Influence of Motion on the Edge-Diffraction

Abstract

Abstract-The aim of the present paper is to reveal the effect of motion on the scattering by an edge. To this end one considers a canonical structure formed by a perfectly conducting half-plane illuminated by a time-harmonic and uniformly moving infinitely long line source. The relevant line source is located parallel to the edge and moves with a constant velocity which is also parallel to the half-plane. This is the dual of a previously studied problem in which the halfplane was moving uniformly. The present problem is first reduced into a Wiener-Hopf problem in the sense of distribution and then solved by an ad-hoc method. The edge-diffracted field is discussed in detail.

Model for the Evaluation of an Angular Slot’s Coupling Impedance

“…In all the simulations, the shape of the angular slot is a = 1 cm, ϕ a = 60 • . A Simpson rule with an adaptive spacing is adopted to compute the matrix coefficients (16), while a Gaussian quadrature algorithm is used for the coefficients (17). Since the kernel of the terms in Equation (16) exhibits a logarithmic singularity and gives rise to computational problems, proper numerical manipulations have to be introduced to navigate the problem.…”

“…In a particle accelerator, all the components are closed in a metallic pipe, which is necessary to maintain a vacuum. With respect to the proposed formulation, it is possible to add the presence of the pipe by partially changing the kernel of Equations (16) and (17). However, such a change just introduces some poles in the kernel, connected to the pipe resonances, independent of the asymmetry of the angular slot.…”

“…This configuration is representative of particle accelerator components that break the axial symmetry. The proposed method is quite general and can be adopted for a wide class of scattering and diffraction problems [15][16][17][18][19][20]. It can be easily generalized and adopted to analyze similar geometries.…”

Two-dimensional relativistic longitudinal Green’s function in the presence of a moving planar dielectric–magnetic discontinuity

“…The spectral representation of the incident EM field that is denoted by E i r; t can be obtained by formulating the current source Green's function in K 0 -frame where the constitutive relations have simple expressions, while the source density function involves distributions that are moving along the z axis with velocity v (see, for example, [14]). In the current contribution we use the results that were obtained in [12] in which the incident EM field was derived directly in K-frame by using the normalized longitudinal coordinate and wavenumber…”

Electromagnetostatic Charges and Fields in a Rotating Conducting Sphere

“…Our solution, which is based on the method developed in [9] and an ansatz leading to a problem with the Dirichlet boundary condition, appears to be new. Hopefully, it could contribute to the continuous interest in application-oriented relativistic electrodynamics (cf, e.g., [13][14][15][16][17][18][19][20][21]).…”