1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 47 Number 5, May 1999

Table of Contents for this issue

Complete paper in PDF format

Efficient Computation of the Two-Dimensional Periodic Green's Function

Glen S. Wallinga, E. J. Rothwell, Senior Member, IEEE, K. M. Chen, Fellow, IEEE, and D. P. Nyquist, Fellow, IEEE

Page 895.

Abstract:

An efficient scheme is introduced for computing the two-dimensional periodic Green's function. By using Kummer's method to accelerate the Hankel function series, accurate results can be rapidly obtained when the source and field points coincide in the vertical direction. Unlike with the integral acceleration form, convergence of the series is maintained when the source and field points differ horizontally by a complete period.

References

  1. J. A. Kong, Electromagnetic Wave Theory.New York: Wiley, 1990.
  2. M. E. Veysoglu, Y. Ha, R. T. Shin, and J. A. Kong, "Polarimetric passive remote sensing of periodic surfaces," J. Electromagn. Waves Applicat., vol. 5, no. 3, pp. 267-280, 1991.
  3. S. Singh, W. F. Richards, J. R. Zinecker, and D. R. Wilton, "Accelerating the convergence of series representing the free-space periodic Green's function," IEEE Trans. Antennas Propagat., vol. 38, pp. 1958-1962, Dec. 1990.
  4. M. Abramowitz and I. A. Stegun, Eds., Handbook of Mathematical Functions.New York: Dover, 1965.
  5. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series and Products.New York: Academic, 1980.
  6. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN, 2nd ed.Cambridge, MA: Cambridge Univ. Press, 1992.