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2012-10-15
Simple Formula and Its Exact Analytic Solution of Mutual Impedance for Nonplanar-Skew Dipoles
By
Progress In Electromagnetics Research, Vol. 132, 551-570, 2012
Abstract
The analysis of an antenna mutual coupling is a significant issue for designing the wireless communication system especially includes an array mutual coupling problem. The accurate analysis of the mutual coupling between antennas is needed. Accordingly, several methods for the mutual impedance calculation of dipoles have been studied in cases of coplanar-skew and nonplanar-skew. This paper proposes an exact and simple method for analyzing the mutual impedance between two arbitrarily located and slanted dipoles using the modified induced EMF method; their expressions and the exact analytic solution. The proposed formula and their closed-form solutions are verified by numerical solution using HFSS and give good agreement.
Citation
Jung-Hoon Han, Won-Young Song, Kyoung-Sub Oh, and Noh-Hoon Myung, "Simple Formula and Its Exact Analytic Solution of Mutual Impedance for Nonplanar-Skew Dipoles," Progress In Electromagnetics Research, Vol. 132, 551-570, 2012.
doi:10.2528/PIER12083002
References

1. Zhang, Y., Q. Wan, and A.-M. Huang, "Localization of narrow band sources in the presence of mutual coupling via sparse solution finding," Progress In Electromagnetics Research, Vol. 86, 243-257, 2008.
doi:10.2528/PIER08090703

2. Liu, Y., Z.-P. Nie, and Q. H. Liu, "A new method for the synthesis of non-uniform linear arrays with shaped power patterns," Progress In Electromagnetics Research, Vol. 107, 349-363, 2010.
doi:10.2528/PIER10060912

3. Dib, N. I., S. K. Goudos, and H. Muhsen, "Application of Taguchi's optimization method and self-adaptive differential evolution to the synthesis of linear antenna arrays ," Progress In Electromagnetics Research, Vol. 102, 159-180, 2010.
doi:10.2528/PIER09122306

4. Costa-Quintana, J. and F. Lopez-Aguilar, "Propagation of electromagnetic waves in material media with magnetic monopoles," Progress In Electromagnetics Research, Vol. 110, 267-295, 2010.
doi:10.2528/PIER10091302

5. Sesnic, S., D. Poljak, and S. V. Tkachenko, "Time domain analytical modeling of a straight thin wire buried in a lossy medium," Progress In Electromagnetics Research, Vol. 121, 485-504, 2011.
doi:10.2528/PIER11072109

6. Balanis, C. A., "Antenna Theory," John Wiley & Sons, Inc., 2005.

7. Ostadzadeh, S. R., M. Soleimani, and M. Tayarani, "A fuzzy model for computing input impedance of two coupled dipole antennas in the echelon form," Progress In Electromagnetics Research, Vol. 78, 265-583, 2008.
doi:10.2528/PIER07091004

8. Wang, W. T., S. X. Gong, Y. J. Zhang, F. T. Zha, and J. Ling, "Low RCS dipole array synthesis based on MoM-PSO hybrid algorithm," Progress In Electromagnetics Research, Vol. 94, 119-132, 2009.
doi:10.2528/PIER09060902

9. He, Q. Q. and B. Z. Wang, "Radiation patterns synthesis for a conformal dipole antenna array," Progress In Electromagnetics Research, Vol. 76, 327-340, 2007.
doi:10.2528/PIER07071801

10. Khaleghi, A., "Diversity techniques with parallel dipole antennas: Radiation pattern analysis," Progress In Electromagnetics Research, Vol. 64, 23-42, 2006.
doi:10.2528/PIER06062401

11. Wang, Q. and Q. Q. He, "An arbitrary conformal array pattern synthesis method that includes mutual coupling and platform effects," Progress In Electromagnetics Research, Vol. 110, 297-311, 2010.
doi:10.2528/PIER10092204

12. Kamarudin, M. R. B., P. S. Hall, F. Colombel, and M. Himdi, "Electronically switched beam disk-loaded monopole array antenna," Progress In Electromagnetics Research, Vol. 101, 339-347, 2010.
doi:10.2528/PIER10010808

13. Litman, A., J.-M. Geffrin, and H. Tortel, "On the calibration of a multistatic scattering matrix measured by a fixed circular array of antennas," Progress In Electromagnetics Research, Vol. 110, 1-21, 2010.
doi:10.2528/PIER10090302

14. Ge, G.-D., D. Wang, and B.-Z. Wang, "Subwavelength array of planar triangle monopoles with cross slots based on far-field time reversal," Progress In Electromagnetics Research, Vol. 114, 429-441, 2011.

15. Viitanen, A. J. and I. Hänninen, "Analytical model for regular dense arrays of planar dipole scatterers," Progress In Electromagnetics Research, Vol. 38, 97-110, 2002.
doi:10.2528/PIER02091601

16. Yatsenko, V. and S. Maslovski, "Electromagnetic interaction of parallel arrays of dipole scatterers," Progress In Electromagnetics Research, Vol. 25, 285-307, 2000.
doi:10.2528/PIER99060401

17. Yousefzadeh, N., C. Ghobadi, and M. Kamyab, "Consideration of mutual coupling in a microstrip patch array using fractal elements," Progress In Electromagnetics Research, Vol. 66, 41-49, 2006.
doi:10.2528/PIER06081401

18. Wang, Q. and Q.-Q. He, "An arbitrary conformal array pattern synthesis method that include mutual coupling and platform effects," Progress In Electromagnetics Research, Vol. 110, 297-311, 2010.
doi:10.2528/PIER10092204

19. Wang, W.-B., Q. Y. Feng, and D. Liu, "Application of chaotic particle swarm optimization algorithm to pattern synthesis of antenna arrays ," Progress In Electromagnetics Research, Vol. 115, 173-189, 2011.

