1 . Precise determination of magnetization of ferromagnetic in the external unmiform magnetic field, as the problem of micromagnetizm. is a complicated problem. The problem of magnetization of a dimenssionally limited ferromagnetic in the external uniform field has been solved in the wellknown works 11 ,21. These two problems are connected. We have considered a problem of magnetization of ferromagnetic in the magnetic field of a superconducting vortex. 2 . Ferromagneticdielectric (FM) is a plate with a thickness -L, and type-11 superconductor (SC) is a plate with thickness d ( d < < h , h -London penetration depth). FM and SC have tight contact. The axis of easy magnetization of FM is parallel to the axis oz. The extemal magnetic field H o i s parallel to axis oz too (Fig.1 ) . la PM I sc I -d
Flg. 1We proposed that the FM is monodomainized, and there are -Tortices in SC. The magnetic field of vortices induces a deflection magnetization of FM from the uniform state (the deflection is characterized by @angle between H and magnetization MI, and ununiform magnetization induces MePssner .currents in SC. The problem consists in determination the @, we have considered the problem for the isolated vortex (the vortex is situated in the origin of coordinates).3. The problem has solved as the magnetostatic one i31. and we have used London's equations for the vortex state in the thin plate of SC [41. We have solved the problem after its linearization for the case of small @ (the further estimates showed that such are approach is correct). The characteristic space scales for our problem: lm = (AK)'/2/41Chf2magnetic length.case of the semispace of FM (L -* 00 ) and for the case of the thin FM plate(L<< IeE/zm). Due to the symmetry of our problem @ = ( p , Z ) ; p and 2 -cylindrical coordinates. It is shown that the maximum of @ is reached at Z = 0 , p << effective penetration depth, We have obtained the analytic expressions for @ for the lzx/lm: And in the plane Z = 0 @ increases proportionally to p and for p >> Z : , / z m @ decreases as p-'. for p << lex/lm, the oscillatory behaviour with the acteristic distance scale lax along the axis oz for p<
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.