A fourth-order finite-difference time-domain (FDTD) scheme is proposed for the solution of Maxwell's equations in cold plasma (Drude medium), based on the multistage method of Jameson, Schmidt and Turkel, which was originally introduced in the framework of fluid dynamics. First, the system of governing differential equations is formed as a general first-order, operator-based approach, and then a four-stage algorithm is established. The accuracy of the method is verified in benchmark problems compared with analytical solutions and with the conventional second-order FDTD algorithm. ? The Institution of Engineering and Technology 2020.

Fourth-order Jameson-Schmidt-Turkel FDTD scheme for non-magnetised cold plasma

Zografopoulos;
2020

Abstract

A fourth-order finite-difference time-domain (FDTD) scheme is proposed for the solution of Maxwell's equations in cold plasma (Drude medium), based on the multistage method of Jameson, Schmidt and Turkel, which was originally introduced in the framework of fluid dynamics. First, the system of governing differential equations is formed as a general first-order, operator-based approach, and then a four-stage algorithm is established. The accuracy of the method is verified in benchmark problems compared with analytical solutions and with the conventional second-order FDTD algorithm. ? The Institution of Engineering and Technology 2020.
2020
Finite difference time domain method
Maxwell equations
Bench-mark problems; Cold plasmas; FDTD algorithm; Fourth order; Governing differential equations; Multi-stage methods; Second orders; STAGE algorithm
Time domain analysis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/379248
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