In this manuscript, incidence of a SV wave at spring contact of semi-infinite spaces is examined. The effect of an imperfect interface and initial stress on waves for the incidence of plane waves in fiber-reinforced media is observed in this manuscript. The L-S (Lord-Shulman) theory is used to examine the effects. The incidence of the plane wave is investigated at the interface of fiber-reinforced and prestressed semi-infinite spaces. 2-D and 3-D graphs are plotted to show the impact of initial stress, imperfect parameters and reinforcement. Under initial stress, all refracted waves exhibit mixed behavior. This study is helpful for civil engineers and geologists.