MULTIPLE DIFFRACTION OF A LINE SOURCE FIELD BY A 3-PART THIN TRANSMISSIVE SLAB

A uniform asymptotic high-frequency solution is presented for the prob lem of diffraction of a line source field by a three-part thin transmi ssive slab. After simulating the slab by a material plane with a set o f approximate boundary conditions used recently by RAWLINS et al., the three-part boundary-value problem is transformed into a modified matr ix Wiener-Hopf equation. By performing the factorization of the kernel matrix through the DANIELE-KHRAPKOV method, the modified matrix Wiene r-Hopf equation is first reduced to a pair of coupled Fredholm integra l equations of the second kind and then solved approximately by iterat ions. An interesting feature of the present solution is that the class ical Wiener-Hopf arguments yield unknown constants which may be determ ined by means of the edge conditions.