Vol. 13
Latest Volume
All Volumes
PIERL 123 [2025] PIERL 122 [2024] PIERL 121 [2024] PIERL 120 [2024] PIERL 119 [2024] PIERL 118 [2024] PIERL 117 [2024] PIERL 116 [2024] PIERL 115 [2024] PIERL 114 [2023] PIERL 113 [2023] PIERL 112 [2023] PIERL 111 [2023] PIERL 110 [2023] PIERL 109 [2023] PIERL 108 [2023] PIERL 107 [2022] PIERL 106 [2022] PIERL 105 [2022] PIERL 104 [2022] PIERL 103 [2022] PIERL 102 [2022] PIERL 101 [2021] PIERL 100 [2021] PIERL 99 [2021] PIERL 98 [2021] PIERL 97 [2021] PIERL 96 [2021] PIERL 95 [2021] PIERL 94 [2020] PIERL 93 [2020] PIERL 92 [2020] PIERL 91 [2020] PIERL 90 [2020] PIERL 89 [2020] PIERL 88 [2020] PIERL 87 [2019] PIERL 86 [2019] PIERL 85 [2019] PIERL 84 [2019] PIERL 83 [2019] PIERL 82 [2019] PIERL 81 [2019] PIERL 80 [2018] PIERL 79 [2018] PIERL 78 [2018] PIERL 77 [2018] PIERL 76 [2018] PIERL 75 [2018] PIERL 74 [2018] PIERL 73 [2018] PIERL 72 [2018] PIERL 71 [2017] PIERL 70 [2017] PIERL 69 [2017] PIERL 68 [2017] PIERL 67 [2017] PIERL 66 [2017] PIERL 65 [2017] PIERL 64 [2016] PIERL 63 [2016] PIERL 62 [2016] PIERL 61 [2016] PIERL 60 [2016] PIERL 59 [2016] PIERL 58 [2016] PIERL 57 [2015] PIERL 56 [2015] PIERL 55 [2015] PIERL 54 [2015] PIERL 53 [2015] PIERL 52 [2015] PIERL 51 [2015] PIERL 50 [2014] PIERL 49 [2014] PIERL 48 [2014] PIERL 47 [2014] PIERL 46 [2014] PIERL 45 [2014] PIERL 44 [2014] PIERL 43 [2013] PIERL 42 [2013] PIERL 41 [2013] PIERL 40 [2013] PIERL 39 [2013] PIERL 38 [2013] PIERL 37 [2013] PIERL 36 [2013] PIERL 35 [2012] PIERL 34 [2012] PIERL 33 [2012] PIERL 32 [2012] PIERL 31 [2012] PIERL 30 [2012] PIERL 29 [2012] PIERL 28 [2012] PIERL 27 [2011] PIERL 26 [2011] PIERL 25 [2011] PIERL 24 [2011] PIERL 23 [2011] PIERL 22 [2011] PIERL 21 [2011] PIERL 20 [2011] PIERL 19 [2010] PIERL 18 [2010] PIERL 17 [2010] PIERL 16 [2010] PIERL 15 [2010] PIERL 14 [2010] PIERL 13 [2010] PIERL 12 [2009] PIERL 11 [2009] PIERL 10 [2009] PIERL 9 [2009] PIERL 8 [2009] PIERL 7 [2009] PIERL 6 [2009] PIERL 5 [2008] PIERL 4 [2008] PIERL 3 [2008] PIERL 2 [2008] PIERL 1 [2008]
2010-02-18
Fast and Accurate Radar Cross Section Computation Using Chebyshev Approximation in Both Broad Frequency Band and Angular Domains Simultaneously
By
Progress In Electromagnetics Research Letters, Vol. 13, 121-129, 2010
Abstract
To predict the three-dimensional radar cross section (RCS) pattern of an arbitrary shaped perfectly electric conductor objects in both a broad frequency band and angular domains simultaneously, the method of moments (MoM) combined with the Chebyshev polynomial approximation is presented. The induced current is expanded by a bivariate Chebyshev series. Using this function, the induced current can be obtained at any frequency and angle within the desired frequency band and angular domains. Numerical results show that the proposed method is found to be superior in terms of the CPU time to obtain the three-dimensional RCS pattern compared with the direct solution by MoM repeating the calculations at each frequency and angle. Good agreement between the presented method and the direct MoM is observed.
Citation
Jin Ling, Shu-Xi Gong, Bao Lu, Xing Wang, and Wen-Tao Wang, "Fast and Accurate Radar Cross Section Computation Using Chebyshev Approximation in Both Broad Frequency Band and Angular Domains Simultaneously," Progress In Electromagnetics Research Letters, Vol. 13, 121-129, 2010.
doi:10.2528/PIERL10011208
References

