Scattered fields of conducting half-plane between two dielectric media

Abstract

We investigate the scattering process of plane waves by a conducting half-plane between two dielectric media by introducing novel boundary conditions, in terms of soft and hard surfaces. The cases of soft and hard half-planes are studied independently. The scattered waves are examined numerically. The numerical results show that the behavior of the fields is in harmony with the theory. The transition between the two dielectric media is continuous, and the structure of the method enables one also to examine more complex geometries, such as wedges having soft and hard boundary conditions.

Scattering theory of waves by a perfectly conducting half‐screen between two different media

“…The evaluation of this integral directly leads to the second GO field at the righthand side of Eq. (18). In this case, B goes to zero at b s =2/ 2 .…”

“…First of all, we take into consideration the case where the half-plane does not exist at the junction of the two media. The initial GO waves [18,19] can be written as…”

“…Thus the stationary phase evaluation of the scattering integral directly yields the reflected GO wave, which is the first term at the right-hand side of Eq. (18).…”

“…He analyzed the three dimensional case by using the method, introduced by Przézdziecki , but did not provide any numerical results that would judge the correctness of the solution. In 2010, we provided an infinite series‐based approximate solution of the scattering problem of waves by a perfectly conducting half‐plane, residing between two dielectric media . We also investigated the same problem with an alternative approach, based on the geometrical theory of diffraction .…”

Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium

“…From that time, this solution has been generalized more than once to the cases of impedance boundary conditions on a half-plane [6], a perfectly transparent half-plane [7], a moving half-plane [8], on the case of half-plane embedded into bi-isotropic medium [9], and also on the case of different media disposed bilaterally along that [10]. The solution for a plane incident wave has stood duty as the bases for the solutions obtained for a vector spherical wave [11] and for electromagnetic beams [6,12].…”