  We calculate the exact solutions to the equations of motion that govern the
light ray trajectories as they travel in a Kerr black hole's exterior that is
considered to be filled with an inhomogeneous and anisotropic plasmic medium.
This is approached by characterizing the plasma through conceiving a radial and
an angular structure function, which are let to be constant. The description of
the motion is carried out by using the Hamilton-Jacobi method, that allows
defining two effective potentials, characterizing the evolution of the polar
coordinates. The elliptic integrals of motion are then solved analytically, and
the evolution of coordinates is expressed in terms of the Mino time. This way,
the three-dimensional demonstrations of the light ray trajectories are given
respectively.
