弱电离尘埃等离子体层反射与透射的SO-FDTD方法分析

将弱电离尘埃等离子体复介电常数表示以jω 为自变量的分式多项式形式, 利用移位算子时域有限差分(SO-FDTD)方法, 给出了弱电离尘埃等离子体频域本构关系的时域形式. 推导了弱电离尘埃等离子体电磁特性的时域递推关系式. 用SO-FDTD方法计算了弱电离尘埃等离子体层的反射和透射系数, 分析了尘埃粒子浓度和尘埃粒子半径的变化对反射系数和透射系数的影响. 结果表明: 有尘埃粒子时的反射系数比没有尘埃粒子时反射系数小, 而透射系数要比没有尘埃粒子时的透射系数大; 当尘埃粒子浓度或尘埃粒子半径增大时, 其反射系数均减小.

SO-FDTD method of analyzing the reflection and transmission coefficient of weakly ionizeddusty plasma layer

The complex permittivity of weakly ionized dusty plasma is presented as a fractional polynomial in jω.A frequency-domain constitutive relation of weakly ionized dusty plasma is given by shift operator finite-difference time-domain(SO-FDTD) method in time domain.Also the recurrence relation on the electromagnetic properties of weakly ionized dusty plasma is deduced by the SOFDTD. The reflection and transmission coefficients of the weakly ionized dusty plasma layer are calculated,and the influences which is caused by the change of the dust particle concentration and radius on reflection and transmission coefficients are also analyzed by the SO-FDTD method.The result shows that the reflection coefficient in the presence of dust particles is smaller than in the absence of dust particles,while the transmission coefficient in the former case is larger than in the latter case.Besides,it is found that the reflection coefficient decreases as the concentration or radius of dust particle increases.