volume | PIER Journals

Abstract

An applicable and convenient method is critical for calculating the RCS (Radar Cross Sections) of chaff clouds. An improved method based on direct method [18] is proposed in this paper to promote efficiency, which is called SPMDM (Singular Points Meshing Direct Method). The tanh-sinh method is applied in SPMDM to compute the complex singular function in which the integral domain is meshed by the singular points. The practicability and accuracy of the SPMDM are confirmed through comparison with direct method. Results indicate that the SPMDM can significantly decrease calculation time and increase computing efficiency, especially in large-scale case or small relative error region.

1. Peyton, Z. and J. R. Peebles, "Bistatic radar cross sections of chaff," IEEE Transaction on Aerospace and Electronic Systems, Vol. 20, No. 2, 128-140, 1984. Google Scholar

2. Sun, P., Q. Cai, J. Tang, et al. "On spreading chaff cloud for countering the terminal guidance missile," IEEE Cie International Conference on Radar. IEEE, 845-849, 2012. Google Scholar

3. Ceperuelo, M., M. C. Llasat, L. L´opez, et al. "Study of 11 September 2004 hailstorm event using radar identification of 2-D systems and 3-D cells," Advances in Geosciences, 7, 2006. Google Scholar

4. Martner, B. E., J. D. Marwitz, and R. A. Kropfli, "Radar observations of transport and diffusion in clouds and precipitation using TRACIR," Journal of Atmospheric & Oceanic Technology, Vol. 9, No. 3, 226-241, 1992.
doi:10.1175/1520-0426(1992)009<0226:ROOTAD>2.0.CO;2 Google Scholar

5. Klimowski, B. A., R. Becker, E. A. Betterton, et al. "The 1995 Arizona program: Toward a better understanding of winter storm precipitation development in mountainous terrain," Bulletin of the American Meteorological Society, Vol. 79, No. 5, 799-813, 1998.
doi:10.1175/1520-0477(1998)079<0799:TAPTAB>2.0.CO;2 Google Scholar

6. Tang, B., K. Y. Guo, J. P. Wang, et al. "The correlation characteristics of channel matrix of chaff-supported MIMO system," IEEE Ant. & Wireless Propagat. Letts., Vol. 13, 1509-1512, 2014.
doi:10.1109/LAWP.2014.2343332 Google Scholar

7. Tang, B., H. M. Li, and X. Q. Sheng, "Jamming recognition method based on the full polarisation scattering matrix of chaff clouds," IET Microwaves Antennas & Propagation, Vol. 6, No. 13, 1451-1460, 2012.
doi:10.1049/iet-map.2012.0297 Google Scholar

8. Hang, H., Z. Tong, S. Chai, and Y. Zhang, "Experimental and numerical study of chaff cloud kinetic performance under impact of high speed airflow," Chinese Journal of Aeronautics, Vol. 31, No. 11, 2080-2092, 2018.
doi:10.1016/j.cja.2018.08.002 Google Scholar

9. Li, Z. H. and L. S. Wang, "Modeling study on holistic kinetic performance of chaff cloud," Journal of System Simulation, Vol. 21, No. 4, 928-877, 2009. Google Scholar

10. Li, Z. H., J. Liang, S. X. Li, et al. "Computing study on holistic aerodynamics of chaff cloud covering various flow regimes," Acta Aerodynamica Sinica, Vol. 29, No. 1, 59-67, 2011. Google Scholar

11. Lv, M. M., "Motion characteristics of chaff cloud in the air," Electronic Component & Device Applications, 2012. Google Scholar

12. Feng, D. J., X. S. Wang, and J. Q. Liu, "Jamming effect analysis of chaff cloud on ground-based radar and its application," Modern Radar, 2010. Google Scholar

13. VanVleck, J. H., F. BIoch, and M. Hammermesh, "Theory of radar reflections from wires and thin metallic strips," Journal of Applied Physics, Vol. 18, No. 3, 274-294, 1947.
doi:10.1063/1.1697649 Google Scholar

