A 3-D Hybrid Finite Element/Boundary Element Method for the Unified Radiation and Scattering Analysis of General Infinite Periodic Arrays

IEEE Transactions on Antennas and Propagation

Volumn 43, Issue 2, 1995, Pages 145-153

  Lucas, Eric W ^a   Fontana, Thomas P ^a  

^a Westinghouse Research & Development Cent   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTENNA RADIATION; BOUNDARY ELEMENT METHOD; ELECTROMAGNETIC WAVE POLARIZATION; ELECTROMAGNETIC WAVE SCATTERING; FINITE ELEMENT METHOD; GREEN'S FUNCTION; MATHEMATICAL MODELS; MAXWELL EQUATIONS; THREE DIMENSIONAL; VARIATIONAL TECHNIQUES; VECTORS;

INFINITE PERIODIC ARRAYS; THREE DIMENSIONAL HYBRID FINITE ELEMENT/BOUNDARY ELEMENT METHOD; UNIFIED RADIATION AND SCATTERING ANALYSIS;

ANTENNA ARRAYS;

EID: 0029253564     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.366376     Document Type: Article

References (27)

1. T. Cwick and R. Mittra, “Scattering from a periodic array of free-standing arbitrarily shaped perfectly conducting or resistive patches,” IEEE Trans. Antennas Propagat., vol. AP-35, pp. 1226-1234, Nov. 1987.
2. B. A. Munk, “A general theory of periodic surfaces in a stratified dielectric medium,” Technical Report 715582-4, The Ohio St. Univ. ElectroScience Laboratory, under Contract F33615-83-C-1013 for Wright-Patterson AFB, OH, Feb. 1986.
3. R. E. Jorgenson and R. Mittra, “Scattering from structured slabs having two-dimensional periodicity,” IEEE Trans. Antennas Propagat., vol. 39, pp. 151-154, Feb. 1991.
4. R. C. Hall, R. Mittra, and K. M. Mitzner, “Scattering from finite thickness resistive strip gratings,” IEEE Trans. Antennas Propagat., vol. 36, pp. 504-510, Apr. 1988.
5. J. T. Aberle and D. M. Pozar, “Analysis of infinite arrays of probefed rectangular microstrip patches using a rigorous feed model,” IEEE Trans. Antennas Propagat., vol. AP-27, pp. 331-343, May 1979.
6. M. E. Cooley, D. H. Schaubert, N. E. Buris, and E. A. Urbanik, “Radiation and scattering analysis of infinite arrays of endfire slot antennas with a ground plane,” IEEE Trans. Antennas Propagat., vol. 37, pp. 1615-1625, Nov. 1991.
7. N. Amitay, V. Galindo, and C. Wu, Theory and Analysis of Phased Array Array Antennas. New York; Wiley Interscience, 1972.
8. S. Gedney and R. Mittra, “Analysis of the electromagnetic scattering by thick gratings using a combined FEM/MM solution,” IEEE Trans. Antennas Propagat., vol. 39, pp. 1605-1614, Nov. 1991.
9. G. Pelosi, A. Freni, and R. Coccioli, “Hybrid technique for analyzing scattering from periodic structures,” IEE Proc., pt H, vol. 140, pp. 65-69, Apr. 1993.
10. J. M. Jin and J. L. Volakis, “A finite element boundary integral formulation for scattering by three dimensional cavity-backed apertures,” IEEE Trans. Antennas Propagat., vol. 39, pp. 1598-1604, Nov. 1991.
11. J. L. Volakis, “A class of hybrid finite element methods for electromagnetics: A review,” JEWA, 1993.
12. J. M. Jin and J. L. Volakis, “Scattering and radiation analysis of three-dimensional cavity arrays via a hybrid finite-element method,” IEEE Trans. Antennas Propagat., vol. 41, pp. 1580-1586, Nov. 1993.
13. E. W. Lucas and T. P. Fontana, “A 3D vector variational hybrid finite-element/boundary element formulation for the scattering analysis of arbitrary infinite doubly periodic arrays,” in IEEE APIS Dig., London Ontario, 1991.
14. E. W. Lucas and T. P. Fontana, “A 3D vector finite element analysis for infinite doubly periodic radiating arrays,” U.R.S.I. Radio Sci. Meeting Program and Abstracts. Ann Arbor, MI: Univ. of Michigan, 1993.
15. T. P. Fontana and E. W. Lucas, “The inclusion of resistive sheets in a 3D vector finite element analysis of a doubly infinite periodic array,” U.R.S.I. Radio Sci. Meeting Program and Abstracts. Ann Arbor, MI: Univ. of Michigan, 1993.
16. E. W. Lucas, “A 3D hybrid finite element/boundary element method for the unified radiation and scattering analysis of arbitrary infinite periodic arrays,” Ph.D. dissertation, Univ. of Maryland, College Park, MD, 1993.
17. J. F. Lee, “Finite element methods for modeling passive microwave devices,” Ph.D. dissertation, Camegie-Mellon Univ., Pittsburgh, PA, 1989.
18. S. K. Jeng, “Theory of variational electromagnetics and its application to scattering problems.” Ph.D dissertation. National Taiwan Univ., Taipei, Taiwan, R.O.C., 1984.
19. S. K. Jeng and C. H. Chen, “On variational electromagentics: Theory and applications,” IEEE Trans. Antennas Propagat., vol. AP-32, pp. 902-907, Sept. 1984.
20. S. J. Chung and C. H. Chen, “Partial variational principle for electromagentic field problems: Theory and applications,” IEEE Trans. Microwave Theory Tech., vol. 36, pp. 473-479, Mar. 1988.
21. E. W. Lucas and T. P. Fontana, “Vector finite element implementation of the variational Et-Ht generalized eigenmode formulation,” in IEEE APIS Dig., vol. 3, Seattle, WA, June 1994, pp. 1764-1767.
22. A. Bossavit and I. Mayergoyz, “Edge elements for scattering problems,” IEEE Trans. Magnetics, vol. 25, pp. 2816-2821, July 1989.
23. P. Silvester and R. Ferrari, Finite Elements for Electrical Engineers. Cambridge, England: Cambridge Univ. Press, 1990.
24. R. W. Freund and N. M. Nachtigal, “QMR: A quasi-minimal residual method for non-hermitian linear systems,” Numer. Math., vol. 60, pp. 315-339, 1991.
25. R. Schmier, “The articifial puck frequency selective surface,” U.R.S.I. Radio Sci. Meeting Program and Abstracts. Ann Arbor, MI: Univ. of Michigan, 1993.
26. R. Schmier, E. Lucas, and J. Bingham, “Frequency selective radome,” United States Patent no. 5 140338, Aug. 1992.
27. E. W. Lucas, M. A. Mongilio, K. M. Leader, C. P. Stieneke, and J. W. Cassen, “Notch radiator elements,” United States Patent no. 5 175 560, Dec. 1992.