Crossover Frequency and Transmission-Line Matrix Formalism of Electromagnetic Shielding Properties of Laminated Conductive Sheets

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S. M. Benhamou
M. Hamouni
F. Ould-Kaddour


This paper proposes an approach to calculate the crossover frequency of each layer in the multilayered shield and subsequently that of structure constructed by n layers. This important frequency provides a useful approximation for field penetration in a conductor. It is used in a wide variety of calculations. It is in this context that a simplification of the transmission-line matrix formalism for laminated conductive sheets is done using this frequency. Two ranges of frequency are considered: lower and higher than the crossover frequency. Simples formulas and easy to use of the reflection loss, the internal reflection, the absorption loss and the electromagnetic shielding effectiveness of laminated shield are obtained. Analysis is carried out for the study of two shields: i) single shield of carbon nanotube polymer composites (CNTs), ii) multilayered shield constructed with Nickel–carbon nanotube polymer composites–Aluminum (Ni–CNTs–Al).


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Benhamou, S. M., Hamouni, M., & Ould-Kaddour, F. (2018). Crossover Frequency and Transmission-Line Matrix Formalism of Electromagnetic Shielding Properties of Laminated Conductive Sheets. Advanced Electromagnetics, 7(2), 28–35.
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S. M. Benhamou, M. Hamouni, A. J. Lozano Guerrero, Modeling of Electromagnetic Shielding Properties of Conductive sheet using the matrix formalism, 4th International Conference on Electrical Engineering (ICEE), pp., 1-4, 13-15 December, 2015.

R. P. Clayton, Introduction to Electromagnetic Compatibility, John Wiley & Sons, Inc., Hoboken, New Jersey. 2006.

S. M. Benhamou, M. Hamouni, "Theoretical Approach of Electromagnetic Shielding of Multilayer Conductive Sheets", PIER. M, Vol. 41, pp. 167-175, 2015.

K. Naishadham, "Shielding Effectiveness of Conductive Polymers", IEEE Trans. on EMC, Vol. 34, No. 1, pp. 47-50, February 1992.

View Article

S. Wei-Li, C. Mao-Sheng, F. Li-Zhen, L. Ming-Ming, L. Yong, W. Chan-Yuan, J. Hong-Fei, "Highly ordered porous carbon/wax composites for effective electromagnetic attenuation and shielding", CARBON, Vol. 77, pp. 130-142, 2014.

View Article

M. H. Al-Saleh, "Electromagnetic Interference Shielding Mechanisms of CNT/polymer composites", CARBON, Vol. 47, pp. 1738–1746, 2009.

View Article

S. Celozzi, R. Araneo, G. Lovatr, Electromagnetic Shielding, John Wiley & Sons, Inc., Hoboken, New Jersey.2008.

View Article

N.F. Colaneri, L.W. Shacklette "EMI shielding measurements of conductive polymer blends", IEEE Trans. Instrum. Meas., Vol. 41, pp. 291–297, 1992.

View Article

C.J. von Klemperer, D. Maharaj, "Composite electromagnetic interference shielding materials for aerospace applications". Compos. Struct. Vol. 91, No. 4, pp. 467–472, December 2009.

View Article

M. H. Al-Saleh, "Influence of conductive network structure on the EMI shielding and electrical percolation of carbon nanotube/polymer nanocomposites", Synthetic Met., Vol. 205, pp. 78-84, 2015.

View Article

D. Micheli, C. Apollo, R. Pastore, R.B. Morles, S. Laurenzi, M. Marchetti, "Nanostructured composite materials for electromagnetic interference shielding applications", Acta Astronaut., Vol. 69, pp. 747-757, 2011.

View Article

T. Souier, C. Maragliano, M. Stefancich, M. Chiesa, "How to achieve high electrical conductivity in aligned carbon nanotube polymer composites", CARBON, Vol. 64, pp. 150-157, 2013.

View Article