SCATTERING BY AN IMPEDANCE HALF-PLANE: COMPARISON OF THE SOLUTIONS OF RAMAN/KRISHNAN AND MALIUZHINETS/SENIOR

Abstract

There are three approaches for the solution of the difiraction problem of plane waves by an impedance half-plane in the literature. The difiracted fleld expressions, obtained by the related methods, are compared numerically. The examination of the scattered fleld shows that the most reliable solution is the fleld representation of Raman and Krishnan. Since the difiracted flelds of Senior and Maliuzhinets do not compensate the discontinuities of the geometrical optics waves at the transition regions. The difiraction problem of waves by a conducting half-plane is a canonical problem of the difiraction theory. The flrst rigorous solution of this problem was put forward by Sommerfeld (1). He deflned a spectrum integral of plane waves and chose the amplitude function according to an extended space that has a period of 4…. The evaluation of the complex integral yielded to the uniform expressions of the scattered flelds in terms of the Fresnel functions. The method of Sommerfeld was applied to more general case of the conducting wedge by Carslaw (2). The impedance surfaces are more realistic in the modeling of the scatterers since an object does not generally re∞ect all of the incoming energy. The flrst solution of the difiraction problem of waves by a non-perfectly re∞ecting half-screen was obtained by Raman and Krishnan (3). They applied the uniform solution of Sommerfeld to the problem by using the re∞ection coe-cient from a whole impedance