Abstract
A numerical optimization method is performed using the MATLAB program to estimate the relative complex permittivity of each component of Samarium-substituted Yttrium Iron Garnet nanoparticles in Poly-vinylidene-fluride (Sm-YIG-PVDF) composite samples. The optimization is taken as the optimized parameters that yield a minimum sum for the absolute differences between the calculated impedance obtained by using the permittivity calculated from Maxwell–Garnett (MG) formula and the measured equivalent one over the entire frequency range named the objective function (M). The guessed (estimated) ranges of the complex permittivity are based on the measured values of each component of Sm-YIG-PVDF composite samples. The optimized (optimum) impedance values are in very good agreement with the measured one for each composite and within the estimated ranges. More details on the optimization procedure are illustrated, and the permittivity of different composition dependence on the mole fraction of the Sm-YIG-PVDF composite materials is shown.
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References
Salamone, J.C.: Polymeric Materials Encyclopedia, vol. 4, p. 2536. CRC Press, Boca Raton (1996)
Salamone, J.C.: Polymeric Materials Encyclopedia, vol. 9, pp. 7115–7126. CRC Press, Boca Raton (1996)
Chen, P., Wu, R.X., Zhao, T., Yang, F., Xiao, J.Q.: Complex permittivity and permeability of metallic magnetic granular composites at microwave frequencies. J. Phys. D. Appl. Phys 38, 2302–2305 (2005)
Gupta, N., Kashyap, S.C., Dube, D.C.: Microwave behavior of substituted lithium ferrite composites in X-band. J. Magn. Magn. Mater. 288, 307–314 (2005)
Kimura, S., Kato, T., Hyodo, T., Shimizu, Y., Egashira, M.: Electromagnetic wave absorption properties of carbonyl iron-ferrite/PMMA composites fabricated by hybridization method. J. Magn. Magn. Mater. 312(1), 181–186 (2007)
Yang, Q., Zhang, H., Liu, Y., Wen, Q., Jia, L.: The magnetic and dielectric properties of microwave sintered yttrium iron garnet (YIG). J. Mater. Lett. 62(17–18), 2647–2650 (2008)
Abbas, S.M., Dixit, A.K., Chatterjee, R., Goel, T.C.: Complex permittivity, complex permeability and microwave absorption properties of ferrite-polymer composites. J. Magn. Magn. Mater. 309(1), 20–24 (2007)
Dosoudil, R., Ušáková, M., Franek, J., Sláma, J., Olah, V.: RF electromagnetic wave absorbing properties of ferrite polymer composite materials. J. Magn. Magn. Mater. 304(2), e755–e757 (2006)
Abbas, Z., Pollard, R.D., Kelsall, R.W.: Complex permittivity measurements at Ka-band using rectangular dielectric waveguide. IEEE Trans. Instrum. Meas. 50(5), 1334–1342 (2001)
Chen, L., Varadan, V.V., Ong, C.K., Neo, C.P.: Microwave electronics: measurement and materials characterization. Wiley, New Jersey (2004)
Priou, A.: Dielectric properties of heterogeneous materials. Elsevier Science Publishing Co., Inc., New York (1992) ISBN: 0444-01646-5
Agilent: Agilent 4291B RF Impedance/Material Analyzer/Operation Manual, 3rd edn. Agilent Technologies, Tokyo (1999)
Palm, W.J.: Introduction to MATLAB 7 for Engineers, 2nd edn. McGraw Hill Professional, New York (2004)
Büyüköztürk, O., Yu, T.Y., Ortega, J.A.: A methodology for determining complex permittivity of construction materials based on transmission-only coherent, wide-bandwidth free-space measurements. J. Cement. Concr. Compos. 28(4), 349–359 (2006)
Okubo, H., Shumiya, H., Ito, M., Kato, K.: Optimization techniques on permittivity distribution in permittivity graded solid insulators. In: Conference Record of the 2006 IEEE International Symposium on Electrical Insulation. 11–14 June, pp. 519–522 (2006)
Koledintseva, M., Drewniak, J., Zhang, Y., Lenn, J., Thoms, M.: Modeling of ferrite-based materials for shielding enclosures. J. Magn. Magn. Mater. 321(7), 730–733 (2009)
Acknowledgments
Azzaytuna University-Libya, Nano and Advanced Technology Project under National Authority of Scientific Research (NASR), Tripoli, Libya and Universiti Putra Malaysia (UPM) are greatly acknowledged.
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Al-Habashi, R., Abbas, Z. (2013). An Optimization Procedure to Estimate the Permittivity of Ferrite-Polymer Composite. In: Öchsner, A., Altenbach, H. (eds) Experimental and Numerical Investigation of Advanced Materials and Structures. Advanced Structured Materials, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-319-00506-5_19
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DOI: https://doi.org/10.1007/978-3-319-00506-5_19
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