modified reflection coefficient for use in mobile path loss calculations

in this paper the reflection coefficient of electromagnetic wave incidence on the walls of the buildings and obstacles that occurs in mobile communication path was modified by solving the riccati nonlinear equations. for this purpose, the building walls are assumed inhomogeneous layers where their permittivity changes as function of the wall thickness. using this reflection coefficient, a new propagation model based on urn and gid (uniform geometrical theory of diffraction and geometrical theory of diffraction) for multiple diffraction paths is proposed. using this model, the diffraction loss as well as the path loss for a row of buildings with two in homogeneous faces is calculated and compared with measured data. comparison of theoretical and measured results reveals that the modified reflection coefficient can adequately predict the reflective properties of the building walls. moreover, results obtained with the proposed uid model are in good agreement with the measurement data. therefore, the modified reflection coefficients well as the new uid model can be used for estimation of multipath signals strength, diffraction loss and also path delay in ray tracing algorithms used in mobile communication, radar and radio links.