2020-01-31
Modal Analysis Based on an Integral Equation Method for Characterizing Wireless Channels in a Fully-Enclosed Environment
By
Progress In Electromagnetics Research B, Vol. 86, 59-76, 2020
Abstract
Wireless communication and/or wireless power transmission are highly desired in some of the practical environments fully enclosed by conducting walls. In this paper, a semi-analytical modal analysis is conducted for the purpose of characterizing wireless channels in a fully-enclosed space. The modal analysis is based upon an integral equation method. The cavity Green's function in the spectral domain (that is, expressed in term of cavity modes) is employed in the integral equation. The analysis results indicate that, when a transmitter and a receiver are symmetric to each other with respect to a certain cavity mode, the load of the receiver could be coupled to the transmitter with little dispersion, leading to excellent wireless channels with the potential of accomplishing efficient wireless communication and/or wireless power transmission. A cubic cavity with a side length of 1 meter is analyzed as a specific example, and the modal analysis results are verified by experiments. Measurement data agree with the theoretical analysis very well. As predicted by the theoretical analysis, excellent wireless channels associated with the TM220 mode (with a bandwidth of 40 MHz), TM310 mode (with a bandwidth of 10 MHz), and TM311 mode (with a bandwidth of 20 MHz) are demonstrated inside a cubic box with side length of 1 meter.
Citation
Xin Wang, Han Cheng, Xuemei Cao, Chen Chen, and Mingyu Lu, "Modal Analysis Based on an Integral Equation Method for Characterizing Wireless Channels in a Fully-Enclosed Environment," Progress In Electromagnetics Research B, Vol. 86, 59-76, 2020.
doi:10.2528/PIERB19091005
References

1. Barton, R. J., S. W. Raymond, and W. F. Patrick, "Space applications of low-power active wireless sensor networks and passive RFID tags," Wireless Sensor and Mobile Ad-Hoc Networks, D. Benhaddou and A. Al-Fuqaha (eds.), 97-127, Springer, New York, 2015.        Google Scholar

2. Wu, J., J. Liang, X. Wang, C. Chen, X. Zhang, and M. Lu, "Feasibility study of efficient wireless power transmission in satellite interior," Microwave and Optical Technology Letters, Vol. 58, No. 10, 2518-2522, October 2016.
doi:10.1002/mop.30082        Google Scholar

3. Panitz, M. and D. C. Hope, "Characteristics of wireless systems in resonant environments," IEEE Electromagnetic Compatibility Magazine, Vol. 3, No. 3, 64-75, October 2014.
doi:10.1109/MEMC.2014.6924331        Google Scholar

4. Hope, D. C., "Towards a wireless aircraft,", Ph.D. dissertation, University of York, United Kingdom, 2011.        Google Scholar

5. Centeno, A. and N. Alford, "Measurement of ZigBee wireless communications in mode-stirred and mode-tuned reverberation chamber," Progress In Electromagnetics Research M, Vol. 18, 171-178, 2011.
doi:10.2528/PIERM11040707        Google Scholar

6. Hope, D., J. Dawson, A. Marvin, M. Panitz, C. Christopoulos, and P. Sewell, "Assessing the performance of ZigBee in a reverberant environment using a mode stirred chamber," IEEE International Symposium on Electromagnetic Compatibility, Detroit, Michigan, August 2008.        Google Scholar

7. Panitz, M., C. Christopoulos, P. Sewell, D. Hope, J. Dawson, and A. Marvin, "Modelling wireless communication in highly-multipath low-loss environments," The International Symposium on Electromagnetic Compatibility - EMC Europe, Hamburg, Germany, September 2008.        Google Scholar

8. Van't Hof, J. P. and D. D. Stancil, "Wireless sensors in reverberant enclosures: Characterizing a new radio channel," IEEE 62nd Vehicular Technology Conference, Dallas, Texas, September 2005.        Google Scholar

9. Hwu, S. U., B. A. Rhodes, B. Kanishka deSilva, C. C. Sham, and J. R. Keiser, "RF exposure analysis for multiple Wi-Fi devices in enclosed environment," IEEE Sensors Applications Symposium, Galveston, Texas, February 2013.        Google Scholar

