Communications: Accelerating the Convergence of Series Representing the Free Space Periodic Green's Function

IEEE Transactions on Antennas and Propagation

Volumn 38, Issue 12, 1990, Pages 1958-1962

  Singh, Surendra ^a   Richards, William F ^b   Zinecker, Joseph R ^b   Wilton, Donald R ^b  

^a UNIVERSITY OF MISSISSIPPI   (United States)

^b UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED ANALYSIS; MATHEMATICAL TRANSFORMATIONS;

CONVERGENT SERIES; FREE SPACE PERIODIC GREENS FUNCTION; KUMMERS TRANSFORMATION; POISSON TRANSFORMATION; SHANKS TRANSFORM;

MATHEMATICAL TECHNIQUES;

EID: 0025673265     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.60985     Document Type: Article

References (8)

1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York: Dover, 1965.
2. W. F. Richards, “The Green's function for an infinite periodic array of transverse dyadic dipoles in free space,” personal notes, July 1982.
3. J. R. Zinecker, “Efficient computation of Green's functions for periodic structures,” Master's thesis, Dept. Elec. Eng., Univ. Houston, Houston, TX, 1985.
4. R. Bracewell, The Fourier Transform and Its Applications, 2nd ed. New York: McGraw-Hill, 1978.
5. D. Shanks, “Nonlinear transformations of divergent and slowly convergent sequences,” J. Math. Phys., vol. 34, pp. 1-42, 1955.
6. P. Wynn, “On a device for computing the em‘Sn’ transformation,” Math. Tables Aids to Comp., vol. 10, pp. 91-96, 1956.
7. B. A. Munk and G. A. Burrell, “Plane-wave expansion of arrays of arbitrarily oriented piecewise linear elements and its application to determining the impedance of a single linear antenna in a lossy halfspace,” IEEE Trans. Antennas Propagat., vol. AP-27, pp. 331-343, May 1979.
8. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers. New York: McGraw-Hill, 1978.