Thin-stratified medium fast-multipole algorithm for solving microstrip structures

IEEE Transactions on Microwave Theory and Techniques

Volumn 46, Issue 4, 1998, Pages 395-403

  Zhao, Jun Sheng ^a   Chew, Weng Cho ^a   Lu, Cai Cheng ^a   Michielssen, Eric ^a   Song, Jiming ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Fast multipole; Integral equation; Method of moments; Microstrip; Multilevel algorithm

Indexed keywords

EID: 0001568701     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.664140     Document Type: Article

References (21)

1. T. K. Sakar, E. Arvas, and S. S. Rao,Application of FFT and conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies, IEEE Trans. Antennas Propagat., vol. AP-34, pp. 635-640, May 1986.
2. Y. Zhuang, K. L. Wu, C. Wu, and J. Litva,A combined full-wave CGFFT method for rigorous analysis of large microstrip antenna arrays, IEEE Trans. Antennas Propagat., vol. 44, pp. 102-109, Jan. 1996.
3. V. Jandhyala, E. Michielssen, and R. Mittra,Multipole-accelerated capacitance computation for 3-D structures in a stratified dielectric medium using a closed form Green's function, (Special issue on Microwave Packages and Interconnects), Int. J. Microwave MillimeterWave Comput.-Aided Eng., vol. 5, pp. 68-78, May 1995.
4. L. Gurel and M. I. Aksun,Electromagnetic scattering solution of conducting strips in layered media using the fast multipole method, IEEE Microwave Guided Wave Lett., vol. 6, pp. 277-279, Aug 1996.
5. C. C. Lu and W. C. Chew,A multilevel algorithm for solving a boundary integral equation of wave scattering, Microwave Opt. Technol. Lett., vol. 7, no. 10, pp. 456-470, July 1994.
6. J. M. Song and W. C. Chew,Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering, Microwave Opt. Technol. Lett., vol. 10, no. 1, pp. 14-19, Sept. 1995.
7. V. Rokhlin,Rapid solution of integral equations of scattering theory in two dimensions, J. Comput. Phys, vol. 36, no. 2, pp. 414-4139, 1990.
8. A. Brandt,Multilevel computations of integral transforms and particle interactions with oscillatory kernels, Comput. Phys. Commun., vol. 65, pp. 24-38, 1991.
9. W. C. Chew and C. C. Lu,A fast algorithm to compute the wavescattering solution of a large strip, Computational Phys., vol. 107, no. 2, pp. 378-387, Aug. 1993.
10. C. C. Lu and W. C. Chew,Electromagnetic scattering of finite strip array on a dielectric slab, IEEE Trans. Microwave Theory Tech., vol. 41, pp. 97-100, Jan. 1993.
11. E. Michielssen and W. C. Chew,The fast steepest descent path algorithm for analyzing scattering from two-dimensional objects, Radio Sei., vol. 31, no. 5, pp. 1215-1224, Sept.-Oct. 1996.
12. V. Jandhyala, E. Michielssen, B. Shanker, and W. C. Chew,A combined steepest descent-fast multipole algorithm for the fast analysis of three-dimensional scattering by rough surfaces, Center Computational Electromagnetics Res. Rep. CCEM 3-97, Mar. 31, 1997.
13. K. A. Michalski and D. Zheng,Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, part I: Theory, IEEE Trans. Antennas Propagat., vol. 38, pp. 335-344, Mar. 1990.
14. M. J. Tsai, F. D. Flaviis, O. Fordham, and N. G. Alexopoulos,Modeling planar arbitrarily shaped microstrip elements in multilayered media, IEEE Trans. Microwave Theory Tech., vol. 45, pp. 330-337, Mar. 1997.
15. W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand, 1990.
16. J. A. Kong, Theory of Electromagnetic Waves. New York: Wiley, 1975.
17. 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. 407-418, May 1982.
18. P. B. Katehi and N. G. Alexopoulos,Frequency-dependent characteristics of microstrip discontinuities in millimeter-wave integrated circuits, IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 1029-1035, Oct. 1985.
19. D. M. Pozar,Radiation and scattering from a microstrip patch on a uniaxial substrate, IEEE Trans. Antennas Propagat., vol. AP-35, pp. 613-621, June 1987.
20. C. R. Andersen,An implementation of the fast multipole method without multipole, SIAM J. Sei. Stat. Comput., vol. 13, no. 4, pp. 923-947, July 1992.
21. D. G. Shively et al,Scattering from microstrip patch antennas using subdomain basis functions, Electromagnetics, vol. 14, pp. 1-18, 1994.