Diffraction of waves by a planar junction of impedance and perfect electromagnetic conductor half-planes

Husnu Deniz Basdemir

doi:10.1007/s11082-021-03185-3

Abstract

In this study, diffraction of waves by a planar junction between impedance and perfect electromagnetic conductor half-planes is investigated. The method of transition boundary is used for the solution of the problem. The diffracted wave expressions are expressed in terms of the Fresnel functions by using the uniform theory of diffraction method. Thus, finite magnitudes are obtained at the transition regions and the results are analyzed numerically for different set of parameters.

Highlights

In the literature, the diffraction of waves by a single half-plane is widely considered since it is a canonical problem
The diffracted magnetic field will be derived. It is clearly seen from Eq (23) that the contribution to the scattered magnetic field only comes from the perfect electromagnetic conducting (PEMC) surface, since reflected magnetic field’s intensity from the impedance half-plane does not includes the zcomponent of the magnetic field
method of transition boundaries (MTB) method is used for investigating the plane-wave diffraction by a planar junction of two half-planes

Summary

Introduction

The diffraction of waves by a single half-plane is widely considered since it is a canonical problem. Diffraction of waves by a junction which is formed by combination of two half-planes which have different boundary conditions is an important problem. The scattering of waves by a planar junction of two half-planes with different combinations of surface boundary conditions can be found widely, but not limited to these studies, in the literature (Büyükaksoy et al 2004; Gennarelli and Riccio 2020; Pelosi et al 1998; Umul 2020; Umul 2017; Yalçın and Umul 2020). The analytical investigation of the problem under consideration is based on the recent method invented in a study (Umul 2019) His method, which is called method of transition boundaries (MTB) is based on the relations of scattered geometric optics fields and diffracted fields at the transition regions. The time factor of exp(jωt) is suppressed throughout the paper where ω represents the angular frequency

Junction descriptions

Numerical results

Conclusions