On evaluation of the green function for periodic structures in layered media

IEEE Antennas and Wireless Propagation Letters

Volumn 3, Issue 1, 2004, Pages 133-136

  Wang, Daoxiang ^a,b   Yung, Edward K N ^b   Chen, R S ^a   Ding, D Z ^a   Tang, W C ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Ewald's method; Periodic green function; Shank transformation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ENERGY GAP; FINITE DIFFERENCE METHOD; GREEN'S FUNCTION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; METHOD OF MOMENTS; THICKNESS MEASUREMENT;

EWALD'S METHOD; PERIODIC GREEN FUNCTION; SHANK TRANSFORMATION; SPECTRAL SUMMATION;

ANTENNA ARRAYS;

EID: 11944249165     PISSN: 15361225     EISSN: None     Source Type: Journal    
DOI: 10.1109/LAWP.2004.831076     Document Type: Article

References (10)

1. R. Lame, P. Klock, and P. Mayes, "Integral transformations useful for the accelerated summation of periodic, free-space Green's functions," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 734-736, Aug. 1985.
2. 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. Antenna Propagat., vol. 38, pp. 1958-1962, Dec. 1990.
3. S. Singh and R. Singh, "Efficient computation of the free-space periodic Green's functions," IEEE Trans. Microwave Tech., vol. 39, pp. 1226-1229, July 1991.
4. K. E. Jordan, G. R. Richter, and P. Sheng, "An efficient numerical evaluation of the Green's functions for the Helmholtz operator on periodic structures," J. Comput. Phys., vol. 63, pp. 223-235, 1998.
5. V. G. Papaniicolaou, "Ewald's method revisted rapidly convergent series representations of certain Green's functions," J. Comput. Anal. Applicat., vol. 1, no. 1, pp. 105-114, 1999.
6. T. K. Sarkar and O. Pereira, "Using the matrix pencil method to estimate the parameters of a sum of complex exponentials," IEEE Antenna Propagat. Mag., vol. 37, pp. 48-55, Feb. 1995.
7. n) transformation," Math. Tables Aids Comput., vol. 10, no. 54, pp. 90-96, Apr. 1956.
8. K. A. Michalski and J. R. Mosig, "Multilayered media Green's functions in integral equation formulations," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 508-519, Mar. 1997.
9. G. P. M. Poppe and C. M. J. Wijers, "Algorithm 680-More efficient computation of the complex error function," ACM Trans. Math. Software, vol. 16, p. 47, 1990.
10. D. Shanks, "Non-linear transformations of divergent and slowly convergent sequences," J. Math. Phys., vol. 34, pp. 1-42, 1965.