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IEEE Transactions on Antennas and Propagation
Volume 46 Number 12, December 1998

Table of Contents for this issue

Complete paper in PDF format

A Recursive Green's Function Method for Boundary Integral Analysis of Inhomogeneous Domains

Michael A. Jensen, Member, IEEE, and Jim D. Freeze, Student Member, IEEE

Page 1810.

Abstract:

The recursive Green's function method (RGFM) for computation of fields scattered by two-dimensional (2-D) inhomogeneous dielectric bodies is presented. The algorithm efficiently constructs the Green's function for the inhomogeneous region by recursively combining known Green's functions from smaller subdomains. The fields on the scatterer surface are then computed using a boundary integral formulation. Proper implementation of the RGFM results in computational and storage complexities which scale as { {N}}^{{1.5}} and { {N}}, respectively, where {{N}} is the total number of discrete cells in a domain. Comparisons of results obtained using the RGFM with those computed from moment method and exact solutions show the efficiency and accuracy of the technique.

References

  1. W. C. Chew and Y. M. Wang, "Reconstruction of two-dimensional permittivity distribution using the distorted born iterative method," IEEE Trans. Med. Imaging, vol. 9, pp. 218-225, June 1990.
  2. N. Joachimowicz, C. Pichot, and J. P. Hugonin, "Inverse scattering: An iterative numerical method for electromagnetic imaging," IEEE Trans. Antennas Propagat., vol. 39, pp. 1742-1752, Dec. 1991.
  3. D. M. Sullivan, O. P. Gandhi, and A. Taflove, "Use of the finite-difference time-domain method for calculating EM absorption in man models," IEEE Trans. Biomed. Eng., vol. 35, pp. 179-186, Mar. 1988.
  4. P. J. Dimbylow, "FDTD calculations of the SAR for a dipole closely coupled to the head at 900 MHz and 1.9 GHz," Phys. Med. Biol., vol. 38, pp. 361-368, Feb. 1993.
  5. D. T. Borup, D. M. Sullivan, and O. P. Gandhi, "Comparison of the FFT conjugate gradient method and the finite-difference time-domain method for the 2-D absorption problem," IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 383-395, Apr. 1987.
  6. R. Kastner and R. Mittra, "A new stacked two-dimensional spectral iterative technique (SIT) for analyzing microwave power deposition in biological media," IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 898-904, Nov. 1983.
  7. M. A. Jensen and Y. Rahmat-Samii, "EM interaction of handset antennas and a human in personal communications," Proc. IEEE, vol. 83, pp. 7-17, Jan. 1995.
  8. H. R. Chuang, "Human operator coupling effects on radiation characteristics of a portable communication dipole antenna," IEEE Trans. Antennas Propagat., vol. 42, pp. 556-560, Apr. 1994.
  9. W. C. Chew and C. C. Lu, "The use of Huygens' equivalence principle for solving the volume integral equation of scattering," IEEE Trans. Antennas Propagat., vol. 41, pp. 897-904, July 1993.
  10. C. C. Lu and W. C. Chew, "The use of Huygens' equivalence principle for solving 3-D volume integral equation of scattering," IEEE Trans. Antennas Propagat., vol. 43, pp. 500-507, May 1995.
  11. K. B. Kahen, "Analysis of distributed-feedback lasers: A recursive Green's function approach," Appl. Phys. Lett., vol. 61, no. 17, pp. 2012-2014, Oct. 1992.
  12. K. B. Kahen, "Analysis of distributed-feedback lasers using a recursive Green's functional approach," IEEE J. Quantum Electron., vol. 29, pp. 368-373, Feb. 1993.
  13. J. D. Freeze, M. A. Jensen, and R. H. Selfridge, "A unified Green's function analysis of complicated DFB lasers," IEEE J. Quantum Electron., vol. 33, pp. 1253-1259, Aug. 1997.
  14. A. George, "Nested dissection of a regular finite element mesh," SIAM J. Numer. Anal., vol. 10, pp. 345-363, Apr. 1973.
  15. K. B. Kahen, "Recursive-Green's-function analysis of wave propagation in two-dimensional nonhomogeneous media," Physical Rev. E, vol. 47, pp. 2927-2933, Apr. 1993.
  16. W. C. Chew, Waves and Fields in Inhomogeneous Media.New York: Van Nostrand Reinhold, 1990.
  17. J. Mathews and R. L. Walker, Mathematical Methods of Physics.New York: Benjamin, 1970, pp. 272-273.
  18. T. K. Sarkar, E. Arvas, and S. Ponnapalli, "Electromagnetic scattering from dielectric bodies," IEEE Trans. Antennas Propagat., vol. 37, pp. 673-676, May 1989.