
The self-field effects $$\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {B'}$$ of bulk magnetization current are considered when the applied field $$\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {B} _a$$ is parallel to the rotation axis of a cylinder-shaped type-II superconductor with limited axial length L and radius R, and by using finite-element analysis in a self-consistent way, the field-dependent magnetization current density function $$J_m (|B|)[\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {B} (\rho ,z) = \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {B} _a + \overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {B'} (\rho ,z)]$$ , the current density, and the field distributions are derived from magnetic moment hysteresis loop m(B a) for the superconductor with full field penetration. When B a≫B p, the average field inside the cylinder $$\left\langle B \right\rangle = \mu _0 [H_a + f_c (L/2R)M]$$ in the Bean model approximation, and the function f c(L/2R) is quantitively given for arbitrary parameter L/2R, where B a=μ0 H a and M=m/(πR 2 L). In addition, the influences of the self-field on the measured m(B a) loop are discussed.
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