The k‐space formulation of the scattering problem in the time domain

1982 ◽  
Vol 72 (2) ◽  
pp. 570-584 ◽  
Author(s):  
Norbert N. Bojarski
Keyword(s):  
Time Domain ◽  
Scattering Problem ◽  
Space Formulation ◽  
The Time Domain

scholarly journals Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems

2021 ◽  
Author(s):  
Changkun Wei ◽  
Jiaqing Yang ◽  
Bo Zhang
Keyword(s):  
Time Domain ◽  
Electromagnetic Scattering ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Time Domain Electromagnetic ◽  
Numer Anal ◽  
The Time Domain

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).

A Time Domain Substructure Synthesis Method for Viscoelastic Structures

1995 ◽  
Vol 62 (2) ◽  
pp. 407-413 ◽  
Author(s):  
Duan Qian ◽  
J. S. Hansen
Keyword(s):  
Time Domain ◽  
Synthesis Method ◽  
Integral Form ◽  
Viscoelastic Damping ◽  
Substructure Synthesis ◽  
Viscoelastic Models ◽  
Hereditary Integral ◽  
Space Formulation ◽  
The Time Domain ◽  
Damped Systems

The method of substructure synthesis, originally conceived for undamped and viscously damped systems, has been extended to systems with viscoelastic damping in the hereditary integral form. Based on a new variational principle, the substructure synthesis method is formulated in the time domain. The displacement in each substructure is represented by a set of real admissible trial vectors. The traditional state space formulation is avoided by the proposed method so that the approach is independent of the form of viscoelastic models. Effectiveness of the method is illustrated through numerical examples.

scholarly journals Excised acoustic black holes: The scattering problem in the time domain

2005 ◽  
Vol 72 (8) ◽  
Author(s):  
C. Cherubini ◽  
F. Federici ◽  
S. Succi ◽  
M. P. Tosi
Keyword(s):  
Black Holes ◽  
Time Domain ◽  
Scattering Problem ◽  
The Time Domain ◽  
Acoustic Black Holes

Design and Analysis of A Complete Full Adder Based On Metal-Insulator-Metal (MIM) Waveguide-Based Plasmonic Waves

2020 ◽  
Author(s):  
oraman yoosefi ◽  
Angel Rodríguez
Keyword(s):  
Real Time ◽  
Time Domain ◽  
Scattering Problem ◽  
Logic Gates ◽  
Cavity Resonator ◽  
Full Adder ◽  
Metal Insulator ◽  
Metal Insulator Metal ◽  
Minimum Power Consumption ◽  
The Time Domain

Abstract In this paper, metal-insulator-metal (MIM) plasmonic waveguide structures and a rectangular cavity resonator at a central frequency of 1550 nm were used to propose a complete full adder. Under this circumstances, the system has a fast function with slight variations in real- time or near real-time manner, and this led to its minimum power consumption, while serving in various situations. In this full adder, we benefited from the property of combining resonant waves in the first and second modes, and we managed to obtain a high transmission coefficient in states where the output must be active. This complete full adder operates through designing 4-input AND, XOR, OR, and NOT logic gates, resulting in the design of a complete full adder with low manufacturing complexity and cost relative to ones designed through combining the conventional 2-input AND and OR gates. In comparison of three computational methods, finite‐difference time‐domain (FDTD) is a simple and versatile method. This method directly discretizes the time‐domain partial differential form of Maxwell's equations in various dimensions while using analytical solution in the remaining direction and solving the 3D scattering problem. Therefore, necessary simulations were conducted using FDTD software, and showed a good fit to the results predicted through approximations intended for theoretical relations.

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