| Finite-Difference Time-Domain (FDTD) method is an important method to deal with the problem of electromagnetic wave propagation in plasma, and the numerical dispersion error and stability are unavoidable problems. In recent years, with the development of FDTD method, the JEC-FDTD method has been widely used in plasma research. However, only the numerical dispersion of one-dimensional JEC-FDTD method in non-magnetized plasma has been analyzed in the existing literature. On this basis, the numerical dispersion properties and stability of the JEC-FDTD method in plasma were intensively studied in this paper. The concrete research contents include:First, the basic theory of JEC-FDTD method is introduced, including the traditional FDTD algorithm and Courant stability condition, the iterative equation of JEC-FDTD method and the correlation theory of perfect matching layer. Secondly, on the basis of the numerical dispersion analysis of one-dimensional non-magnetized plasma JEC-FDTD method, the numerical dispersion properties of two-dimensional and three-dimensional algorithms are studied deeply. Taking the one-dimensional non-magnetized plasma JEC-FDTD method as an example, the stability of the plasma at different plasma collision frequencies and different plasma frequencies is analyzed. Finally, the numerical dispersion properties and stability of one-dimensional magnetized plasma JEC-FDTD method are studied, and the influences of magnetized plasma parameters on the numerical dispersion properties and stability are analyzed.By analyzing the numerical dispersion and stability of the JEC-FDTD method in non-magnetized plasma and magnetized plasma, we can get the range of the plasma parameters and the numerical dispersion error when the algorithm is stable. The results of this study have very important guiding significance for the application of JEC-FDTD method in plasma. In addition, the research idea of this paper can be extended to other FDTD methods of dispersive media. |
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