Modelling the radio wave propagation in the troposphere with Discrete Mixed Fourier method

Application of the discrete mixed Fourier transform method to solve the narrow angle parabolic equation with impedance boundary condition is presented, and this method is used to investigate the properties of radio propagation in atmospheric duct. In the process of discretization of auxiliary function, traditional central difference formula is replaced by backward difference formula, this make the numerical results more stable. The research lays the theoretical foundation for studying the radar detection performance, radar detection shadow zone and forecast of atmospheric duct.