Millimeter-Resolution Dosimetry for EM Fields from Mobile Telephones and Power Lines

  • O. P. Gandhi
  • J. Y. Chen


Numerical methods have matured to a level that they are being increasingly used by many laboratories for dosimetric calculations for important and meaningful bioelectromagnetic problems. For certification of mobile telephones to be within the ANSI/IEEE C95.1-1992 RF Safety Guidelines, the approach discussed in this paper may be quite useful. We should also be able to use the numerical approach outlined here to understand coupling of power-frequency high-magnetic-field sources such as hair dryers, hair clippers, electric shavers, etc., to the human head. Of particular-interest would be the induced EMFs and current densities for the pineal gland which has been alleged to be involved in the biological effects of power-frequency FMFs. With the resolution of the present models being on the order of 11.7 milligrams of tissue for each of the cells of dimension 1.974 × 1.974 × 3 mm, it is possible to define even small glands, such as the pineal, with a great deal of precision. The numerical models may also be used for the design/assessment of important biomedical devices such as implantable cardiac defibrillators, etc.


IEEE Transaction Magnetic Resonance Imaging Scan Mobile Telephone Specific Absorption Rate Electromagnetic Compatibility 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    O. P. Gandhi, “Some Numerical Methods for Dosimetry: Extremely Low Frequencies to Microwave Frequencies,” Radio Science, Vol. 30, pp. 161–177, January/February 1995.Google Scholar
  2. 2.
    O. P. Gandhi, “Numerical Methods for Specific Absorption Rate Calculations,” in Biological Effects and Medical Applications of Electromagnetic Energy, O. P. Gandhi, Editor, Prentice-Hall, New Jersey, 1990.Google Scholar
  3. 3.
    J. N. Lee and O. P. Gandhi, “Models of the Human Body: A Historical Perspective,” invited paper presented at the Radio-Frequency Radiation Dosimetry Workshop, Brooks Air Force Base, Texas, December 8–9, 1992; to appear in the Proceedings of the Workshop.Google Scholar
  4. 4.
    O. P. Gandhi, J. Y. Chen, and D. Wu, “Electromagnetic Absorption in the Human Head for Mobile Telephones at 835 and 1900 MHz,” Proceedings of the International Symposium on Electromagnetic Compatibility, (EMC’ 94 ROMA), Vol. I, pp. 1–5, September 13–16, 1994.Google Scholar
  5. 5.
    D. Wu, O. P. Gandhi, and J. Y. Chen, “Electric Field and Current Density Distributions Indueed in a Millimeter-Resolution Model of the Human Head and Neck by Magnetic Fields of a Hair Dryer and an Electric Shaver,” paper presented at the Sixteenth Annual Meeting of the Bioelectromagnetics Society. Copenhagen, Denmark, June 12–17, 1994.Google Scholar
  6. 6.
    K. S. Yee, “Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropic Media,” IEEE Transactions on Antennas and Propagation, Vol. AP-14, pp. 302–307, 1966.ADSGoogle Scholar
  7. 7.
    A. Taflove and M. E. Brodwin, “Computation of the Electromagnetic Fields and Induced Temperatures Within a Model of the Microwave Irradiated Human Eye,” IEEE Transactions on Microwave Theory and Techniques. Vol. MTT-23, pp. 888–896, 1975.CrossRefADSGoogle Scholar
  8. 8.
    A. Taflove and M. E. Brodwin, “Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell’s Equations,” IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-23, pp. 623–630, 1975.CrossRefADSGoogle Scholar
  9. 9.
    A. Taflove, “Application of the Finite-Difference Time-Domain Method to Sinusoidal Steady-State Electromagnetic-Penetration Problems,” IEEE Transactions on Electromagnetic Compatibility, Vol. EMC-22. pp. 191–202, 1980.CrossRefADSGoogle Scholar
  10. 10.
    K. Umashankar and A. Taflove, “A Novel Method to Analyze Electromagnetic Scattering of Complex Objects,” IEEE Transactions on Electromagnetic Compatibility, Vol. EMC-24. pp. 397–405, 1982.CrossRefADSGoogle Scholar
  11. 11.
    R. Holland, “THREDE: A Free-Field EMP Coupling and Scattering Code,” IEEE Transactions on Nuclear Science, Vol. NS-24, pp. 2416–2421, 1977.CrossRefADSGoogle Scholar
  12. 12.
    K. S. Kunz and K. M. Lee, “A Three-Dimensional Finite-Difference Solution of the External Response of an Aircraft to a Complex Transient EM Environment. The Method and Its Implementation,” IEEE Transactions on Electromagnetic Compatibility, Vol. 20, pp. 328–332, 1978.CrossRefGoogle Scholar
  13. 13.
    D. M. Sullivan, O. P. Gandhi, and A. Taflove, “Use of the Finite-Difference Time-Domain Method in Calculating EM Absorption of Man Models,” IEEE Transactions on Biomedical Engineering, Vol. BME-35. pp. 179–186, 1988.CrossRefGoogle Scholar
