In the present work, radio ray tracing equations are derived for linear refractive index profiles. The solution is obtained in closed form without approximations. Wave front reconstruction is proposed to infer wave parameters for a large number of points from few ray traces. A computer program to evaluate radar coverage diagrams was developed utilizing a closed form solution in a complex troposphere consisting of several linear refractive index profile layers in conjunction with complex topography. The computer program is expected to be highly superior in speed compared to similar programs due to the use of wave front reconstruction and closed form ray tracing.