A one‐dimensional electromagnetic scattering analysis in presence of a colliding system is presented. A detailed analysis of higher order Doppler effect, due to multiple electromagnetic field reflection upon the two moving objects is performed, invoking the center of momentum frame and taking all possible range of velocity into account. A quasi‐stationary based finite difference time domain numerical method is then performed in order to test the proposed mathematical model for forward scattering analysis. Further, a spectral‐temporal mathematical derivation is performed for the inverse scattering analysis to compute the spatial and temporal information of the target system.