A modified piecewise linear current density recursive convolution (PLCDRC) finite-difference time-domain (FDTD) for anisotropic magnetised plasma is proposed. The method is derived using two recursive conclusion. The ...
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A modified piecewise linear current density recursive convolution (PLCDRC) finite-difference time-domain (FDTD) for anisotropic magnetised plasma is proposed. The method is derived using two recursive conclusion. The electric field is time-shifted in the first convolution and the currentdensity is time-shifted in the second convolution. The computation of the currentdensity and the electric field employ the piecewiselinear approximation technique. Like PLCDRC FDTD, the method has more accuracy over CDRC FDTD. Moreover, it is faster in computation velocity than PLCDRC FDTD. The high efficiency and accuracy of the method are confirmed by computing the reflection and transmission through a magnetised plasma layer, with the direction of propagation parallel to the direction of the biasing field. The bistatic radar cross-section of conducting sphere covered with magnetised plasma is also calculated. Then, the numerical dispersion relation of the new PLCDRC FDTD scheme is derived. The numerical dispersion error and dissipation error caused by the new PLCDRC-FDTD method are investigated by comparing the real and imaginary parts of the numerical wave number with those of the analytical wave number. Finally, the stability of the new PLCDRC-FDTD method is discussed. This method can also be used in other frequency dispersion electromagnetic problem if it is modified slightly.
Recently, a new finite-difference time-domain method for dispersive media called the piecewise linear current density recursive convolution finite-difference time-domain (PLCDRCFDTD) method has been published. The num...
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Recently, a new finite-difference time-domain method for dispersive media called the piecewise linear current density recursive convolution finite-difference time-domain (PLCDRCFDTD) method has been published. The numerical dispersion relation of the 2-D PLCDRCFDTD method for plasma is derived. With the numerical dispersion relation, the numerical dispersion error and dissipation error caused by the PLCDRC-FDTD method are investigated by comparing the real part and imaginary part of a numerical index of refraction with those of an analytic index of refraction. The relationships between the numerical dispersion, dissipation errors and different parameters (i.e. EM wave frequency, plasma frequency, collision frequency) are studied.
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