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Electrodynamic calculation of the tensor effective permeability of 3D magnetic nanocomposites in the microwave band

  • Electrodynamics and Wave Propagation
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Abstract

An electrodynamically rigorous mathematical model is developed for calculating the components of the tensor effective permeability of 3D nanocomposites with allowance for exchange and boundary conditions. A computational algorithm based on the method of autonomous blocks with Floquet channels is developed. With the help of this algorithm, the real and imaginary parts of the diagonal and off-diagonal components of the tensor effective permeability of a 3D opal-matrix nanocomposite are calculated. The simulation results are compared to experimental dependences.

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References

  1. V. I. Timonen, R. H. A. Ras, O. Ikkala, et al., Trends in Nanophysics: Theory, Experiment, Technology, Ed. by V. Barsan, A. Aldea (Engineering Materials Series, Springer-Verlag, Berlin, 2010), p. 257.

  2. A. B. Rinkevich, V. V. Ustinov, M. I. Samoilovich, et al., Tekhnol. Konstr. Elektron. Apparat., No. 4, 55 (2008).

    Google Scholar 

  3. R. Mittra, J. Commun. Technol. Electron. 52, 972 (2007).

    Article  Google Scholar 

  4. Nanostructured Metamaterials. Exchange between Experts in Electromagnetics and Material Science, Ed. by A. F. de Baas A.F. (Publications Office of the European Union, Luxembourg, 2010).

    Google Scholar 

  5. H. Chen, J. Zhang, Y. Bai, et al., Opt. Express 14, 12944 (2006).

    Article  Google Scholar 

  6. Z. Guo, S. Park, and H. T. Hahn, J. Appl. Phys. 101, M511 (2007).

    Google Scholar 

  7. X. Chen, T. M. Grzegorczyk, B. Wu, et al., Phys. Rev. E 70, 016608 (2004).

    Article  Google Scholar 

  8. O. A. Golovanov and G. S. Makeeva, J. Commun. Technol. Electron. 54, 1345 (2009).

    Article  Google Scholar 

  9. A. G. Gurevich and G. A. Melkov, Magnetization Oscillations and Waves (Nauka, Moscow, 1994; CRC, Boca Raton, Fl., 1996).

    Google Scholar 

  10. V. V. Nikol’skii and T. I. Nikol’skaya, Electromagnetics and Radiopropagation (Nauka, Moscow, 1989; Springer-Verlag, New York, 1984).

    Google Scholar 

  11. V. V. Nikol’skii and T. I. Nikol’skaya, Decomposition Approach to Electromagnetics Problems (Nauka, Moscow, 1983.

    Google Scholar 

  12. O. A. Golovanov, Radiotekh. Elektron. (Moscow) 35, 1853 (1990).

    Google Scholar 

  13. O. A. Golovanov, J. Commun. Technol. Electron. 51, 1338 (2006).

    Article  Google Scholar 

  14. V. V. Nikol’skii, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 20, 5 (1977).

    Google Scholar 

  15. G. S. Makeeva and O. A. Golovanov, J. Commun. Technol. Electron. 54, 1379 (2009).

    Article  Google Scholar 

  16. V. V. Ustinov, A. B. Rinkevich, D. V. Perov, et al., J. Magn. Magn. Mater. 324(1), 78 (2012).

    Article  Google Scholar 

  17. V. Castel, J. B. Youssef, and C. Brosseau, J. Nanomaterials 2007, ID 27437 (2007).

    Article  Google Scholar 

  18. Yu. I. Gorobets, Yu. I. Dzhezherya, and A. F. Kravets, Phys. Solid State 42, 126 (2000).

    Article  Google Scholar 

  19. J. Van Lierop and D. H. Ryan, Phys. Rev. 63, 064406 (2001).

    Article  Google Scholar 

  20. P. Jönsson, T. Jonsson, J. L. Garcia-Palacios, and P. Svedlindh, J. Magn. Magn. Mater. 222, 219 (1999).

    Article  Google Scholar 

  21. V. P. Shilov, Yu. L. Raikher, J. -C. Bacri, et al., Phys. Rev. B 60, 11902 (1999).

    Article  Google Scholar 

  22. M. Pardavi-Horvath, G. S. Makeeva, and O. A. Golo- vanov, IEEE Trans. Magn. 44, 3067 (2008).

    Article  Google Scholar 

  23. Zheng Hong, Yang Yong, Wen Fu-Shenget et al., Chinese Phys. Lett. 26, 017501 (2009).

    Article  Google Scholar 

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Correspondence to A. B. Rinkevich.

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Original Russian Text © G.S. Makeeva, O.A. Golovanov, A.B. Rinkevich, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 1, pp. 16–26.

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Makeeva, G.S., Golovanov, O.A. & Rinkevich, A.B. Electrodynamic calculation of the tensor effective permeability of 3D magnetic nanocomposites in the microwave band. J. Commun. Technol. Electron. 59, 12–21 (2014). https://doi.org/10.1134/S1064226913120127

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  • DOI: https://doi.org/10.1134/S1064226913120127

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