We presented an analytical solution to the magnetostatic problem of finding the magnetic field strength of a film with a harmonic surface profile, as well as a relation for the scalar magnetic potential of this magnetic field. The energies and interaction forces of a pair of such films in the case of their location under each other and at displacement of the upper film relative to the lower one are calculated, and the vertical component of the force is analyzed as a function of the shear parameter.

The authors discuss the problem of calculating the force of magnetic ponderomotive interaction between two micromagnetic films with a corrugated semi-cylindrical surface presented as a lattice of half-magnets in the form of long cylindrical rods. It is established that the force of lattice interaction is determined largely by the distance between the semi-cylinders. Depending on this parameter, the force can be either attractive or repulsive.

A solution is found to the problem of calculating the electrostatic field induced by a filament charged with a given linear density and located over a dielectric with a specific functional dependence of the dielectric susceptibility on the field. The limits of applying this technology to calculating such fields is investigated. The contributions from induced volumetric and surface polarization charges to the collective electric field are considered.

A theory is developed for the force of interaction between a lattice of hard magnetic strips with arbitrary parameters and a massive ferromagnetic medium. The force of interaction between a magnetic lattice and a massive ferromagnetic medium is analyzed, depending on the thickness and width of a strip, and the general distance from the lattice to the ferromagnet. A general analytical formula is obtained for the considered force of interaction.

Разработана теория магнитного доменного упорядочения в магнитных пленочных материалах при наличии наклонной симметрично расположенной магнитной неоднородности в полосовом домене с учетом изменения магнитостатической энергии и изменения энергии анизотропии искривленной доменной границы.

A theory is constructed for the ordering of magnetic domains in magnetic film materials in the presence of point dipole magnetic inhomogeneities. The distribution of magnetization is modeled for a rectangular strip with an axis of easy magnetization perpendicular to its plane in the presence of point dipole magnetic inhomogeneities. 3D modeling of the magnetic structure of the plate reveals the curvature of the domain boundary caused by the field of local magnetic inhomogeneity and along the thickness of the plate.

The magnetization of a fractal structure is modeled mathematically by assuming a system is characterized by the lowest possible energy in the equilibrium state. Magnetization curves are calculated for fractal structures. The remagnetization of a regularly magnetized system is compared to the magnetization of a system with fractal structure.

The theory of magnetic domain ordering in magnetic film materials when there is an inclined and symmetrically located magnetic inhomogeneity in the strip domain is developed, allowing for variation in both the magnetostatic energy and the energy of anisotropy of the curved domain boundary.

Magnetic ordering in a mixed domain structure composed of a stripe domain and asymmetrically localized magnetic impurity inside the stripe domain was investigated. The analytical expression for domain walls deformation mediated by the influence of the magnetostatic stray field of the asymmetrically localized magnetic impurity was obtained. The calculations were done for the magnetic film with parameters which are typical for films used in magnetic memory. Experimental implementation of the mixed domain structure composed of the stripe domain and asymmetrically localized magnetic impurity inside the stripe domain was done in (BiLu) 3 (FeGa) 5 O 12 film. Obtained analytical solution for the shape of stripe domain walls distortion is in excellent agreement with the experimental results.

Influence of anisotropy on a bending of a magnetic stripe domain wall due to a magnetostatic stray field of a cylindrical magnetic domain (CMD) that is located within the stripe one is under investigation. It is revealed that for a specific set of physical parameters of the domain structure, energy of domain wall bending anisotropy can suppress the bending. An analytical expression for the bending shape is obtained on account of a change of both magnetostatic energy of the configuration and energy of anisotropy of the domain wall.

The theory of magnetic domain ordering in magnetic film materials with asymmetric magnetic heterogeneity is considered, with allowance for changes in the magnetostatic energy and that of the anisotropy of a curved domain boundary. The effect the parameters that determine changes in the energy of the magnetostatic interaction of the domain structure and the energy of the anisotropy of the curved domain boundary have on the shape and value of domain boundary bending is analyzed.

Using a system that reaches its minimum energy of interaction at equilibrium, the magnetization of a discrete two-dimensional system of interacting magnetic dipoles by an external magnetic field is modeled mathematically. Magnetization curves for rectangular two-dimensional clusters of dipoles and the region of the magnetic domain are calculated.