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

An extension of the work by Xia and Bertoni (1992) on physical-optics diffraction over many equally spaced absorbing half-screens of uniform height permits the 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 generalization of functions studied by Boersma (1978). The solution is in the form of a series that can be evaluated in a limited but useful range of heights of the source and field points above and below the plane containing the edges. Up to 15 diffracting screens can reasonably be included in the calculation. Both incident plane waves and incident cylindrical waves are considered. An application could be in transmission to antennas mounted on buildings in an area where buildings are of uniform height and spacing. Approximating formulas are suggested for practical use.