A generalized solution for diffraction over a uniform array of absorbing half-screens

An extension of the work by Xia and Bertoni on physical-optics diffraction over many equally spaced absorbing half-screens of uniform height permits t he calculation of the field as a function of height rather than just at the height of the half-screen edges, The extension is based on a generalizatio n of functions studied by Boersma, The solution is in the form of a series that can be evaluated in a limited but useful range of heights of the sourc e and field points above and below the plane containing the edges. Up to 15 diffracting screens can reasonably be included in the calculation. Both in cident plane waves and incident cylindrical waves are considered. An applic ation could be in transmission to antennas mounted on buildings in an area where buildings are of uniform height and spacing, Approximating formulas a re suggested for practical use.