In this paper, we have studied the analysis of current distributions and radar cross sections of the line source scattering from an impedance strip. The problem was solved with the fractional derivative method previously. Here, the specific case of the fractional derivative method is investigated. The problem under consideration on the basis of various methods is studied well, however, they are mainly done by numerical methods. The fractional derivative method allows one to obtain an analytical solution in a specific situation. This method allows to obtain analytical solution of impedance strip for a special case which is fractional order.. is equal to 0.5. When fractional order is 0.5, there is an analytical solution which is explained in this paper and current distribution, radar cross section and near field patterns are derived. Here, as a first time, the current distribution, the bi-static radar cross section and the near field for the upper and the lower part of the strip are studied.