  The linear and nonlinear optical properties in a three-dimensional
anisotropic quantum dot subjected to a uniform magnetic field directed with
respect to the $z-$axis have been investigated within the compact-density
matrix formalism and the iterative method. The dependence of the linear and
nonlinear optical properties on characteristic frequency of the parabolic
potential, on the magnetic field and on the incident optical intensity is
detailedly studied. Moreover, take into account the position-dependent
effective mass, the dependence of the linear and nonlinear optical properties
on the dot radius is investigated. The results show that the optical absorption
coefficients (ACs) and refractive index (RI) changes of the anisotropic quantum
dot (QD) have strongly affected by these factors, and the position effect also
plays an important role in the optical ACs and RI changes of the anisotropic
QD.
