Improving the Efficiency of Computing Electromagnetic Fields from a Lossy Dielectric Cylinder due to a Line Source
Keywords:
Bioelectromagnetics, creeping waves, SageMathTM, Watson transform, WBANAbstract
This paper describes analysis of electromagnetic fields from a lossy dielectric cylinder due to a line source. Series solutions for the electromagnetic fields internal and external to the cylinder are derived. Convergence is accelerated using the Watson transformation and the “fast_callable” function in the SageMathTM open source software. The series convergence is increased by a factor of nearly 80 using these techniques. Implementation of the Watson transform is also discussed. Applications include propagation analysis for simulating wireless body area networks and communications with wireless biosensors.
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References
I. Khan, P. S. Hall, A. A. Serra, A. R. Guraliuc, and P. Nepa, “Diversity performance analysis for on-body communications channels at 2.45 GHz,” IEEE Trans. Antennas Propag., vol. 57, pp. 956- 963, April 2009.
Q. B. Abbasi, M. M. Khan, and Y. Hao, “Diversity antenna techniques for enhanced ultra wideband body-centric communications,” 2011 IEEE APSURSI Symp., pp. 1323-1326, 2011.
T. Mavridis, L. Petrillo, J. Sarrazin, D. Lautru, A. B. Delai, and P. De Doncker, “Creeping wave model of diffraction of an obliquely incident plane wave by a circular cylinder at 60 GHz,” IEEE Trans. Antennas Propag., vol. 62, no. 3, pp. 1372- 1377, March 2014.
L. Petrillo, T. Mavridis, J. Sarrazin, D. Lautru, A. B. Delai, and P. De Doncker, “Analyical creeping wave model and measurements for 60 GHz body area networks,” IEEE Trans. Antennas Propag., vol. 62, no. 8, pp. 4352-4356, August 2014.
N. Rezaei, D. Majumdar, B. Cockburn, and C. Schlegal, “Electromagnetic energy and data transfer in biological tissues using loop antennas,” 2013 International Workshop on Body Area Sensor Networks (BASNet-2013), pp. 908-913, 2013.
Sage Math, http://www.sagemath.org/
Dielectric properties of Body Tissues, http:// niremf.ifac.cnr.it/tissprop/htmlclie/htmlclie.php
G. Tyras, Radiation and Propagation of Electromagnetic Waves. Academic Press, 1969.
D. S. Jones, Methods in Electromagnetic Wave Propagation. 2nd ed., IEEE Press, pp. 522-530, 1995.
Morse and Feshbach, Methods of Theoretical Physics. vol. 1, McGraw-Hill, pp. 467, 817, 1953.
NIST Handbook of Mathematical Functions, Cambridge University Press, p. 227, 2010.
Y. A. Brychkov, “Higher derivatives of the Bessel functions with respect to the order,” Integral Transforms and Special Functions, April 2016.
S. E. Sandstrom and C. Ackren, “Note on the complex zero's of H' (x) + iH (x) = 0,” Journal of Computational and Applied Mathematics, 201, pp. 3-7, 2007.
J. O. Cochran, “The zeroes of Hankel functions as functions of their order,” Numerische Mathematik, 7, pp. 238-250, 1965.
CST Microwave Studio, Darmstadt, Germany.
Title 47, CFR Part 15 - Radio Frequency Devices, US Government Printing Office, 2015.
