  Field extrapolation is an alternative method to study chromospheric and
coronal magnetic fields. In this paper, two semi-analytical solutions of force-
free fields (Low and Lou, 1990) have been used to study the errors of nonlin-
ear force-free (NLFF) fields based on force-free factor alpha. Three NLFF
fields are extrapolated by approximate vertical integration (AVI) Song et al.
(2006), boundary integral equation (BIE) Yan and Sakurai (2000) and
optimization (Opt.) Wiegelmann (2004) methods. Compared with the first
semi-analytical field, it is found that the mean values of absolute relative
standard deviations (RSD) of alpha along field lines are about 0.96-1.05,
0.94-1.07 and 0.46-0.72 for AVI, BIE and Opt. fields, respectively. While for
the second semi-analytical field, they are about 0.80-1.02, 0.63-1.34 and
0.33-0.55 for AVI, BIE and Opt. fields, respectively. As for the analytical
field, the calculation error of hjRSDji is about 0.1 {\guillemotright} 0.2. It
is also found that RSD does not apparently depend on the length of field line.
These provide the basic estimation on the deviation of extrapolated field
obtained by proposed methods from the real force-free field.
