Plane-wave diffraction by an obtuse-angled dielectric wedge

Abstract

Uniform high-frequency solutions in closed form are derived for the diffraction of a plane wave normally impacting on a penetrable wedge having an obtuse apex angle and arbitrary dielectric permittivity. The approach used here takes advantage of a physical optics approximation for the electric and magnetic equivalent surface currents in the scattering integrals related to the inner region of the wedge and the surrounding space. Numerical tests and comparisons with finite-difference time-domain results demonstrate the accuracy and effectiveness of the proposed solutions.

Field strength prediction in and around an acute-angled corner of man-made structures

“…UAPO DIFFRACTION CONTRIBUTION Two separate problems relevant to the dielectric region and the surrounding space are considered. The UAPO diffracted field is determined according to [12] and [13] in the UTD framework. The approach exploits a useful approximation and analytical manipulations completed by uniform asymptotic evaluations of the radiation integrals originally formulated in terms of electric and magnetic equivalent PO surface currents lying on the internal and external faces of the wedge.…”

“…The available methodologies provide approximate analytical or heuristic solutions, or attempt to solve the problem in an exact sense by combining analytical and numerical techniques to evaluate integral equations (see [3]- [11] as interesting bibliography). Uniform Asymptotic Physical Optics (UAPO) solutions were proposed by the authors in [12] and [13] for evaluating the field diffracted by right-and obtuse-angled lossless dielectric wedges. In addition, by exploiting the frequency domain UAPO solutions in the case of a rightangled lossless dielectric wedge [12], the corresponding time domain diffraction coefficients were derived in [14] via an inverse Laplace transform.…”

“…Because of multiple internal reflections and external transmissions, the problem is more complicated with respect to those involving right-and obtuse-angled wedges [12], [13]. Two separate diffraction problems relevant to the dielectric region and the surrounding space are tackled and solved by formulating the corresponding radiation integrals in terms of electric and magnetic equivalent PO surface currents lying on the internal and external faces of the wedge.…”

High-Frequency Evaluation of the Field Inside and Outside an Acute-Angled Dielectric Wedge

“…Uniform asymptotic physical optics (UAPO) solutions were proposed in explicit closed form by the authors in [1] and [2] for evaluating the field diffracted by right-and obtuse-angled lossless dielectric wedges. The time domain diffraction coefficients were derived in [3] and [4] for the geometries considered in [1] and [2]. Their knowledge allows one to evaluate (via a convolution integral) the transient diffracted field originated by an arbitrary function plane wave impinging on the wedge.…”

“…The aim of this work is to determine the UAPO solutions for the diffracted field originated by an acute-angled lossless dielectric wedge in both cases of -and -polarized incident plane waves. Because of multiple internal reflections and external transmissions, the problem is more challenging than those involving right-and obtuse-angled wedges [1], [2]. Two separate diffraction problems relevant to the dielectric region and the surrounding space are tackled and solved by formulating the corresponding radiation integrals in terms of electric and magnetic equivalent PO surface currents lying on the internal and external faces of the wedge.…”