1. Harrington, R. F., Field Computation by Moment Methods, IEEE Press, New York, 1993.

2. Zou, Y., Q. Liu, and J. Guo, "Fast analysis of body-of-revolution radomes with method of moments," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 1803-1817, 2007.

3. Hatamzadeh-Varmazyar, S., "A moment method simulation of electromagnetic scattering from conducting bodies," Progress In Electromagnetics Research, Vol. 81, 99-119, 2008.
doi:10.2528/PIER07122502

4. Essid, C., M. B. B. Salah, K. Kochlef, A. Samet, and A. B. Kouki, "Spatial-spectral formulation of method of moment for rigorous analysis of microstrip structures ," Progress In Electromagnetics Research Letters, Vol. 6, 17-26, 2009.
doi:10.2528/PIERL08112706

5. Danesfahani, R., S. Hatamzadeh-Varmazyar, E. Babolian, and Z. Masouri, "Applying shannon wavelet basis functions to the method of moments for evaluating the radar cross section of the conducting and resistive surfaces," Progress In Electromagnetics Research B, Vol. 8, 257-292, 2008.
doi:10.2528/PIERB08062601

6. Bogdanov, F. G., R. G. Jobava, A. L. Gheonjian, E. A. Yavolovskaya, N. G. Bondarenko, T. N. Injgia, and S. Frei, "Development and application of an enhanced MoM scheme with integrated generalized N-port networks ," Progress In Electromagnetics Research M, Vol. 7, 135-148, 2009.
doi:10.2528/PIERM09050801

7. Cockrell, C. R. and F. B. Beck, "Asymptotic waveform evaluation (AWE) technique for frequency domain electromagnetic analysis," NASA Tech. Memo 110292, Nov. 1996.

8. Reddy, C. J. and M. D. Deshpande, "Application of AWE for RCS frequency response calculations using method of moments," NASA Contractor Rep. 4758, Oct. 1996.

9. Reddy, C. J., M. D. Deshpande, C. R. Cockrell, and F. B. Beck, "Fast RCS computation over a frequency band using method of moments in conjunction with asymptotic waveform evaluation technique," IEEE Transactions on Antennas and Propagation, Vol. 46, No. 8, 1229-1233, 1998.
doi:10.1109/8.718579

10. Erdemli, Y. E., J. Gong, C. J. Reddy, and J. L. Volakis, "Fast RCS pattern fill using AWE technique," IEEE Transactions on Antennas and Propagation, Vol. 46, No. 11, 1752-1753, 1998.
doi:10.1109/8.736639

11. Erdemli, Y. E., J. Gong, C. J. Reddy, and J. L. Volakis, "AWE technique in frequency domain electromagnetics," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 13, 359-378, 1999.
doi:10.1163/156939399X00961

12. Mason, J. C. and D. C. Handscomb, Chebyshev Polynomials.

13. Murty, V. N., "Best approximation with Chebyshev polynomials," SIAM J. Numer. Anal., Vol. 8, 717-721, 1971.
doi:10.1137/0708065

14. Raedt, H. D., K. Michielsen, J. S. Kole, and M. T. Figge, "Solving the Maxwell equations by the Chebyshev method: A one-step finite-difierence time-domain algorithm ," IEEE Transactions on Antennas and Propagation, Vol. 51, No. 12, 3155-3160, 2003.
doi:10.1109/TAP.2003.818809

15. Tong, C. M., W. Hong, and N. C. Yuan, "Simultaneous extrapolation of RCS in both angular and frequency domains based on AWE technique ," Microwave optical Technology Letters, Vol. 32, No. 4, 290-293, 2002.
doi:10.1002/mop.10157

16. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Transactions on Antennas and Propagation, Vol. 30, No. 5, 409, May 1982.
doi:10.1109/TAP.1982.1142818