Analysis of Multilayer Spherical Head Model Exposed to EM Radiation from Arbitrary Source Using Spherical Vector Wave Functions
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Abstract
A semi-analytical method is presented for the assessment of the induced electromagnetic field inside a multilayer spherical head model exposed to radiation of an arbitrary source antenna. First, the isolated source antenna is simulated in a full-wave software to evaluate its radiation characteristics. By sampling the radiated fields, their spherical vector wave function (SVWF) amplitudes are evaluated. Next, the well-known translation addition theorem for SVWFs is implemented to translate the SVWFs of the radiated fields to the local coordinate system of the head model. It’s assumed that the presence of the head model does not affect the primary radiated fields by the antenna due to the adequate distance between them. By applying the boundary conditions on the head model, the unknown SVWF amplitudes of the induced fields inside each layer as well as those of the scattered field outside the model are evaluated. The verification of the proposed method is shown through some numerical examples. In comparison with a fullwave numerical method, the proposed method provides an efficient repeatable simulation approach due to the independent analysis of the source and head model, provided that the reaction of the head model to the antenna is negligible.
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References
K. S. Nikita, M. Cavagnaro, P. Bernardi, N. K. Uzunoglu, S. Pisa, E. Piuzzi, J. N. Sahalos, G. I. Krikelas, J. A. Vaul, P. S. Excell et al., "A study of uncertainties in modeling antenna performance and power absorption in the head of a cellular phone user," IEEE Transactions on Microwave Theory and Techniques, vol. 48, no. 12, pp. 2676-2685, 2000.
H. Khodabakhshi and A. Cheldavi, "Irradiation of a six-layered spherical model of human head in the near field of a half-wave dipole antenna," IEEE transactions on microwave theory and techniques, vol. 58, no. 3, pp. 680-690, 2010.
X. Kang, L. Li, M. Leong, and P. Kooi, "A method of moments study of SAR inside spheroidal human head and current distribution along handset wire antennas," Journal of Electromagnetic Waves and Applications, vol. 15, no. 1, pp. 61-75, 2001.
S. K. Khamas, "Electromagnetic radiation by antennas of arbitrary shape in a layered spherical media," IEEE transactions on antennas and propagation, vol. 57, no. 12, pp. 3827-3834, 2009.
L. Li, W. Yu, and R. Mittra, "Computation of SAR levels in SAM's head model located inside an automobile via the parallel FDTD algorithm," in 2010 International Conference on Applications of Electromagnetism and Student Innovation Competition Awards (AEM2C). IEEE, 2010, pp. 24- 28.
K. Masumnia-Bisheh, M. Ghaffari-Miab, and B. Zakeri, "Evaluation of different approximations for correlation coefficients in stochastic FDTD to estimate SAR variance in a human head model," IEEE Transactions on Electromagnetic Compatibility, vol. 59, no. 2, pp. 509-517, 2016.
F. Ç. Kunter, C. Gunduz, and S. S. Seker, "Computation of SAR and temperature values in the human head due to 2G, 3G, 4G mobile wireless systems," Journal of Aeronautics and Space Technologies, vol. 11, no. 1, pp. 1-6, 2018.
L. Belrhiti, F. Riouch, A. Tribak, J. Terhzaz, and A. M. Sanchez, "Investigation of dosimetry in four human head models for planar monopole antenna with a coupling feed for LTE/WWAN/WLAN internal mobile phone," Journal of Microwaves, Optoelectronics and Electromagnetic Applications, vol. 16, pp. 494-513, 2017.
J. E. Hansen, Spherical near-field antenna measurements. IET, 1988, vol. 26.
J. A. Stratton, Electromagnetic theory. JohnWiley & Sons, 2007, vol. 33.
C. Liang and Y. Lo, "Scattering by two spheres," Radio Science, vol. 2, no. 12, pp. 1481-1495, 1967.
M. Alian and H. Oraizi, "Electromagnetic multiple PEC object scattering using equivalence principle and addition theorem for spherical wave harmonics," IEEE Transactions on Antennas and Propagation, vol. 66, no. 11, pp. 6233-6243, 2018.
M. Alian and H. Oraizi, "Application of equivalence principle for EM scattering from irregular array of arbitrarily oriented PEC scatterers using both translation and rotation addition theorems," IEEE Transactions on Antennas and Propagation, vol. 67, no. 5, pp. 3256-3267, 2019.
W. C. Chew, E. Michielssen, J. Song, and J.-M. Jin, Fast and efficient algorithms in computational electromagnetics. Artech House, Inc., 2001.
R. H. MacPhie and K.-L. Wu, "A plane wave expansion of spherical wave functions for modal analysis of guided wave structures and scatterers," IEEE Transactions on Antennas and Propagation, vol. 51, no. 10, pp. 2801-2805, 2003.
F. Jensen and A. Frandsen, "On the number of modes in spherical wave expansions," Proc. 26th AMTA, vol. 2, no. 1, pp. 489-494, 2004.
B. Friedman and J. Russek, "Addition theorems for spherical waves," Quarterly of Applied Mathematics, vol. 12, no. 1, pp. 13-23, 1954.
S. Stein, "Addition theorems for spherical wave functions," Quarterly of Applied Mathematics, vol. 19, no. 1, pp. 15-24, 1961.
"CST studio suite 2019," Darmstadt, Germany, 2019.
P. Hasgall, F. Di Gennaro, C. Baumgartner, E. Neufeld, B. Lloyd, M. Gosselin, D. Payne, A. Klingenböck, and N. Kuster, "IT'IS Database for thermal and electromagnetic parameters of biological tissues," https://itis. swiss/virtual-population/tissue-properties/database/, 2018.
E. P.Wigner and U. Fano, "Group theory and its application to the quantum mechanics of atomic spectra," American Journal of Physics, vol. 28, no. 4, pp. 408-409, 1960.
A. R. Edmonds, Angular momentum in quantum mechanics. Princeton university press, 2016.