10. Recanatini, R., F. Moglie, and V. Mariani Primiani, "Performance and immunity evaluation of complete WLAN systems in a large reverberation chamber," IEEE Transactions on Electromagnetic Compatibility, Vol. 55, No. 5, 806-815, October 2013.
doi:10.1109/TEMC.2013.2239636        Google Scholar

11. Konefal, T., J. F. Dawson, A. C. Denton, T. M. Benson, C. Christopoulos, A. C. Marvin, S. J. Porter, and D. W. P. Thomas, "Electromagnetic coupling between wires inside a rectangular cavity using multiple-mode-analogous-transmission-line circuit theory," IEEE Transactions on Electromagnetic Compatibility, Vol. 43, No. 3, 273-281, 2001.
doi:10.1109/15.942600        Google Scholar

12. Nanni, A., D. W. P. Thomas, C. Christopoulos, T. Konefal, J. Paul, L. Sandrolini, U. Reggiani, and A. Massarini, "Electromagnetic coupling between wires and loops inside a rectangular cavity using multi-mode transmission line theory," International Symposium on Electromagnetic Compatibility - EMC Europe, Eindhoven, The Neatherlands, September 2004.        Google Scholar

13. Chabalko, M. J. and A. P. Sample, "Resonant cavity mode enabled wireless power transfer," Applied Physics Letters, Vol. 105, No. 24, 243902, 2014.
doi:10.1063/1.4904344        Google Scholar

14. Chabalko, M. J., M. Shahmohammadi, and A. P. Sample, "Quasistatic cavity resonance for ubiquitous wireless power transfer," PLoS ONE, Vol. 12, No. 2, e0169045, 2017.
doi:10.1371/journal.pone.0169045        Google Scholar

15. Mei, H., K. A. Thackston, R. A. Bercich, J. G. R. Jefferys, and P. P. Irazoqui, "Cavity resonator wireless power transfer system for freely moving animal experiments," IEEE Transactions on Biomedical Engineering, Vol. 64, No. 4, 775-785, April 2017.
doi:10.1109/TBME.2016.2576469        Google Scholar

16. Korhummel, S., A. Rosen, and Z. Popovic, "Over-moded cavity for multiple-electronic-device wireless charging," IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 4, 1074-1079, April 2014.
doi:10.1109/TMTT.2014.2300049        Google Scholar

17. Chabalko, M. J. and A. P. Sample, "Three-dimensional charging via multi-mode resonant cavity enabled wireless power transfer," IEEE Transactions on Power Electronics, Vol. 30, No. 11, 6163-6173, November 2015.
doi:10.1109/TPEL.2015.2440914        Google Scholar

18. Wang, X., C. Chen, H. Wong, and M. Lu, "A reconfigurable scheme of wireless power transmission in fully enclosed environments," IEEE Antennas and Wireless Propagation Letters, Vol. 16, 2959-2962, 2017.
doi:10.1109/LAWP.2017.2755641        Google Scholar

19. Tsai, L. L., "A numerical solution for the near and far fields of an annular ring of magnetic current," IEEE Transactions on Antennas and Propagation, Vol. 20, No. 5, 569-576, September 1972.
doi:10.1109/TAP.1972.1140283        Google Scholar

20. Tai, C.-T. and P. Rozenfeld, "Different representations of dyadic Green’s functions for a rectangular cavity," IEEE Transactions on Microwave Theory and Techniques, Vol. 24, No. 9, 597-601, September 1976.
doi:10.1109/TMTT.1976.1128914        Google Scholar

21. Lu, M., J. W. Bredow, S. Jung, and S. Tjuatja, "Evaluation of Green's functions of rectangular cavities around resonant frequencies in the method of moments," IEEE Antennas and Wireless Propagation Letters, Vol. 8, 204-208, 2009.        Google Scholar

22. Lu, M. and S. Jung, "On the well-posedness of integral equations associated with cavity Green's functions around resonant frequencies," Microwave and Optical Technology Letters, Vol. 51, No. 6, 1476-1481, June 2009.
doi:10.1002/mop.24360        Google Scholar

23. Hill, D. A., Electromagnetic Fields in Cavities: Deterministic and Statistical Theories, 7-8, Wiley-IEEE Press, 2009.
doi:10.1002/9780470495056