Multiple Multipole Method for Simulating EM Problems Involving Biological Bodies

IEEE Transactions on Biomedical Engineering

Volumn 40, Issue 7, 1993, Pages 611-620

  Kuster, Niels ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOMEDICINE; ELECTROMAGNETIC FIELD; HUMAN; SIMULATION;

ANIMALS; COMPUTER SIMULATION; ELECTROMAGNETIC FIELDS; HUMANS; MATHEMATICS; METHODS; MODELS, BIOLOGICAL; REPRODUCIBILITY OF RESULTS; SOFTWARE;

EID: 0027724818     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/10.237691     Document Type: Article

References (54)

1. C. H. Durney, “Electromagnetic dosimetry for models of humans and animals: a review of theoretical and numerical techniques,” Proc. IEEE. vol. 68, pp. 33–40, Jan. 1980.
2. R. J. Speigel, “A review of numerical models for predicting the energy deposition and resultant thermal response of human exposed to electromagnetic fields,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 730–746, Aug. 1984.
3. A. R. Shapiro, R. F. Lutomirski, and H. T. Yura, “Induced fields and heating within a cranial structure irradiated by an electromagnetic plane wave,” IEEE Trans. Biomed. Eng., vol. BME-19, pp. 187–196. Feb. 1971.
4. H. N. Kritikos and H. P. Schwan, “The distribution of heating potential inside lossy spheres.” IEEE Trans. Biomed. Eng., vol. BME-22, pp. 457–463. Jan. 1975.
5. C. M. Weil, “Absorption characteristics of multilayered sphere models exposed to UHF/Microwave radiation,” IEEE Trans. Biomed. Eng., vol. BMF.-22, pp. 468–476, Nov. 1975.
6. H. N. Kritikos and H. P. Schwan, “Hot spots generated in conducting spheres by electromagnetic waves and biological implications,” IEEE Trans. Biomed. Eng.,vol. BME-19, pp. 53–58, Jan. 1972.
7. R. Ruppin, “Calculation of electromagnetic energy absorption in prolate spheroids by the point matching method,” IEEE Trans. Microwave Theory Tech., vol. MTT-26, pp. 87–90. Feb. 1978.
8. C. H. Durney, C. C. Johnson, and H. Massoudi, “Long-wavelength analysis of plane wave irradiation of a prolate spheroid model of man.” IEEE Trans. Microwave Theory Tech.,vol. MTT-23, pp. 246–253, Feb. 1975.
9. H. Massoudi, C. H. Dumey, and C. C. Johnson, “Long-wavelcngth electromagnetic power absorption in ellipsoidal models of man and animals.” IEEE Trans. Microwave Theory Tech., vol. MTT-25, pp. 47–52, Jan. 1977.
10. P. W. Barber, “Resonance electromagnetic absorption by nonspherica! dielectric objects,” IEEE Trans. Microwave Theory Tech.,vol. MTT-25, pp. 373–381, May 1977.
11. P.C. Waterman, “Symmetry, unitarity. and geometry in electromagnetic scattering.” Phys. Rev. D, vol. 3, pp. 825–839, Feb. 1971.
12. M. K Iskander, A. Lakhtakia, and C. H. Durney, “A new procedure for improving the solution stability and extending the frequency range of the EBCM,” IEEE Tram. Antennas Propagat, vol. AP 31, pp. 317–324, Mar. 1983.
13. M. F. Iskander, S. C. Olson, and J. McCalmont, “Near field absorption characteristics of biological models in the resonance frequency range,” IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 776–780, Aug. 1987.
14. A. Lakhtakia and M. Iskander, “Scattering and absorption characteristics of lossy dielectric objects exposed to the near fields of aperture sources,” JEEE Trans. Antennas Propagat., vol. AP-31, pp. 111–120, Jan. 1983.
15. 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.
16. D. R. 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.
17. 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.
18. M, J. Hagmann and R. Levin, “Accuracy of block models for evaluation of the deposition of energy by electromagnetic fields,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 653–659. June 1986.
19. C.-T. Tsai, H. Massoudi, C. H. Durney, and M. F. Iskander, “A procedure for calculating fields inside arbitrarily shaped, inhomogeneous dielectric bodies using linear basis functions with the moment method,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 1131–1139, Nov. 1986.
20. D. T. Borup and O. P. Gandhi, “Fast-Fourier transform method for calculation of SAR distributions in finely discretized inhomogeneous models of biological bodies,” IEEE Trans Microwave Theory Tech., vol. MTT-32 pp. 355–359, Apr. 1984.
21. T. K, Sarkar. E. Arvas. and S. M, Rao, “Application of FFT and the 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.
22. M. A. Sluchly, R. J. Spiegel, S. S. Stuchly, and A. Kraszewski, “Exposure of man in the near-field of a resonant dipole; Comparison between thcorv and measurements,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 26–31, Jan. 1986.
23. H. R. Chuang and Q. Balzano, “Numerical computation of EM energy deposition inside human body from portable radio dipole antenna by coupled integral equations (cie) and 3-D moment method,” in Abstract hook of the 12th Ann. Meeting Bioelectromagtietic Soc, pp. 29–30, June 1990.
24. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media,” IEEE Trans. Antennas Propagat, vol. AP-14, pp. 585–589. 1966.
25. K. Umashankar and A. Taflovc, “A novel method to analyze electromagnetic scattering of complex objects,” IEEE Trans. Elecfromag. Compat., vol. EMC-25, pp. 623–660. Feb. 1975.
26. D. M. Sullivan, D. T. Rorup, O. P. Gandhi, “Use of the finite-difference time-domain method in calculating EM absorption in human tissues,” IEEE Trans. Biomed. Eng., vol. BME-34, pp. 148–157, Feb. 1987.
27. 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.
28. A. Taflove, “Finite-difference time-domain (FD-TD) modeling of electromagnetic wave scattering and interaction problems,” IEEE APS Newsletter, pp. 5–20, Apr. 1988.
29. P- J- Dimbylow, “The calculation of induced currents and absorbed power in a realistic, heterogeneous model of the lower leg for applied electric fields from 60 Hz to 30 MHz.” Phys. Med Biol., vol. 33, no. 12, pp. 1453–1468. 1988.
30. N. Orcutt and O. P. Gandhi, “A 3-D impedance method to calculate power deposition on biological bodies subjected to time varying magnetic fields,” IEEE Trans. Biomed. Eng., vol. 35, pp. 577–583, Aug. 1988.
31. G. Klaus, “3-D Streufeldbercchnungen mil Hilfe der MMP-Mcthode,” Ph.D. thesis Diss. ETH Nr. 7792, 1985.
32. C. Hafner and L. Bomholt. The 3D Electrodynamic Wave Simulator. New York: Wiley, 1993.
33. C. Hafner, 2D-MMP: Two Dimensional Multiple Multipole Analysis Software and User's Manual. Artech House Books, 1990.
34. C. Hafner, The Generalized Multipole Technique for Computational Electromagnetics. Artech House Books, 1990.
35. J. N. Vckua, New Methods for Solving Elliptic Equations. Moscow: Gosloptekhizat, 1948. (English translation: Amsterdam, North Holland: 1967).
36. K. A. Yasuura, “A view of numerical methods in diffraction problems,” in Progress in Radio Science 1966–1969, W. Tilson and M. Sauzade, Eds. Brussels: Union Radio Scientifique Internationale, pp. 257–270, 1971.
37. C. Hafner. Beiträge zur Berechnung der Ausbreitung elektromagnetischer Wcllen in zylindrischen Strukturcn mit Hilfe des “Point-Matching”— Verfahrcns. Ph.D. Diss. ETH Nr. 6683, 1980.
38. A. Ludwig, “A new technique for numerical electromagnetics,” IEEE AP-S Newsletter, vol. 31, pp. 40–41, Feb. 1989.
39. N. Kuster and R. Ballisti, “MMP-method simulation of antennae with scattering objects in the closer near field.” IEEE Trans. Magn., vol. 25, pp. 2881–2883, July 1989.
40. P. Leuchlrnann and L. Bomholt, “Thin wire feature for the MMP code,” in Proc. 6th Annual Review Progress Applied Computational Electromagnetics. (ACES), Monterey, CA, Mar. 1990.
41. F. Bomholt, Die Kopplung elektromagnetischer Felder durch Öffnungen: Berechnung mil der MMP Methodc. Ph.D. Diss. ETH, Zurich, 1992.
42. P. Leuchlrnann, “New expansion functions for long structures in the MMP-codc,” in Proc, 7th Animal Review Progress Applied Computational Electromagnetics (ACES). Monterey, CA, Mar. 1991.
43. K. Yasuura and H. Ikuno, “Smoothing process in the mode-matching method for solving two-dimensional scattering problems,” Mem. Eac. Eng. Kyushu Univ., vol. 37, no. 4, pp. 175–192, 1977.
44. N. Kuster and L. Bomholt, “A block iterative technique to expand MMP's applicability to EM problems of higher complexity,” submitted.
45. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore: John Hopkins University Press, 2nd ed., 1989.
46. J. J. Dongarra. C. B. Moler. J. R. Bunch, and G. W. Stewart, UNPACK User's Guide. S1AM, 1979.
47. P. Regli, C. Hafner, and N. Kuster, “Animated electromagnetic field representation.” in Abstracts XXIII General Assembly URSI, Prague, Czechoslovakia, Sept. 1990, p. 375.
48. P. Pethig, “Dielectric properties of biological materials: Biophysical and medical applications,” IEEE Trans. Elec Insul., vol. 19. no. 5, pp. 453–474, 1984.
49. A. C. Ludwig, N. Kuster. A. Glisson. and A. Thai, “5: 1 dipole benchmark case,” in The ACES Collection of Canonical Problems, Set 1, H. A. Sabbagh, Ed.,Applied Computational Electromagnetics Society. 1990, pp. 34–59.
50. N. Kuster, “6 types of canonical problems based on one geometrical model.” in The ACES Collection of Canonical Problems, Set I, H. A. Sabbagh, Ed.,Applied Computational Electromagnetics Society, 1990, pp. 60–81.
51. P. Leuchlrnann. Autumatisierung der Funktionenwahl bei der MMP-Methode. Ph.D. Diss. ETH Nr.8301, 1987.
52. P. Leuchlrnann, “Optimal location for matching points for wire modelling with MMP,” ACES J., vol 6, no. 2, 1991.
53. N. Kuster and Q. Balzano, “Energy absorption mechanism by biological bodies in the near field of dipole antennas above 300 MHz,” IEEE Trans. Vehic. Technol., vol. 41, pp. 17–23, Feb. 1992.
54. N. Kuster, “Multiple multipole method applied to an exposure safety study.” in ACES Special Issues on Bioelectromagnetic Computations, vol. 7. A. Fleming and K. H. Joyner. Eds, Applied Computational Electromagnetics Society. 1992, pp. 43–60.