14. Dike, S. H. and D. D. King, "The absorption gain and backscattering cross section of the cylindrical antenna," Proceeding of IRE, Vol. 40, No. 7, 853-860, 1952.
doi:10.1109/JRPROC.1952.273853 Google Scholar

15. Tai, C. T., "Electromagnetic backscattering from cylindrical wires," Journal of Applied Physics, Vol. 23, 909-916, 1952.
doi:10.1063/1.1702329 Google Scholar

16. Cassedy, E. S. and J. Fainberg, "Back scattering cross sections of cylindrical wires of finite conductivity," IRE Transactions on Antennas and Propagation, Vol. 8, No. 1, 1-70, 1960.
doi:10.1109/TAP.1960.1144803 Google Scholar

17. De Bettencourt, J. T., "Bistatic cross sections of cylindrical wires," Sci. Rep. Inc., Needham, MA, 1961. Google Scholar

18. Ufimtsev, P. Ya., "Diffraction of plane electromagnetic waves by a thin cylindrical conductor," Radio Eng. Electron. Phys., Vol. 7, No. 3, 241-249, 1962. Google Scholar

19. Fialkovskii, A. T., "Scattering of plane electromagnetic waves by a thin cylindrical conductor of finite length," Soviet Phys. Tech. Phys., Vol. 11, No. 1, 1300-1304, 1967. Google Scholar

20. Einarsson "The current distribution on cylindrical antennas of arbitrary length," Trans. Roy, Inst. Tech. Stockholm, 1963. Google Scholar

21. Hallen, E., Electromagnetic Theory, Wiley, New York, 1962.

22. Dedrick, K. G., A. R. Hessing, and G. L. Johnson, "Bistatic radar scattering by randomly oriented wires," IEEE Transactions on Antennas and Propagation, Vol. 26, No. 3, 420-426, 1981.
doi:10.1109/TAP.1978.1141862 Google Scholar

23. Ashrafi, D., H. Uberall, and A. Nagl, "The resonance structure of the bistatic radar scattering cross section of randomly oriented dipoles," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 7, 975-994, 1992. Google Scholar

24. Guo, Y. and H. Uberall, "Bistatic radar scattering by a chaff cloud," IEEE Transactions on Antennas and Propagation, Vol. 40, No. 7, 837-841, 1992.
doi:10.1109/8.155750 Google Scholar

25. Cross, J. L., "Response of arrays to stochastic fields,", Ph. D. Dissertatio, University of Florida, Gainesville, 1969. Google Scholar

26. Marcus, S. W., "Bistatic RCS of spherical chaff clouds," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 9, 4091-4099, 2015.
doi:10.1109/TAP.2015.2452963 Google Scholar

27. Pinchot, J. L., O. Bechu, and P. Pouliguen, "A chaff cloud modelisation," IEEE International Symposium on Antenna Technology & Applied Electromagnetics, 2017. Google Scholar

28. Butter, B. C. and F. Chaff, "Communications, radar and signal processing," IEEE Proceedings, Vol. 129, No. 3, 197-201, 1982. Google Scholar

29. Takahasi, H. and M. Mori, "Double exponential formulas for numerical integration," European Mathematical Society Publishing House, Vol. 9, No. 3, 721-741, 1973. Google Scholar

30. Baileya, D. H., K. Jeyabalanb, and X. S. Li, "A comparison of three high-precision quadrature schemes," Experimental Mathematics, Vol. 14, No. 3, 317-329, 2005.
doi:10.1080/10586458.2005.10128931 Google Scholar

31. Baileya, D. H., Borwein, and M. Jonathan, "Highly parallel, high-precision numerical integration,", Lawrence Berkeley National Laboratory, 2005.
doi:10.1080/10586458.2005.10128931 Google Scholar

Dr. Chuan Yin

Dr. Pengquan Zhang

Dr. Zhonghai Zhang