In 1931, Wiener and Hopf (1931) invented a powerful technique for solving an integral
equation of a special type. By introducing the Laplace transform of the unknown, the integral …

It is a little over 75 years since two of the most important mathematicians of the 20th century
collaborated on finding the exact solution of a particular equation with semi-infinite …

In this paper we consider the radiation properties of a pair of semi-infinite, parallel-plate
ducts in which the inner duct is buried inside the outer duct. A Robin condition is applied to …

Complex scattering targets are often made by structures constituted of wedges that may
interact at near field. In this paper, we examine the scattering of a plane electromagnetic …

This paper implements the unified transform to problems in unbounded domains with
solutions having corner singularities. Consequently, a wide variety of mixed boundary …

Analytical methods are fundamental in studying acoustics problems. One of the important
tools is the Wiener-Hopf method, which can be used to solve many canonical problems with …

In this paper we present an analytical solution to the problem of sound radiation from semi-
infinite coaxial cylinders, as a model for rearward noise emission by aeroengines. The …

The book has a dual purpose. The first is to expose a general methodology to solve
problems of electromagnetism in geometries constituted of angular regions. The second is to …

The factorization of Wiener–Hopf matrices with exponentially growing elements has long
remained an unsolved problem. Such matrices often occur in the calculation of scattering …

Scattering of time-harmonic plane wave by two parallel semi-infinite rows, but with
staggered edges, is considered on square lattice. The condition imposed on the semi-infinite …