Calculation of higher order diffracted fields for multiple-edge transition zone diffraction

A well-known problem in conventional uniform theory of diffraction (UTD) is multiple-edge transition zone diffraction. Here, higher order diffracted fields have to be used in order to improve the result, and these fields are added by means of a series. Unfortunately, this series will converge slowly for many edges, which means that a good enough result might require a large number of terms. However, by summing up the series properly, the computation time can be kept reasonable, which will be shown for knife edges. The summation technique is though valid for wedges as well.