Technical magnetization of Tb$_3$Fe$_5$O$_{12}$ garnet ferrite near the magnetic compensation point

The domain structure and technical magnetization of a single-crystalline Tb$_3$Fe$_5$O$_{12}$ garnet ferrite sheet near its magnetic compensation point ($T_c\approx$ 250 K) are studied. It is found that above this temperature the domain structure persists and considerably influences the field and temperature dependences of the Faraday effect. It is shown that the behavior of Tb$_3$Fe$_5$O$_{12}$ during technical magnetization near $T_c$ is not fully described by the existing thermodynamic theory of the domain structure. The features of the domain structure and technical magnetization of Tb$_3$Fe$_5$O$_{12}$ are related to the transition of the magnetic structure to a non-collinear phase.