20. Li, R., L. Xu, X. W. Shi, N. Zhang, and Z. Q. Lv, "Improved differential evolution strategy for antenna array pattern synthesis problems," Progress In Electromagnetics Research, Vol. 113, 429-441, 2011.

21. Sun, B. H., S. G. Zhou, Y. F. Wei, and Q. Z. Liu, "Modified two-element Yagi-Uda antenna with tunable beams," Progress In Electromagnetics Research, Vol. 100, 175-187, 2010.
doi:10.2528/PIER09111501

22. Liang, J. and D. Liu, "Two L-shaped array-based 2-D DOAs estimation in the presence of mutual coupling," Progress In Electromagnetics Research, Vol. 112, 273-298, 2012.

23. Hill, D., "Linear dipole response in a reverberation chamber," IEEE Transactions on Electromagnetic Compatibility, Vol. 41, No. 4, 365-368, Nov. 1999.
doi:10.1109/15.809821

24. Calrberg, U., P.-S. Kildal, and J. Carlsson, "Study of antennas in reverberation chamber using method of moments with cavity Green's function calculated by Ewald summation ," IEEE Transactions on Electromagnetic Compatibility, Vol. 47, No. 4, 805-814, Nov. 2005.

25. Zhao, H. P. and Z. X. Shen, "Modal-expansion analysis of a monopole in vibrating reverberation chamber," Progress In Electromagnetics Research, Vol. 85, 303-322, 2008.
doi:10.2528/PIER08090209

26. King, H. E., "Mutual impedance of unequal length antennas in echelon," IRE Transactions on Antennas and Propagation, Vol. 5, No. 3, Jul. 1957.

27. Chang, V. and R. King, "On two arbitrarily located identical parallel antennas," IEEE Transactions on Antennas and Propagation, Vol. 16, No. 3, May 1968.

28. Popovic, B. D., "Analysis of two identical parallel arbitrarily located thin asymmetrical antennas," Proc. Inst. Elect. Eng., Vol. 117, No. 9, 1735-1740, Sep. 1970.
doi:10.1049/piee.1970.0311

29. Surutka, J. V., "Self and mutual impedance of two parallel staggered dipoles by variational method," The Radio and Electronic Engineer, Vol. 41, No. 6, 257-264, Jun. 1971.
doi:10.1049/ree.1971.0084

30. Janaswamy, R., "A simple expression for the self/mutual impedance between coplanar and parallel surface monopoles," IEEE Transactions on Antennas and Propagation, Vol. 35, No. 10, 1174-1176, Oct. 1987.
doi:10.1109/TAP.1987.1143988

31. Koksal, A. and J. F. Kauffman, "Mutual impedance of parallel and perpendicular coplanar surface monopoles," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 8, 1251-1256, Aug. 1991.
doi:10.1109/8.97367

32. Papakanellos, P. J. and C. N. Capsalis, "Study of two arbitrarily located parallel cylindrical dipoles based on an auxiliary sources technique," Electromagnetics, Vol. 23, No. 5, 399-416, 2003.
doi:10.1080/02726340390203153

33. Murray, F. H., "Mutual impedance of two skew antenna wires," Proc. Inst. Radio Eng., Vol. 21, No. 1, 154-158, Jan. 1933.

34. King, R. and C. W. Harrison, "The receiving antenna," Proceedings of the IRE, Vol. 32, No. 1, 18-34, Jan. 1944.
doi:10.1109/JRPROC.1944.232736

35. Richmond, J. H. and N. H. Geary, "Mutual impedance between coplanarskew dipoles," IEEE Transactions on Antennas and Propagation, Vol. 18, No. 3, 414-446, May 1970.
doi:10.1109/TAP.1970.1139705

36. Richmond, J. H., "Coupled linear antennas with skew orientation," IEEE Transactions on Antennas and Propagation, Vol. 18, No. 5, 694-696, Sep. 1970.
doi:10.1109/TAP.1970.1139751

37. Han, J. H. and N. H. Myung, "Exact and simple calculation of mutual impedance for coplanar-skew dipoles," IET Electronics Letters, Vol. 48, No. 8, 423-425, Apr. 2012.
doi:10.1049/el.2012.0420

38. Richmond, J. H. and N. H. Geary, "Mutual impedance of nonplanar skew sinusoidal dipoles," IEEE Transactions on Antennas and Propagation, Vol. 23, No. 3, 412-414, May 1975.
doi:10.1109/TAP.1975.1141083

39. Chuang, C. W., J. H. Richmond, N. Wang, and P. H. Pathak, "New expressions for mutual impedance of nonplanar skew sinusoidal monopoles," IEEE Transactions on Antennas and Propagation, Vol. 38, No. 2, 275-276, Feb. 1990.
doi:10.1109/8.45132

40. Liu, K., C. A. Balanis, and G. C. Barber, "Exact mutual impedance between sinusoidal electric and magnetic dipoles," IEEE Transactions on Antennas and Propagation, Vol. 39, No. 5, 684-686, May 1991.
doi:10.1109/8.81503

41. Schmidt, K. E., "Simplified mutual impedance of nonplanar skew dipoles," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 9, 1298-1299, Sep. 1996.
doi:10.1109/8.535390

42. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, 187, Academic press, Inc., 1980.