A. Alkumru et B. Polat, MULTIPLE DIFFRACTION OF A LINE SOURCE FIELD BY A 3-PART THIN TRANSMISSIVE SLAB, Zeitschrift fur angewandte Mathematik und Mechanik, 78(3), 1998, pp. 183-195
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.