Vol. 6
Latest Volume
All Volumes
PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2008-05-21
A Stable Marching-on-in-Time Scheme for Wire Scatterers Using a Newmark-Beta Formulation
By
Progress In Electromagnetics Research B, Vol. 6, 337-360, 2008
Abstract
The aim of this workis to increase the instability of the marching-on-in-time (MOT) method that is used in the analysis of wide-band electromagnetic pulse scattering from structures made of thin wires. The stability problem has been identified with the advent of the MOT method in 1991, and although several improvements have been suggested to overcome this difficulty no exact solution has been found [1]. In this thesis two methods (the Newmark-Beta formulation and the analytic integration) to suppress the instabilities of the MOT algorithm for thin wire scatterers have been proposed and their effects on the stability have been inspected. The results are compared with the results obtained with time domain method of moments (MOM) [2] and it is observed that the results are both stable and accurate. It is shown how the stability is changed by a determined β parameter. Also, Newmark-Beta formulation results for selected different types of structures such as dipole antenna illuminated by a Gaussian pulse given in [3], three pole structure given in [4], loop antenna given in [3] has been shown.
Citation
Sena Bayer A. A. Ergin , "A Stable Marching-on-in-Time Scheme for Wire Scatterers Using a Newmark-Beta Formulation," Progress In Electromagnetics Research B, Vol. 6, 337-360, 2008.
doi:10.2528/PIERB08031215
http://www.jpier.org/PIERB/pier.php?paper=08031215
References

1. Shanker, B., A. A. Ergin, K. Aygun, and E. Michielssen, "Analysis of transient electromagnetic scattering from closed surfaces using a combined field integral equation," IEEE Trans. Antennas Propagat., Vol. 48, No. 7, 1064-1074, 2000.
doi:10.1109/8.876325

2. Ozsoy, S., Ince tellerden olusan yapılardan sacılma analizi ıcin zamana ve frekansa baglııki cozucu, Gebze Institute of Technology, 2003.

3. Ji, Z., T. K. Sarkar, B. H. Jung, Y. S. Chung, M. Salazar-Palma, and M. Yuan, "A stable solution of time domain electric field integral equation for thin-wire antennas using the Laguerre polynomials," IEEE Trans. Antennas Propagat., Vol. 52, 2641-2649, 2004.
doi:10.1049/ip-map:20045113

4. Guarnieri, G., S. Selleri, G. Pelosi, C. Dedeban, and C. Pichot, "Innovative basis and weight functions for wire junctions in time domain moment method," IEE Proc. --- Microw. Antennas Propag., Vol. 153, 61-66, 2006.

5. Taflove, A., Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, MA, 1996.
doi:10.1109/8.64435

6. Rao, S. M. and D. R. Wilton, "Transient scattering by conducting surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 39, 56-61, 1991.
doi:10.1109/8.144600

7. Vechinski, D. A. and S. M. Rao, "A stable procedure to calculate the transient cattering by conducting surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., Vol. 40, 661-665, 1992.
doi:10.1163/156939390X00762

8. Rynne, B. P. and P. D. Smith, "Stability of time marching algorithms for the electric field integral equation," Journal of Electromagnetic Waves and Applications, Vol. 4, 1181-1205, 1990.

9. Sadigh, A. and E. Arvas, "Treating the instability in matching-on-in-time method from a different perspective," IEEE Trans. Antennas Propagat., Vol. 41, 1993.
doi:10.1080/02726349008908256

10. Smith, P. D., "Instabilities in time marching methods for scattering: Cause and rectification," Electromagn., Vol. 10, 439-451, 1990.

11. Hu, J. L., C. H. Chan, and Y. Xu, "A new temporal basis function for the time-domain integral equation method," IEEE Microwave and Wireless Communications, Vol. 11, No. 11, 2001.
doi:10.1109/22.971606

12. Wang, Y. and T. Itoh, "Envelope-Finite-Element (EVFE) technique a more efficient time-domain scheme," IEEE Transactions on Microwave Theory and Techniques, Vol. 49, 2241-2247, 2001.
doi:10.1109/8.558668

13. Manara, G., A. Monorchio, and R. Reggiannini, "A space-time discretization criterion for a stable time-marching solution of the electric field integral equation," IEEE Trans. Antennas Propagat., Vol. 45, 527-532, 1997.

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