The diffraction by impenetrable wedges having arbitrary aperture angle is studied by means of the Wiener-Hopf (W-H) technique. A system of functional equations called generalized Wiener-Hopf equations (GWHE) is obtained. Only for certain values of the aperture angle these equations are recognizable as standard or classical Wiener-Hopf equations (CWHE).… (More)
A metallic cylindrical resonator partially filled with double-negative (DNG) metamaterial with sector shape is analyzed in the frequency domain. The remaining part of the resonator is filled by a double-positive (DPS) medium. The structure results in a cylindrical resonator of finite length with a metamaterial wedge whose edge is on the cylinder axis. A… (More)
A circular cylindrical metallic resonator half filled with DPS material and half with DNG metamaterial is analyzed, in the frequency domain. The two materials are linear, lossless, homogeneous, and anti-isorefractive to each other. The electric field is assumed to be parallel to the cylinder axis. It is shown that the resonator performs independently of… (More)
In the problem of the two wedges, angular and planar regions are present. By resorting to the generalized Wiener Hopf technique, a circuital modelling is presented to represent these regions. This formulation yields integral equations in the spectral domain. Simple quadrature methods provide efficient numerical solutions. The validity of the proposed method… (More)
This paper deals with the problem of evaluating the electromagnetic field of a perfect electrical conducting (PEC) wedge over dielectric substrate. In this paper the directions of the two faces of the wedge are arbitrary. We formulate the problem in terms of generalized Wiener-Hopf equations (GWHE) and we propose a possible method of solution based on the… (More)
This paper reports the state of the art on the study of diffraction by a dielectric wedge and it proposes a new method to compute the diffracted field. In particular the paper presents the application of the Wiener-Hopf method to the problem of diffraction of a plane wave by a dielectric wedge immersed in free space. The formulation and the equations are… (More)
This paper presents the formulation of the electromagnetic problem constituted of coupled angular and planar regions by using the generalized Wiener-Hopf technique. The paper introduce also the technique to obtain a solution of the problem by reducing the factorization problem to Fredholm integral equation. The test case of a PEC planar waveguide filled by… (More)
This paper provides a semi analytical procedure to factorize the two dimensional kernel involved in the quarter plane diffraction problem. The proposed method is based on the reduction of the factorization problem to the solution of a Fredholm integral equation of second kind. The solution of the Fredholm integral equation appears cumbersome since it… (More)
A metallic structure consisting of an infinite array of parallel and equally spaced half-planes truncated by a plane perpendicular to their edge is considered. The primary field is a plane electromagnetic wave that propagates in an arbitrary direction with arbitrary polarization. The boundary-value problem is solved analytically, in the phasor domain.
This paper analyses the problem of coupling multiple angular regions in spectral domain by using the generalized Wiener-Hopf technique. The paper introduces also the technique to obtain a solution of the problem by reducing the factorization problem to Fredholm integral equation. We present a test case constituted by two PEC wedges.