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This paper deals with the development of a semi‐analytical model for the fast computation of the quasi‐static field induced by any eddy current probe in a 3D conductor of complex shape. The workpiece is considered as a planar half‐space mock‐up with an interface air conductor characterized by an arbitrary 2D surface a(x, y). The curvilinear coordinate method consists in introducing a change of coordinates...
A two dimensional Finite Difference Frequency Domain (2D-FDFD) eigenanalysis of an array consisting of periodically located strips printed on axially magnetized ferrite film is presented. The main interest in these structures arises from our previous study which revealed their support of backward surface and possibly backward leaky waves. Moreover these structures exhibit non-reciprocal phenomena...
The current work is the theoretical framework of the Research Project “Thales” entitled: “Development of electromagnetic simulation and design tools for digitally controlled and multifunctioning RF-microwave stages and subunits which retain characteristics-specification supporting Software Defined (SDR) and cognitive Radios (CR)”. Thus, a review of the analytical and numerical eigenenalysis tools...
The eigenanalysis of periodic stuctures is presented herein by extending our previous two - dimensional curvilinear frequency domain finite difference domain (FDFD) toward the eigenanalysis of open/radiating periodic structures. Initially, the open/radiating structures are simulated using the Perfectly Matched Layer (PML), while later Mur's Absorbing Boundary Conditions (ABC) will be introduced within...
Computing of wave propagation and radiation through periodic band gap structures and their unique electromagnetic features attracted a huge research interest during the last decades. These features enabled the development of novel metamaterials and were exploited in frequency selective surfaces, phased arrays and numerous electromagnetic bandgap applications. Moreover, the metamaterials including...
This paper deals with the fast computation of the quasi‐static fields induced in a conductor with a locally perturbed shape along the longitudinal axis and extruded along the transversal one. Besides, the material is composed of several homogeneous layers with parallel faces. The method used here is based on writing Maxwell's equations in a curvilinear system, which leads to a more simple expression...
The radiation of moving charged particles makes a fundamental problem in modern physics and has long been the subject of a thorough study [1–26]. As early as 1889, O. Heaviside considered the electromagnetic field of a point charge uniformly moving in a dispersion-less medium and was seemingly the first (as follows from the literature) to ask himself: What happens when the charged particle velocity,...
Summary form only given. Spectral methods and mode matching techniques are well established methods to solve waveguide and scattering problems. Many rigorous methods exist but large efforts remain to be made in obtaining 3D electromagnetic codes that are sufficiently robust and fast. The coupled-wave method also called the Fourier modal method (FMM) is an example of the most efficient and commonly...
The study of the electromagnetic filed produced by charged particles moving with constant velocity in the vicinity of various objects is one of principal problems of modern electromagnetic theory. Among various structures for which the solution of corresponding boundary value problems can be obtained by means of reliable mathematical methods, the periodic ones are of the biggest practical and physical...
The multilayer Fourier Modal Method (or Rigorous Coupled Wave Analysis) is one of the simplest and most popular method for analyzing arbitrary-shaped surface-relief gratings. This technique consists in replacing the grating by a staircase approximation. Hence the actual structure becomes a stack of lamellar gratings in which Maxwell's equations may be written as an eigenvalue problem. Recently, the...
In this paper show how to implement effectively the method of moments in the general framework of modal methods. It also used to generalized stretched coordinates in order to enhance spatial resolution on one hand and to introduce a radiation condition on the other hand. The modal methods and mode matching techniques are well established methods to solve waveguide and scattering problems. Such methods...
Notions and notations introduced in quantum physics can be of a big interest in electromagnetism to solve propagation and diffraction problems like propagation in periodic media.
Simple analytical formulas are introduced for the grid impedance of electrically dense arrays of square patches and for the surface impedance of high-impedance surfaces based on the dense arrays of metal strips or square patches over ground planes. Emphasis is on the oblique-incidence excitation. The approach is based on the known analytical models for strip grids combined with the approximate Babinet...
This paper concerns a modal method for designing metal-plate lens structures. The method is based on coordinate transformation and the use of Maxwell's equations written under the covariant form. Furthermore the lens is considered as a medium with discontinuities described by Dirac Delta functions. We illustrate the method by showing the formation of the focus for various incident waves.
We propose a statistical model to describe the seedbed surfaces and we study the roughness and moisture influence upon the backscattering coefficient and the scattering patterns by means of Monte-Carlo predictions. For each realization, the scattering amplitudes are obtained by the C method.
The Fourier modal method has recently been improved with the idea of adaptive spatial resolution . By using a non-uniform sampling scheme that places more sampling points around the permittivity discontinuities, the total number of spatial harmonics required to achieve a given accuracy is significantly reduced. The idea of stretching thinner the space around the discontinuities is not entirely new...
In this paper, it was proposed using a magnetic diagnostic method, to determine the variation of the length and the dynamic of gliding arc. This method, which is not intrusive, uses the hypothesis that the plasma and the reactor elements are similar to threadlike current segments. The magnetic induction created by the plasma and the circuit elements is measured in different sites outside of the reactor...
The paper is focused at the study resonant phenomena arising in the process of electromagnetic waves interaction with metamaterials with periodic surface or with grating. Wide range of numerical experiments is performed on the base of accurate solution to boundary value problems. The peculiarities of diffraction characteristics and eigen waves and eigen frequencies in dispersive and anisotropic media...
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