A probabilistic model and electrodynamic analysis of the resonance interaction of electromagnetic waves with magnetic 3D nanocomposites

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.