Exponentially converging Nyström's methods for systems of singular integral equations with applications to open/closed strip- or slot-loaded 2-D structures

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 5, 2006, Pages 1549-1558

  Tsalamengas, J L ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Integral equations; Integrodifferential equations; Nystr m method

Indexed keywords

INTEGRAL EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; MICROSTRIP ANTENNAS; SLOT ANTENNAS;

DISCRETIZATION PROCEDURES; FINITE SUMS; KERNELS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 33646522002     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.874348     Document Type: Article

References (20)

1. R. Kress, "Numerical solution of boundary integral equations in time-harmonic electromagnetic scattering," Electromagn., vol. 10, pp. 1-20, 1990.
2. L. F. Canino, J. J. Ottusch, M. A. Stalzer, J. L. Visher, and S. M. Wandzura, "Numerical solution of the Helmholtz equation in 2D and 3D using a high-order Nyström discretization," J. Comput. Phys., vol. 146, pp. 627-663, 1998.
3. J. L. Tsalamengas, "Direct singular integral equation methods in scattering and propagation in strip- or slot-loaded structures," IEEE Trans. Antennas Propag., vol. 46, no. 10, pp. 1560-1570, Oct. 1998.
4. M. Taroncher, A. Vidal, V. E. Voria-Esbert, S. Marini, S. Gogollos, J. Gil, and B. Gimeno, "CAD of complex passive devices composed of arbitrarily shaped waveguides using Nyström and BI-RME methods," IEEE Trans. Microw. Theory Tech., vol. 53, no. 6, pp. 2153-2163, Jun. 2005.
5. S. D. Gedney, "On deriving a locally corrected Nyström scheme from a quadradure sampled moment method," IEEE Trans. Antennas Propag., vol. 51, no. 9, pp. 2402-2412, 2003.
6. Z. T. Nazarchuk, "Singular integral equations in two-dimensional diffraction problems," in Math. Methods Electromagn. Theory, Proc. 3rd Int. School Seminal, Crimea, Ukraine, Apr. 1990.
7. R. Kress, Linear Integral Equations, Germany: Springer-Verlang, 1989.
8. J. L. Tsalamengas, "A parallel plate-fed slot antenna loaded by a dielectric semicylinder," IEEE Trans. Antennas Propag., vol. 44, pp. 1031-1040, Oct. 1996.
9. L. M. Delves and J. L. Mohamed, Computational Methods for Integral Equations. Cambridge, U.K.: Cambridge Univ. Press, 1992.
10. A. I. Nosich, "The method of analytical regularization," IEEE Antennas Propag. Mag., vol. 41, no. 3, pp. 34-49, 1999.
11. G. Fikioris, "A note on the method of analytical regularization," IEEE Antennas Propag. Mag., vol. 43, no. 2, pp. 34-40, 2001.
12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York: Dover, 1972.
13. S. Krenk, "On the use of the interpolation polynomial for solutions of singular integral equations," Quart. Appl. Math., vol. 33, pp. 479-483, Jan. 1975.
14. J. L. Tsalamengas and J. G. Fikioris, "Scattering of E-polarized waves from conducting strips in the presence of a magnetically uniaxial half-space - a singular integral equation approach," IEEE Trans. Antennas Propag., vol. 37, pp. 1265-1276, Oct. 1989.
15. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 4th ed. New York: Academic, 1965.
16. J. L. Tsalamengas, "Scattering of arbitrarily polarized plane waves obliquely incident on infinite slots or strips in a planar-stratified medium," IEEE Trans. Antennas Propag., vol. 46, no. 11, pp. 1634-1640, Nov. 1998.
17. J. L. Tsalamengas, "Rapidly converging direct singular integral-equation techniques in the analysis of open microstrip lines on layered substrates," IEEE Trans. Microw. Theory Tech., vol. MTT-49, no. 3, pp. 555-559, Mar. 2001.
18. C. M. Butler, "Current induced on a conducting strip which resides on the planar interface between two semi-infinite half-spaces," IEEE Trans. Antennas Propag., vol. 32, pp. 226-231, Mar. 1984.
19. L. A. Weinstein, The Theory of Diffraction and the Factorization Method. Boulder, CO: The Goldem Press, 1969.
20. R. E. Collin, Field Theory of Guided Waves. New York: IEEE Press, 1991.