An Adaptive Time Domain Approach to Characterize Dispersive Elastodynamic Media

Author(s):  
Reza Abedi

A time domain approach is presented to compute the transmission and reflection coefficients of a unit cell. The solution of a wave scattering problem to an ultra-short incident wave enables the derivation of these scattering parameters with only one time domain solution. The adaptive operations of a spacetime discontinuous Galerkin method and several or its unique properties, such as linear solution complexity and local / asynchronous solution features, enable accurate computation of scattering parameters. An inverse parameter retrieval method, from the equivalent material impedance and wave speed to dispersive elastic constitutive parameters, is uniquely solved by using the continuity of the wavenumber.

2019 ◽  
Vol 397 ◽  
pp. 187-199
Author(s):  
Saida Mellal ◽  
Toufik Ziar ◽  
Hichem Farh ◽  
Khalid Hati ◽  
Badreddine Zemmal ◽  
...  

We propose here a method witch analyze the behavior of Quasi-square open ring frequency selective surface (FSS) by using an approach based on the wave iterative concept procedure method (WCIP) coupled to Retrieval from Scattering Parameters method . The scattering parameters calculated by WCIP for a Quasi-square open ring FSS are used, in analytical formulas, to calculate directly observable effective constitutive parameters (relative electric permittivity εreff , magnetic permeability μreff and refractive index n ) of a frequency selective surface. Results of effective constitutive parameters for a Quasi-square open ring FSS structure are presented by Simulation using MATLAB program codes translating the implementation of the proposed approach.


Materials ◽  
2021 ◽  
Vol 14 (13) ◽  
pp. 3499
Author(s):  
Anatoly B. Rinkevich ◽  
Dmitry V. Perov ◽  
Yuriy I. Ryabkov

The microwave properties of a composite material containing flakes of finemet-type nanocrystalline alloy placed in the epoxy matrix have been investigated. Two compositions have been studied: with 15% and 30% flakes. Frequency dependences of transmission and reflection coefficients are measured in the frequency range from 12 to 38 GHz. The dielectric permittivity and magnetic permeability are obtained, and the microwave losses are calculated. The dependences of transmission and reflection coefficients have been drawn as functions of wave frequency and thickness of the composite material, taking into account the frequency dependences of permittivity and permeability. The regions of maximal and minimal microwave absorption have been defined. The influence of wave interference on the frequency dependence of microwave absorption is studied.


Optik ◽  
2020 ◽  
Vol 224 ◽  
pp. 165711
Author(s):  
Noureddine Maamar ◽  
Mohamed Lazoul ◽  
Feriel Yasmine Latreche ◽  
Djalal Trache ◽  
Jean-Louis Coutaz

2014 ◽  
Vol 988 ◽  
pp. 502-507 ◽  
Author(s):  
Shao Bo Chai ◽  
Jian Chun Li ◽  
Hai Bo Li ◽  
Ya Qun Liu

According to the displacement discontinuity method and the conservation of momentum at the wave fronts, analysis for cylindrical P-wave propagation across a linear elastic rock joint is carried out. Considering the energy variation for wave propagation in one medium, the wave propagation equation was derived and expressed in an iterative form. The transmission and reflection coefficients are then obtained from the equation. By verification, the results agree very well with those from the existing results.


Author(s):  
Changkun Wei ◽  
Jiaqing Yang ◽  
Bo Zhang

In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems involving anisotropic scatterers. The truncated uniaxial PML problem is proved to be well-posed and stable, based on the Laplace transform technique and the energy method. Moreover, the $L^2$-norm and $L^{\infty}$-norm error estimates in time are given between the solutions of the original scattering problem and the truncated PML problem, leading to the exponential convergence of the time-domain uniaxial PML method in terms of the thickness and absorbing parameters of the PML layer. The proof depends on the error analysis between the EtM operators for the original scattering problem and the truncated PML problem, which is different from our previous work (SIAM J. Numer. Anal. 58(3) (2020), 1918-1940).


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