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IEEE Transactions on Antennas and Propagation
Volume 46 Number 11, November 1998

Table of Contents for this issue

Complete paper in PDF format

Radiation and Scattering from Infinite Periodic Printed Antennas with Inhomogeneous Media

Wen-Jiunn Tsay and David M. Pozar, Fellow, IEEE

Page 1641.

Abstract:

The hybrid method of moments (MoM)/Green's function method [1] technique is applied to infinite periodic printed antenna arrays containing dielectric inhomogeneities. The solution uses an integral equation for an infinite periodic printed array on or over a homogeneous dielectric substrate [2], coupled with equivalent volume polarization currents for dielectric inhomogeneities on top of the homogeneous substrate. Volume pulse-basis functions were used to expand the volume polarization currents. A hybrid MoM/Green's function method solution was then obtained through the matrix form of the problem. The two-dimensional (2-D) solution of plane wave scattering from a grounded dielectric slab was used to validate the reaction impedance of the dielectric inhomogeneity. Several infinite periodic printed dipole arrays with dielectric supports and overlays were studied with this solution and good agreement was observed between the hybrid MoM/Green's function method and waveguide simulator experiments.

References

  1. E. H. Newman, "An overview of the hybrid MM/Green's function method in electromagnetics," Proc. IEEE, vol. 76, pp. 270-282, Mar. 1988.
  2. D. M. Pozar and D. H. Schaubert, "Scan blindness in infinite phased arrays of printed dipoles," IEEE Trans. Antennas Propagat., vol. AP-32, pp. 602-610, June 1984.
  3. M. Davidovitz, "Extension of the E-plane scanning range in large microstrip arrays by substrate modification," IEEE Microwave Guided Wave Lett., vol. 2, pp. 492-494, Dec. 1992.
  4. J. R. Bayard, D. H. Schaubert, and M. E. Cooley, "E-plane scan performance of infinite arrays of dipoles printed on protruding dielectric substrate: coplanar feed line and E-plane metallic wave effects," IEEE Trans. Antennas Propagat., vol. 41, pp. 837-841, June 1993.
  5. A. Henderson, J. R. James, and C. M. Hall, "Bandwidth extension techniques in printed conformal antennas," Military Microwaves, MM86, Brighton, U.K., June 1986.
  6. P. S. Hall, C. Wood, and C. Garrett, "Wide bandwidth microstrip antennas for circuit integration," Electron. Lett., vol. 15, pp. 458-459, 1979.
  7. M. W. McAllister, S. A. Long, and G. L. Conway, "Rectangular dielectric resonator antenna," Electron. Lett., vol. 19, pp. 218-219, 1983.
  8. A. A. Kishk, M. R. Zunoubi, and D. Kajfez, "A numerical study of a dielectric disk antenna above grounded dielectric substrate," IEEE Trans. Antennas Propagat., vol. 41, pp. 813-821, June 1993.
  9. K. R. Umashankar and A. Taflove, "A novel method to analyze electromagnetic scattering of complex objects," IEEE Trans. Electromagn. Compat., vol. EMC-24, pp. 397-405, Nov. 1982.
  10. C. Wu, K. Wu, Z. Bi, and J. Litva, "Accurate characterization of planar printed antennas using FDTD method," IEEE Trans. Antennas Propagat., vol. 40, pp. 526-534, May 1992.
  11. J. Maloney, G. Smith, and W. Scott, "Accurate computation of the radiation from simple antennas using the FDTD method," IEEE Trans. Antennas Propagat., vol. 38, pp. 1059-1068, July 1990.
  12. W. L. Ko and R. Mittra, "Implementation of Floquet boundary condition in FDTD for FSS analysis," in IEEE AP-S Int. Symp. Dig., Ann Arbor, MI, June 1993, pp. 14-17.
  13. W. J. Tsay and D. M. Pozar, "Application of the FDTD technique to periodic problems in scattering and radiation," IEEE Microwave Guided Wave Lett., vol. 3, pp. 250-252, Aug. 1993.
  14. J. Ren, O. P. Gandhi, L. R. Walker, J. Fraschilla, and C. R. Boerman, "Floquet-based FDTD analysis of two-dimensional phased array antennas," IEEE Microwave Guided Wave Lett., vol. 4, pp. 109-111, Apr. 1994.
  15. P. Harms, R. Mittra, and W. L. Ko, "Implementation of the periodic boundary condition in the finite-difference time-domain algorithm for FSS structures," in IEEE AP-S Int. Symp. Dig., Seattle, WA, June 1994, vol. 3, pp. 2144-2147.
  16. D. T. Prescott and N. V. Shuley, "A technique for analyzing frequency selective surfaces using the finite-difference time-domain method," in IEEE AP-S Int. Symp. Dig., Seattle, WA, June 1994, vol. 3, pp. 2152-2155.
  17. J. Richmond, "On the edge mode in the theory of TM scattering by a strip or strip grating," IEEE Trans. Antennas Propagat., vol. AP-28, pp. 883-887, Nov. 1980.
  18. T. K. Sarkar and E. Arvas, "An integral equation approach to the analysis of finite microstrip antennas: volume/surface formulation," IEEE Trans. Antennas Propagat., vol. 38, pp. 305-312, Mar. 1990.
  19. T. Itoh, "Spectral domain immittance approach for dispersion characteristics of generalized printed transmission lines," IEEE Trans. Microwave Theory Tech., vol. MTT-28, pp. 733-736, July 1980.
  20. N. K. Das and D. M. Pozar, "A generalized spectral-domain Green's function for multilayer dielectric substrates with application to multilayer transmission lines," IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 326-335, Mar. 1987.
  21. E. H. Newman and P. Tulyathan, "Wire antennas in the presence of a dielectric-ferrite inhomogeneity," IEEE Trans. Antennas Propagat., vol. AP-26, pp. 587-593, July 1978.
  22. W. J. Tsay, "Radiation and scattering from periodic geometries in inhomogeneous media," Ph.D. dissertation, Univ. Massachusetts at Amherst, 1995.
  23. C. A. Balanis, Advanced Engineering Electromagnetics.New York: Wiley, 1989.
  24. D. M. Pozar, Microwave Engineering.Reading, MA: Addison-Wesley, 1990.
  25. J. T. Aberle and D. M. Pozar, "Analysis of infinite arrays of probe-fed rectangular microstrip patches using a rigorous feed model," Proc. Inst. Elect. Eng., vol. 136, pt. H, no. 2, pp. 110-119, Apr. 1989.
  26. M. E. Cooley, "Analysis of infinite arrays of endfire slot antennas," Ph.D. dissertation, Univ. Massachusetts at Amherst, 1992.