, Efficiency Analysis of Focal Plane Arrays in Deep Dishes, 3rd ed. Cambridge, U.K.: Cambridge Univ.y Press, 1988, pp. 149-162.
36. R. Maaskant, R. Mittra, and W. van Cappellen, "Efficient numerical analysis of prototype antennas for the square kilometer array (SKA) using the characteristic basis function method (CBFM)," presented at the IEEE AP-S Int. Symp. USNC/URSI Meeting, Albuquerque, NM, Jul. 9-14, 2006.