Comparison of the fft conjugate gradient method and the finite-difference time-domain method for the 2-d absorption problem

IEEE Transactions on Microwave Theory and Techniques

Volumn 35, Issue 4, 1987, Pages 383-395

  Borup, David T ^a   Sullivan, Dennis M ^a   Gandhi, Om P ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MATERIALS - MATHEMATICAL MODELS; ELECTROMAGNETIC WAVES - ABSORPTION;

2-D ABSORPTION; FAST FOURIER TRANSFORM (FFT) CONJUGATE GRADIENT METHOD; FINITE-DIFFERENCE TIME-DOMAIN (FD-TD) METHOD; TE AND TM POLARIZATIONS;

MATHEMATICAL TRANSFORMATIONS;

EID: 0023331373     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/TMTT.1987.1133660     Document Type: Note

References (35)

1. H. Massoudi, C.H. Durney, P.W. Barber, and M.F. Iskander, “Electromagnetic absorption in multilayered cylindrical models of man,” IEEE Trans. Microwave Theory Tech., vol. MTT-27, pp. 825–830, Oct. 1979.
2. W.T. Joines and R.J. Spiegel, “Resonance absorption of microwaves by the human skull,” IEEE Trans. Biomed. Eng., vol. BME-21, pp. 46–48, Jan. 1974.
3. C.M. Weil, “Absorption characteristics of multilayered sphere models exposed to UHF/microwave radiation,” IEEE Trans. Biomed Eng., vol. BME-22, pp. 468–476. Nov. 1975.
4. A. Lakhtakia, M.F. Iskander, and C.H. Durney, “An iterative extended boundary condition method for solving the absorption characteristics of lossy dielectric objects of large aspect ratios,” IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 640–647, Aug. 1983.
5. M.A. Morgan and K.K. Mei, “Finite-element computation of scattering by inhomogeneous penetrable bodies of revolution,” IEEE Trans. Antennas Propagat., vol. AP-27, pp. 202–214, Mar. 1979.
6. J.H. Richmond, “Scattering by a dielectric cylinder of arbitrary cross section shape,” IEEE Trans. Antennas Propagat., vol. AP-13, pp. 334–341, Mar. 1965.
7. J.H. Richmond, “TE wave scattering by a dielectric cylinder of arbitrary cross-section shape,” IEEE Trans. Antennas Propagat., vol. AP-14, pp. 460–464, July 1966.
8. D.E. Livesay and K.M. Chen, “Electromagnetic fields induced inside arbitrarily shaped biological bodies,” IEEE Trans. Microwave Theory Tech., vol. MTT-22, pp. 1273–1280, Dec. 1974.
9. M.J. Hagmann, O.P. Gandhi, and C.H. Durney, “Numerical calculation of electromagnetic energy deposition for a realistic model of man,” IEEE Trans. Microwave Theory Tech., vol. MTT-27, pp. 804–809, Sept. 1979.
10. J.F. Deford, O.P. Gandhi, and M.J. Hagmann, “Moment-method solutions and SAR calculations for inhomogeneous models of man with large number of cells,” IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 848–851, Oct. 1983.
11. N.N. Bojarski, “K-space formulation of the electromagnetic scattering problem,” Tech. Rep. AFAL-TR-71–5, Mar. 1971.
12. R. Kastner and R. Mittra, “A new stacked two-dimensional spectral iteration technique (SIT) for analyzing microwave power deposition in biological media,” IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 898–904, Nov. 1983.
13. D.T. Borup and O.P. Gandhi, “Fast-Fourier-transform method for the calculation of SAR distributions in finely discretized models of biological bodies,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 355–360, Apr. 1984.
14. D.T. Borup and O.P. Gandhi, “Calculation of high-resolution SAR distributions in biological bodies using the FFT algorithm and the conjugate gradient method,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 417–419, May 1985.
15. M. Hestenes and E. Stiefel, “Method of conjugate gradients for solving linear systems,” J. Res. Nat. Bur. Stand., vol. 49, pp. 409–436, 1952.
16. H. Massoudi, C.H. Durney, and M.F. Iskander, “Limitations of the cubical block model of man in calculating SAR distributions,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 746–752, Aug. 1984.
17. M.J. Hagmann et al., “Comments on 'Limitations of the cubical block model of man in calculating SAR distributions',” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 347–350, Apr. 1985.
18. K.S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propel gat., vol. AP-17, pp. 585–589, May 1966.
19. A. Taflove and M.E. Morris, “Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations,” IEEE Trans. Microwave Theory Tech., vol. MTT-23, pp. 623–660, Aug. 1975.
20. K. 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
21. A. Taflove and M.E. Brodwin, “Computation of the electromagnetic fields and induced temperatures within a model of the microwave-irradiated human eye,” IEEE Trans. Microwave Theory Tech., vol, MTT-23, pp. 888–896, Nov. 1975.
22. G. Mur, “Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromagn. Compat, vol: EMC-23, pp. 377–382, Nov. 1981.
23. A. Taflove and K.R. Umashankar, “User's code for FD-TD,” Final Report RADC-TR-82-16 by IIT Research Institute, Chicago, IL, to Rome Air Development Center, Griffiss AFB, NY, on Contract F30602–80-C-0302, Feb. 1982.
24. R. F: Harrington, Field Computation by Moment Methods. New York: McGrawHill, 1968.
25. G.W. Hohmann, “Three-dimensional induced polarization and electromagnetic modeling,” Geophysics, vol. 40, pp. 309–324, Apr. 1975.
26. M.J. Hagmann and R.L. Levin, “Convergence of local and average values in three-dimensional moment-method solutions,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 649–654, July 1985.
27. A.V. Oppenheim and R.W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
28. T.K. Sarkar, K.R. Siarkiewicz, and R.F. Stratton, “Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems,” IEEE Trans. Antennas Propagat., vol. AP-29, pp. 847–856, Nov. 1981.
29. P.M. Van den Berg, “Iterative computational techniques in scattering based on the integrated square error criterion,” IEEE Trans. Antennas Propagat., vol. AP-32, pp. 1063–1071, Oct. 1984.
30. M, F, Sultan and R. Mittra, “An iterative moment method for analyzing the electromagnetic field distribution inside inhomogeneous lossy dielectric objects,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 163–168, Feb. 1985.
31. C.C. Johnson and A.W. Guy, “Nonionizing electromagnetic wave effects in biological materials and systems,” Proc. IEEE, vol. 60, pp. 692–718, June 1972.
32. H.E. Bussey and J.H. Richmond, “Scattering by a lossy dielectric circular cylindrical multilayer, numerical values,” IEEE Trans. Antennas Propagat., vol. AP-23, pp. 723–725, Sept. 1975.
33. S.C. Hill, C.H. Durney, and D.A. Chistensen, “Numerical calculations of low-frequency TE fields in arbitrarily shaped inhomogeneous lossy dielectric cylinders,” Radio Sci., vol. 18, pp. 328–336, May-June 1983.
34. C-T. Tsai, “Numerical studies of internal field distributions in dielectric bodies,” Ph.D dissertation, University of Utah, Salt Lake City, UT, 1985.
35. D.H. Schaubert, D.R. Wilton, and A.W. Glisson, “A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies,” IEEE Trans. Antennas Propagat., vol. AP-32, pp. 77–85, Jan. 1984.