A new solution expressed in terms of UTD coefficients for multiple diffractions by buildings considering spherical-wave incidence

A new solution expressed in terms of uniform theory of diffraction (UTD) coefficients for the prediction of the multiple diffraction produced by an array of perfectly conducting buildings considering spherical-wave incidence is presented. Buildings are supposed to have rectangular cross sections and the mentioned solution, validated with numerical results from technical literature, is obtained by a recursion relation so that a successive use of UTD, diffraction in the transition zone is avoided, achieving an easier final formulation which significantly reduces the computing time over existing solutions. The result could find application in the planning of microcellular mobile radio systems to predict a more realistic path loss.