Vol. 101
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2010-01-29
An Hybrid Model for the Evaluation of the Full-Wave Far-Field Radiated Emission from PCB Traces
By
Progress In Electromagnetics Research, Vol. 101, 125-138, 2010
Abstract
The paper deals with the evaluation of the far-field radiated emissions from high-speed interconnects when the frequencies are such that the distribution of the currents along the traces is no longer of TEM-type. Instead of a computationally expensive numerical full-wave model, here a generalized transmission line model is used to obtain the current distributions. This full-wave transmission line model is derived from an integral formulation and is here extended to include in efficient way the layered media Green's Functions. The proposed tool is successfully benchmarked to references given in literature and case-studies of practical interest are carried out, referring to a coupled microstrip, driven either by differential and common mode currents. This analysis highlights the existence of a transition range where the error made by evaluating the emission using the classical transmission line current distribution is still negligible. Here a rule of thumb is derived which provides a simple criterion to estimate this extension of the range of validity of the classical transmission line.
Citation
Andrea Gaetano Chiariello Giovanni Miano Antonio Maffucci , "An Hybrid Model for the Evaluation of the Full-Wave Far-Field Radiated Emission from PCB Traces," Progress In Electromagnetics Research, Vol. 101, 125-138, 2010.
doi:10.2528/PIER09120905
http://www.jpier.org/PIER/pier.php?paper=09120905
References

1. Paul, C. R., Introduction to Electromagnetic Compatibility, Wiley, New York, 1992.

2. Gravelle, L. B. and P. F. Wilson, "EMI/EMC in printed circuit boards --- A literature review," IEEE TEMC, Vol. 34, 109-116, 1992.

3. Paul, C. R., "A comparison of the contributions of common-mode currents and differential-mode currents in radiated emissions," IEEE TEMC, Vol. 31, No. 2, 189-193, 1989.

4. Matias, R. M. and A. Raizer, "Calculation of electric field created by transmission lines, by 3D-FE method using complex electric scalar potential," ACES, Journal, Vol. 12, No. 1, 56-60, 1997.

5. Naishadham, K., J. B. Berry, and H. A. N. Hejase, "Full-wave analysis of radiated emission from arbitrarily shaped printed circuit traces," IEEE TEMC, Vol. 35, No. 3, 366-377, 1993.

6. Pinello, W. P., A. C. Cangellaris, and A. Ruehli, "Prediction of differential- and common-mode noise in high-speed interconnects with the partial element equivalent circuit technique," IEEE Intern. Sympos. on EMC, Vol. 2, 940-945, Aug. 1998.

7. Mosig, J., "Arbitrarily shaped microstrip structures and their analysis with a mixed potential integral equation," IEEE Trans. Microwave Theory Tech., Vol. 36, 314-323, Feb. 1988.
doi:10.1109/22.3520

8. Zhao, J. S. and W. C. Chew, "Integral equation solution of Maxwells equations from zero frequency to microwave frequencies," IEEE TAP, Vol. 48, No. 10, 1635-1645, Oct. 2000.

9. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, 1996.

10. Abdelmageed, A. K. and M. S. Ibrahim, "On enhancing the accuracy of evaluating Green's functions for multilayered media in the near-field region," Progress In Electromagnetics Research M, Vol. 2, 1-14, 2008.
doi:10.2528/PIERM08022505

11. Jerse, T. A. and C. Paul, A hybrid method for efficient estimating common-mode radiation from transmission-line structures, Proc. of EM International Symposium Record, 145-149, Atlanta, Aug. 1995.

12. Chen, I. F., C. M. Peng, and C. W. Hsue, "Circuit-concept approach to radiated emissions of printed circuit boards," IEE Proc. Sci. Meas. Tech., Vol. 151, No. 3, 205-210, 2004.
doi:10.1049/ip-smt:20040094

13. Leone, M., "Closed-form expressions for the electromagnetic radiation of microstrip signal traces," IEEE TEMC, Vol. 49, 322-328, 2007.

14. Maffucci, A., G. Miano, and F. Villone, Recent developments of transmission line models for interconnects, PIRES Proceedings, 97-100, Pisa, Italy, Mar. 28--31, 2004.

15. Maffucci, A., G. Miano, and F. Villone, "An enhanced transmission line model for conductors with arbitrary cross-sections," IEEE TAdvP, Vol. 28, 174-188, 2005.

16. Chiariello, A. G., A. Maffucci, G. Miano, F. Villone, and W. Zamboni, "A transmission-line model for full-wave analysis of mixed-mode propagation," IEEE TAdvP, Vol. 31, No. 2, 275-284, 2008.

17. Chiariello, A. G., A. Maffucci, G. Miano, and F. Villone, "Transmission line models for high-speed conventional interconnects and metallic carbon nanotube interconnects," Electromagnetic Field Interaction with Transmission Lines, F. Rachidie and S. Tkachenko (eds.), WIT Press, Southampton, UK, Feb. 2008.

18. Chow, Y. L., J. J. Yang, D. G. Fang, and G. E. Howard, "A closed-form spatial Green's function for the thick microstrip substrate," IEEE T-MTT, Vol. 39, 588-592, 1991.
doi:10.1109/22.75309

19. Michalski, K. A. and J. R. Mosig, "Multilayered media Green's functions in integral equation formulations," IEEE T-AP, Vol. 45, No. 3, 508-519, 1997.

20. Sharma, R., T. Chakravarty, and A. B. Bhattacharyya, "Signal integrity issues in high-speed interconnects over a ground plane aperture," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 16, 2231-2240, 2008.
doi:10.1163/156939308787522500

21. 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