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This paper presents the problem of high-frequency scattering in a ray-tracing context. It focuses on the wedge problem as the most relevant contribution to the diffracted field from complex objects. The wedge problem's solution is then treated either analytically or numerically. It is treated analytically by resorting to the Malyuzhinets spectral technique and a subsequent approximate solution. It is treated numerically by deriving a parabolic equation from the original elliptic problem, which can then be easily and efficiently solved numerically via finite differences. [ABSTRACT FROM PUBLISHER]

High-frequency expressions for the field scattered by a half-plane with a perfectly conducting and an anisotropic impedance face are provided in the format of the uniform geometrical theory of diffraction (UTD), when the half-plane is illuminated by an arbitrarily polarized plane wave obliquely incident on its edge. The loaded face is characterized by a tensor surface impedance with principal anisotropy axes arbitrarily oriented with respect to the edge; a vanishing surface impedance is exhibited in one of the principal directions. This kind of tensor surface impedance can be suitably applied for analyzing the effects on the scattered field of corrugated surfaces or grounded dielectric slabs periodically loaded by metallic strips. This solution extends previous high-frequency formulations valid in those cases in which the direction of corrugations or strips is either parallel or perpendicular to the edge. The analysis is performed by resorting to the Sommerfeld-Maliuzhinets method. To determine the spectral solution, a special function is needed that differs from the standard Maliuzhinets one and was originally introduced to study the electromagnetic scattering by a wedge embedded in a gyroelectric medium. [ABSTRACT FROM AUTHOR]

Presents a study that applied the parabolic equation (PE) method to the problem of the high-frequency scattering from a diaphanous wedge. Significance of isorefractive wedge; Discussion on the application of the PE method; Information on the computation of the geometrical optics field.

Deals with a study which analyzed electromagnetic scattering by a perfectly conducting dihedral corner with deformed faces. Model developed to study the case in which one face is deformed according to a parabolic law; Verification of the effectiveness of the model.

The standard hybrid finite-element boundary-integral (FE–BI) technique has been extended to deal with the problem of electromagnetic scattering from buried objects. The presence of the ground–air interface is taken into account by using the half-space Green's function, thus reducing the number of unknowns necessary to numerically solve the problem. The problem has been conveniently formulated by using the field transmitted into the half space containing the object as an incident field. ©2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 24: 422–426, 2000. [ABSTRACT FROM AUTHOR]

A finite-difference (FD) solution to the problem of high-frequency scattering from an impedance wedge illuminated by an inhomogeneous plane wave is presented. The solution is obtained through the application of the parabolic equation method. © 1997 John Wiley & Sons, Inc. Microwave Opt Technol Lett 14, 207–210, 1997. [ABSTRACT FROM AUTHOR]

Provides suitable diffraction coefficients in the format of the uniform geometrical theory of diffraction (UTD) for describing plane wave scattering. Formulation of the problem; Derivation of the spectral functions; Information on UTD solution; Numerical results; Conclusions.

Examines the problem of two-dimensional scattering from a transparent wedge with thin resistive faces with the parabolic equation method in conjunction with the finite difference method. Determination of the complex constant for nontransparent wedges.