scholarly journals General polynomial chaos‐based expansion finite‐difference time‐domain method for analysing electromagnetic wave propagation in random dispersive media

2021 ◽  
Vol 15 (2) ◽  
pp. 221-228
Author(s):  
Jiangfan Liu ◽  
Huiping Li ◽  
Xiaoli Xi
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Electromagnetic Wave Propagation ◽  
Polynomial Chaos ◽  
Time Domain Method ◽  
Dispersive Media ◽  
Difference Time

Propagation of 2D Electromagnetic Wave in Lossy Lorentz Media Based on Auxiliary Differential Equation of Finite-Difference Time-Domain Method

2014 ◽  
Vol 568-570 ◽  
pp. 1749-1752
Author(s):  
Bing Kang Chen ◽  
Feng Guo
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Time Domain Method ◽  
Domain Method ◽  
Difference Time

In order to study the reflection of electromagnetic wave in Lorentz media, A finite-difference time-domain method based on the auxiliary differential equation (ADE) technique is used to obtain the formulation of 2-D TM wave propagation in lossy Lorentz media. In 1-D case, the reflected coefficients calculated by ADE-FDTD method and exact theoretical result are excellent agreement. This expresses that the 2-D formulas of electromagnetic wave propagation in lossy Lorentz media are right. Furthermore, Plane wave reflected by Lorentz media layer is calculated and simulated. Results display that reflected effect is evident.

Systematic wave-equation finite difference time domain formulations for modeling electromagnetic wave-propagation in general linear and nonlinear dispersive materials

2015 ◽  
Vol 26 (04) ◽  
pp. 1550046 ◽  
Author(s):  
Omar Ramadan
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Electromagnetic Wave ◽  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Electromagnetic Wave Propagation ◽  
Complex Conjugate ◽  
Linear And Nonlinear ◽  
Difference Time

In this paper, systematic wave-equation finite difference time domain (WE-FDTD) formulations are presented for modeling electromagnetic wave-propagation in linear and nonlinear dispersive materials. In the proposed formulations, the complex conjugate pole residue (CCPR) pairs model is adopted in deriving a unified dispersive WE-FDTD algorithm that allows modeling different dispersive materials, such as Debye, Drude and Lorentz, in the same manner with the minimal additional auxiliary variables. Moreover, the proposed formulations are incorporated with the wave-equation perfectly matched layer (WE-PML) to construct a material independent mesh truncating technique that can be used for modeling general frequency-dependent open region problems. Several numerical examples involving linear and nonlinear dispersive materials are included to show the validity of the proposed formulations.

Application of ADE-FDTD Method in Lossy Lorentz Media

2014 ◽  
Vol 945-949 ◽  
pp. 2486-2489
Author(s):  
Qing Chao Nie ◽  
Bing Kang Chen
Keyword(s):  
Differential Equation ◽  
Wave Propagation ◽  
Finite Difference ◽  
Theoretical Result ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Fdtd Method ◽  
Time Domain Method ◽  
Domain Method ◽  
Difference Time

A finite-difference time-domain method based on the auxiliary differential equation (ADE) technique is used to obtain the formulation of 2-D TM wave propagation in lossy Lorentz media. In the paper, the reflected coefficients calculated by ADE-FDTD method and the exact theoretical result are better agreement.

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