  We investigate a refracted Levy process driven by a jump diffusion process,
whose jumps have rational Laplace transforms. For such a stochastic process,
formulas for the Laplace transform of its occupation times are deduced. To
derive the main results, some modifications on our previous approach have been
made. In addition, we obtain a very interesting identity, which is conjectured
to hold for a general refracted Levy process.
