scholarly journals Anisotropic Metamaterials Filled Rectangular Metallic Waveguides Propagation Study and Analysis

Author(s):  
Nizar Tahri

In this paper, we propose a novel generalized S-matrix characterization approach. The goal is to keep track of all observed discontinuities as efficiently as possible. In terms of reflection value, the proposed control strategy is based on transmission coefficients and one-axis rectangular guides. We successfully manipulate metal rectangular waveguide filters with both geometrical and physical discontinuity. Lossless discontinuity is depicted as a periodic structure that contains Metamaterials. The modal development of transverse fields provides the basis for the generalized S-matrix approach. The approach works by breaking down electromagnetic fields for each of the guides that make up the discontinuity on an orthonormal basis. When the Galerkin method is used, the matrix of diffraction of the junction is obtained directly.

2021 ◽  
Vol 36 (36) ◽  
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu ◽  
Gongming Yu

In this paper, the S-matrix parametrization is adopted to analyze the refractive scattering of [Formula: see text] at intermediate energies systematically and that of [Formula: see text] at 230 MeV. For [Formula: see text], the experimental data containing the Fraunhofer oscillations and the rainbow falloff are reproduced very well by adjusting parameters. The S-matrix parameters and the rainbow angles show evident tendencies as the bombarding energy increases, which are comparable with those of [Formula: see text] elastic scattering on carbon target. For [Formula: see text], the experimental data in the forward direction are reproduced successfully by slightly adjusting the parameters used in the calculation of [Formula: see text] at 210 MeV. The calculated results show that the [Formula: see text] scattering exhibits a comparable transparency with that of [Formula: see text] at intermediate energies.


Author(s):  
Nguyen Thi Kieu ◽  
Pham Chi Vinh ◽  
Do Xuan Tung

In this paper, we carry out the homogenization of a very rough three-dimensional interface separating  two dissimilar generally anisotropic poroelastic solids modeled by the Biot theory. The very rough interface is assumed to be a cylindrical surface that rapidly oscillates between two parallel planes, and the motion is time-harmonic. Using the homogenization method with the matrix formulation of the poroelasicity theory, the explicit  homogenized equations have been derived. Since the obtained  homogenized equations are totally explicit, they are very convenient for solving various practical problems. As an example proving this, the reflection and transmission of SH waves at a very rough interface of tooth-comb type is considered. The closed-form analytical expressions of the reflection and transmission coefficients have been  derived. Based on them, the effect of the incident angle and some material parameters  on the reflection and transmission coefficients are examined numerically.


2020 ◽  
Vol 4 ◽  
pp. 59
Author(s):  
Th. Petridou

An approximation is made for the Σ- atomic energy shifts and widths due to strong interaction central and spin-orbit parts of the potential with the use of the S-Matrix Approach, introduced by DelofF. This simplified model is applied in 12C_Σ in connection with the Σ-hypernuclear data: 12C_Σ. It is concluded that there is an essential influence of the strong interaction and especially of the nuclear spin-orbit coupling in the spectra of Σ-12C, mainly for the p-shell.


2020 ◽  
Vol 498 (3) ◽  
pp. 3368-3373
Author(s):  
E V Polyachenko ◽  
I G Shukhman

ABSTRACT Using the canonical Hamilton–Jacobi approach we study the Lynden-Bell concept of bar formation based on the idea of orbital trapping parallel to the long or short axes of the oval potential distortion. The concept considered a single parameter – a sign of the derivative of the precession rate over angular momentum, determining the orientation of the trapped orbits. We derived a perturbation Hamiltonian that includes two more parameters characterizing the background disc and the perturbation, which are just as important as the earlier known one. This allows us to link the concept with the matrix approach in linear perturbation theory, the theory of weak bars, and explain some features of the non-linear secular evolution observed in N-body simulations.


1973 ◽  
Vol 95 (3) ◽  
pp. 744-750 ◽  
Author(s):  
S. Hamid ◽  
A. H. Soni

Using the matrix approach, synthesis equations are derived for eight types of synthesis problems for an eight-link mechanism having five links in each of its three loops. A numerical approach due to Marquardt is applied to illustrate the synthesis technique for the varieties of motion programs.


2010 ◽  
Vol 824 (3) ◽  
pp. 415-435 ◽  
Author(s):  
Pye-Ton How ◽  
André LeClair

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