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IEEE Transactions on Antennas and Propagation
Volume 47 Number 1, January 1999

Table of Contents for this issue

Complete paper in PDF format

Efficient Wide-Band Evaluation of Mobile Communications Antennas Using [Z] or [Y] Matrix Interpolation with the Method of Moments

Kathleen L. Virga, Senior Member, IEEE, and Yahya Rahmat-Samii, Fellow, IEEE

Page 65.

Abstract:

The development of novel antennas for mobile communications often relies on performance simulations. The evaluation of the antenna surface currents for many frequencies using the method of moments (MoM) can take a long time since the impedance matrix must be computed for each new frequency. This paper investigates and compares two efficient methods for the computation of the broad-band performance of mobile communications antennas using frequency interpolation of either the MoM impedance matrix [Z] or admittance matrix [Y]. In either method, the elements of only a few matrices at relatively large frequency intervals are directly computed. These matrices are then used to interpolate the elements of the respective [Z] or [Y] matrices at the intermediate frequencies. Both methods reduce the time it takes to compute the antenna performance over a wide frequency band. The implementation of each method to evaluate the performance of several different antennas used for mobile communications is discussed. Examples with both frequency-domain and time-domain results are presented and both near-field and far-field quantities are considered. The accuracy, the simulation run times, and the computational requirements of direct MoM, [Z] matrix interpolation, and [Y] matrix interpolation are compared.

References

  1. M. A. Jensen and Y. Rahmat-Samii, "Performance analysis of antennas for hand-held transceivers using FDTD," IEEE Trans. Antennas Propagat., vol. 42, pp. 1106-1113, Aug. 1994.
  2. Y. Rahmat-Samii and M. A. Jensen, "Characterization of antennas for personal wireless communications applications," Int. J. Wireless Inform. Networks, vol. 1, pp. 165-175, 1994.
  3. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, pp. 409-418, May 1982.
  4. S.-U. Wu and D. R. Wilton, "Electromagnetic scattering and radiation by arbitrary configurations of conducting bodies and wires," Tech. Document 1325, Appl. Electromagn. Lab., Dept. Elect. Eng., Univ. Houston, TX, Aug. 1988.
  5. R. E. Hodges and Y. Rahmat-Samii, "An iterative current-based hybrid method for complex structures," IEEE Trans. Antennas Propagat., vol. 45, pp. 265-276, Feb. 1997.
  6. J. S. Colburn and Y. Rahmat-Samii, "Evaluation of personal communications dual-antenna handset diversity performance," IEEE Trans. Veh. Technol., vol. 47, pp. 737-746, Aug. 1998
  7. T. K Sarkar, K. R. Siarkiewicz, and R. F. Stratton, "Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems," IEEE Trans. Antennas Propagat., vol. AP-29, pp. 847-856, Nov. 1981.
  8. F. X. Canning, "Direct solution of the EFIE with half the computation," IEEE Trans. Antennas Propagat., vol. 39, pp. 118-119, Jan. 1991.
  9. G. F. Herrmann, "Note on interpolational basis functions in the method of moments," IEEE Trans. Antennas Propagat., vol. 38, pp. 134-137, Jan. 1990.
  10. T. W. Nuteson, K. Naishadham, and R. Mittra, "Spatial interpolation of the moment matrix in electromagnetic scattering and radiation problems," in IEEE Antennas Propagat. Soc. Int. Symp. Dig., Ann Arbor, MI, June 1993, pp. 860-863.
  11. G. Vecchi, P. Pirinoli, L. Matekovits, and M. Orefice, "Reduction of the filling time of method of moments matrices," in 11th Annu. Rev. Progress Appl. Computat. Electromagn., Monterey, CA, Mar. 1995, pp. 600-605.
  12. G. J. Burke, E. K. Miller, S. Chakrabarti, and K. Demarest, "Using model-based parameter estimation to increase the efficiency of computing electromagnetic transfer functions," IEEE Trans. Magn., vol. 25, pp. 2807-2809, July 1989.
  13. K. Kottapalli, T. K. Sarkar, Y. Hua, E. K. Miller, and G. J. Burke, "Accurate computation of wide-band response of electromagnetic systems utilizing narrow-band information," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 682-687, Apr. 1991.
  14. E. H. Newman and D. Forrai, "Scattering from a microstrip patch," IEEE Trans. Antennas Propagat., vol. AP-35, pp. 245-251, Mar. 1987.
  15. E. H. Newman, "Generation of wide-band data from the method of moments by interpolating the impedance matrix," IEEE Trans. Antennas Propagat., 36, pp. 1820-1824, Dec. 1988.
  16. A. F. Peterson,"Higher-order surface patch basis functions for EFIE formulations," in IEEE Antennas Propagat. Soc. Int. Symp. Dig., Seattle, WA, June 1994, pp. 2162-2165.
  17. D. R. Wilton, "Review of current status and trends in the use of integral equations in computational electromagnetics," Electromagn., vol. 12, pp. 287-341, 1992.
  18. K. L. Virga and Y. Rahmat-Samii, "Generation of wideband antenna performance by [Z] and [Y] matrix interpolation in the method of moments," in Ultra-Wideband Short Pulse Electromagnetics III.New York: Plenum, 1996.
  19. R. L. Burden and J. D. Faires, Numerical Analysis, 5th ed.Boston, MA: PWS-Kent, 1988, ch. 8.
  20. T. Taga and K. Tsunekawa, "Performance analysis of a built-in inverted F antenna for 800 Mhz band portable radio units," IEEE J. Select. Areas Commun., vol. SAC-5, pp. 921-929, June 1983.
  21. K. Hirasawa and M. Haneishi, Analysis, Design and Measurement of Small Low Profile Antennas.Norwood, MA: Artech House, 1992.
  22. K. Virga and Y. Rahmat-Samii, "Low-profile enhanced-bandwidth PIFA antennas for wireless communications packaging," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 1879-1888, Oct. 1997.
  23. J. D. Kraus, Antennas.New York: McGraw-Hill, 1988.
  24. G. J. Burke and A. J. Poggio, "Computer Analysis of the Bottom-Fed Fan Antenna," UCRL-52109, Lawrence Livermore Lab., Univ. California, Livermore, Aug. 1976.
  25. J. J. Dongarra, Linpack User's Guide.Philadephia, PA: Soc. Indust. Appl. Math., 1979.