Abstract
A probabilistic model of the resonance interaction of electromagnetic waves with magnetic 3D nanocomposities is developed. It is assumed that the field of the ferromagnetic resonance (FMR) of nanoparticles located in cavities of the dielectric matrix is a random variable distributed according to the normal law. The mathematical expectation of the random values of the real and imaginary parts of the diagonal and off-diagonal components of the tensor effective permeability of a 3D magnetic nanocomposite based on the opal matrix containing Ni0.7Zn0.3Fe2O4 nanoparticles is calculated. The experimental and calculation data of the probabilistic model are compared.
Similar content being viewed by others
References
B. Lax and K. J. Button, Microwave Ferrites and Ferrimagnetics (McGraw-Hill, New York, 1962; Mir, Moscow, 1965) [in Russian].
A. B. Rinkevich, D. V. Perov, M. I. Samoilovich, S. M. Kleshcheva, and E. A. Kuznetsov, J. Commun. Technol. Electron. 54, 947 (2009).
V. Castel, J. B. Youssef, and C. Brosseau, J. Nanomaterials. 2007, ID 27437 (2007).
R. H. Kodama, J. Magn. Magn. Mater. 200, 359 (1999).
X. Batlle and A. Labarta, J. Phys. D: Appl. Phys. 35(6), R15 (2002).
W. T. Coffey, D. S. F. Crothers, J. L. Dormann, et al., Phys. Rev. Lett. 80, 5655 (1998).
Z. Wu, J. Ding, H. B. Jiang, et al., J. Magn. Magn. Mater. 285, 233 (2005).
V. P. Shilov, Yu. L. Raikher, J.-C. Bacri, et al., Phys. Rev. 60, 11902 (1999).
A. H. Morrish and E. P. Valstyn, J. Phys. Soc. Jpn. 17(Suppl. 1), 392 (1961).
E. P. Valstyn, J. P. Hanton, and A. H. Morrish, Phys. Rev. 128, 2078 (1962).
V. K. Sharma and A. Baiker, J. Chem. Phys. 75, 5596 (1981).
Yu. L. Raikher and V. I. Stepanov, Phys. Rev. B 51, 16428 (1995).
A. G. Gurevich and G. A. Melkov, Magnetization Oscillations and Waves (Nauka, Moscow, 1994; CRC, Boca Raton, Fl., 1996).
O. A. Golovanov and G. S. Makeeva, J. Commun. Technol. Electron. 54, 1345 (2009).
O. A. Golovanov, G. S. Makeeva, and M. A. Chirkina, Izv. Vyssh. Uchebn. Zaved. Povolzh. Region. Fiz.-Mat. Nauki, No. 2, 126 (2010).
V. V. Nikol’skii and T. I. Nikol’skaya, Decomposition Approach to Electromagnetics Problems (Nauka, Moscow, 1983) [in Russian].
E. S. Venttsel’, The Probability Theory (Vysshaya Shkola, Moscow, 2001) [in Russian].
V. V. Ustinov, A. B. Rinkevich, D. V. Perov, et al., J. Magn. Magn. Mater. 324, 78 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © G.S. Makeeva, O.A. Golovanov, A.B. Rinkevich, 2014, published in Radiotekhnika i Elektronika, 2014, Vol. 59, No. 2, pp. 152–158.
Rights and permissions
About this article
Cite this article
Makeeva, G.S., Golovanov, O.A. & Rinkevich, A.B. A probabilistic model and electrodynamic analysis of the resonance interaction of electromagnetic waves with magnetic 3D nanocomposites. J. Commun. Technol. Electron. 59, 139–144 (2014). https://doi.org/10.1134/S1064226913120139
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226913120139