  14. 14.
    J. Y. Chen and O. P. Gandhi, “RF Currents Induced in an Anatomically Based Model of a Human for Plane-Wave Exposures 20–100 MHz,” Health Physics, Vol. 57, pp. 89–98, 1989.CrossRefGoogle Scholar
  15. 15.
    J. Y. Chen, O. P. Gandhi, and D. L. Conover, “SAR and Induced Current Distributions for Operator Exposure to RF Dielectric Sealers,” IEEE Transactions on Electromagnetic Compatibility, Vol. 33, pp. 252–261, 1991.CrossRefGoogle Scholar
  16. 16.
    O. P. Gandhi, Y. G. Gu, J. Y. Chen, and H. I. Basen, “SAR and Induced Current Distributions in a High-Resolution Anatomically Based Model of a Human for Plane-Wave Exposures 100–915 MHz,” Health Physics. Vol. 63, pp. 281–290, 1992.CrossRefGoogle Scholar
  17. 17.
    J. Y. Chen and O. P. Gandhi, “Currents Induced in an Anatomically Based Model of a Human for Exposure to Vertically Polarized EMP,” IEEE Transactions on Microwave Theorv and Techniques. Vol. 39, pp. 31–39, 1991.CrossRefADSGoogle Scholar
  18. 18.
    ANSI IEEE C95.1-1992, “American National Standard — Safety Levels with Respect to Human Exposure to Radio Frequency Electromagnetic Fields, 3 kHz to 300 GHz,” published by the Institute of Electrical and Electronics Engineers, Inc., 345 East 47th Street, New York, New York, 10017.Google Scholar
  19. 19.
    C. C. Johnson and A. W. Guy, “Nonionizing Electromagnetic Wave Effects in Biological Materials and Systems,” Proceedings of the IEEE, Vol. 60, pp. 692–717, 1972.CrossRefGoogle Scholar
  20. 20.
    M. A. Stuchly and S. S. Stuchly, “Dielectric Properties of Biological Substances-Tabulated,” Journal of Microwave Power, Vol. 15, No. 1, pp. 19–26, 1980.Google Scholar
  21. 21.
    P. J. Dimbylow and O. P. Gandhi. “Finite-Difference Time-Domain Calculations of SAR in a Realistic Heterogeneous Model of the Head for Plane-Wave Exposure from 600 MHz to 3 GHz.” Physics in Medicine and Biology, Vol. 36, pp. 1075–1089, 1991.CrossRefADSGoogle Scholar
  22. 22.
    C. Gabriel, personal communication.Google Scholar
  23. 23.
    D. W. Deno, “Currents Induced in the Human Body by High Voltage Transmission Line Electric Field — Measurement and Calculation of Distribution and Dose,” IEEE Transactions on Power Apparatus and Systems, Vol. 96. pp. 1517–1527, 1977.CrossRefGoogle Scholar
  24. 24.
    W. T. Kaune and W. C. Forsythe, “Current Densities Measured in Human Models Exposed to 60-Hz Electric Fields,” Bioelectromagnetics, Vol. 6, pp. 13–32, 1985.CrossRefGoogle Scholar
  25. 25.
    J. DiPlacido, C. H. Shih, and B. J. Ware. “Analysis of the Proximity Effects in Electric Field Measurements,” IEEE Transactions on Power Apparatus and Systems, Vol. 97, pp. 2167–2177, 1978.CrossRefGoogle Scholar
  26. 26.
    O. P. Gandhi and J. Y. Chen, “Numerical Dosimetry at Power-Line Frequencies Using Anatomically Based Models,” Bioelectromagnetics Supplement I, pp. 43–60, 1992.Google Scholar
  27. 27.
    A. C. Eycleshymer and D. M. Schoemaker, A Cross-Section Anatomy, Appleton-Century-Crofts, New York, 1970.Google Scholar
  28. 28.
    L. A. Geddes and L. E. Baker, “The Specific Resistance of Biological Materials — A Compendium of Data for the Biomedical Engineer and Physiologist,” Med. and Biol. Engng., Vol. 5. pp. 271–293, 1967.CrossRefGoogle Scholar
  29. 29.
    E. Zheng, S. Shao, and J. G. Webster, “Impedance of Skeletal Muscle from 1 Hz to I MHz,” IEEE Transactions on Biomedical Engineering, Vol. BME-31, pp. 477–481, 1984.CrossRefGoogle Scholar
  30. 30.
    C. H. Durney et al., Radiofrequency Radiation Dosimetry Handbook, Second Edition, Report SAM-TR-78-22, prepared for USAF School of Aerospace Medicine (AFSC). Brooks Air Force Base, Texas, 78235, May 1978.Google Scholar
  31. 31.
    S.G. Allen, J. H. Bernhardt, C. M. H. Driscoll, M. Grandolfo, G. F. Mariutti, R. Matines, A. F. McKinlay, M. Steinmetz, P. Vecchia, and M. Whillock. “Proposals for Basic Restrictions for Protection Against Occupational Exposure to Electromagnetic Nonionizing Radiations. Recommendations of an International Working Group Set Up Under the Auspices of the Commission of European Communities,” Physica Medica, Vol. VII, pp. 77–89, 1991.Google Scholar
  32. 32.
    IRPA. “Interim Guidelines on Limits of Exposure to 50/60-Hz Electric and Magnetic Fields,” Health Physics, Vol. 58, pp. 113–122, 1990.Google Scholar

Copyright information

© Plenum Press 1996

Authors and Affiliations

  • O. P. Gandhi
    • 1
  • J. Y. Chen
    • 1
  1. 1.Department of Electrical EngineeringUniversity of UtahSalt Lake City

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