This paper reviews the modern state of the Wiener–Hopf factorization method and its
generalizations. The main constructive results for matrix Wiener–Hopf problems are …

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 …

This article examines the dispersion characteristics and energy distribution in different
regions of the bifurcated waveguide with vertical step discontinuities. In this research study …

The present communication addresses the reflection and transmission analysis of a two-
dimensional waveguide structure with planar and non-planar surfaces. In the fields of …

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 …

Effective medium theory aims to describe a complex inhomogeneous material in terms of a
few important macroscopic parameters. To characterize wave propagation through an …

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 …

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 …

Many problems in linear elastodynamics, or dynamic fracture mechanics, can be reduced to
Wiener–Hopf functional equations defined in a strip in a complex transform plane. Apart from …