共查询到18条相似文献,搜索用时 828 毫秒
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给出了一种新的计算各向异性磁化色散介质的有限差分(FDTD)算法,称为移位算子FDTD(SO-FDTD)算法,它利用算子之间的移位递推关系,将一类色散介质的包含介电常数的表达式写成有理分式函数形式,进而导出FDTD中一系列相关量之间的关系.通过计算各向异性等离子体平板对电磁波的反射系数和透射系数,验证了该算法的高效性和高精度,与JEC算法相比,可使计算效率提高数倍.
关键词:
磁化等离子体
电磁波
FDTD方法
各向异性 相似文献
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提出了斜入射分层线性各向异性等离子体电磁散射的时域有限差分(FDTD)方法,通过将二维麦克斯韦方程等价地转换为一维麦克斯韦方程,避免了用二维时域有限差分方法分析该散射问题,极大地提高了计算效率.分析推导了TEz和TMz波斜入射线性分层各向异性等离子体电磁散射的FDTD方法,然后通过该方法计算不同入射角的各向异性等离子板的电磁波反射系数,并与其解析解进行比较,结果表明该方法的准确性和有效性.最后,将该算法应用于计算涂覆分层各向异性等离子体金属板在不同入射角下的反射系数,分析了不同入射角对反射系数的影响. 相似文献
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磁化等离子体光子晶体是磁化等离子体和介质(真空)构成的人工周期性结构.本文用磁化等离子体的分段线形电流密度卷积(PLCDRC)时域有限差分(FDTD)算法分析了磁化等离子体光子晶体特性.分析了磁化等离子体参数对电磁带隙的影响.从时域的角度分析了高斯脉冲在磁化等离子体光子晶体中的传播过程,给出了时域反射和透射波形.从频域的角度给出了磁化等离子体光子晶体的电磁反射系数和透射系数,并对结果进行了分析.
关键词:
磁化等离子体
光子晶体
时域有限差分法 相似文献
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根据递推卷积原理,将磁化等离子体的频域介电系数过渡到时域,通过引入时域复数极化率张量和时域复数电位移矢量,得到了磁化等离子体的三维时域有限差分方法迭代式. 为了验证该方法,用它计算了非磁等离子体球的后向雷达散射截面,与移位算子法结果符合很好. 应用该方法计算和分析了磁化等离子体球的电磁波散射,发现其后向散射时域波形明显出现了交叉极化分量.
关键词:
递推卷积
磁化等离子体
电磁散射
时域有限差分方法 相似文献
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针对二维各向异性磁等离子体提出一种有效的无条件稳定算法,新算法结合了辅助微分方程(ADE)方法与Crank-Nicolson approximate-decoupling(CNAD)时域有限差分算法仿真各向异性磁等离子体介质。传统的ADE-FDTD方法应用在一维各向异性色散介质具有较高的精度和效率,将提出的新算法ADE-CNAD-FDTD应用到二维各向异性磁等离子体介质中不仅解决了电磁波在具有各向异性和频率色散特性介质中传播的仿真难题,而且去除了CFL稳定性条件。该算法在保留了原有的精度情况下大幅度地提高了计算效率并成为无条件稳定的形式。给出一个算例证明该算法的有效性,通过模拟电磁波在磁等离子体中的传播,仿真结果与传统的ADE-FDTD算法对比,证实了该算法的高效率、无条件稳定性和高精度。 相似文献
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《Physics letters. A》2006,356(2):124-130
A new auxiliary ordinary differential equation and its solutions are used for constructing exact travelling wave solutions of nonlinear partial differential equations in a unified way. The main idea of this method is to take full advantage of the auxiliary equation which has more new exact solutions. More new exact travelling wave solutions are obtained for the quadratic nonlinear Klein–Gordon equation, the combined KdV and mKdV equation, the sine-Gordon equation and the Whitham–Broer–Kaup equations. 相似文献
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Solving (2+1)-dimensional sine-Poisson equation by a modified variable separated ordinary differential equation method 下载免费PDF全文
By introducing a more general auxiliary ordinary differential equation (ODE), a modified variable separated ordinary differential equation method is presented for solving the (2+1)-dimensional sine-Poisson equation. As a result, many explicit and exact solutions of the (2+1)-dimensional sine-Poisson equation are derived in a simple manner by this technique. 相似文献
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Ammarah Raees Umer Farooq Muzamil Hussain Waseem Asghar Khan Fozia Bashir Farooq 《理论物理通讯》2021,73(6):65801
The aspiration of this research is to explore the impact of non-similar modeling for mixed convection in magnetized second-grade nanofluid flow. The flow is initiated by the stretching of a sheet at an exponential rate in the upward vertical direction. The buoyancy effects in terms of temperature and concentration differences are inserted in the $x$-momentum equation. The aspects of heat and mass transfer are studied using dimensionless thermophoresis, Schmidt and Brownian motion parameters. The governing coupled partial differential system (PDEs) is remodeled into coupled non-similar nonlinear PDEs by introducing non-similar transformations. The numerical analysis for the dimensionless non-similar partial differential system is performed using a local non-similarity method via bvp4c. Finally, the quantitative effects of emerging dimensionless quantities on the non-dimensional velocity, temperature and mass concentration in the boundary layer are conferred graphically, and inferences are drawn that important quantities of interest are substantially affected by these parameters. It is concluded that non-similar modeling, in contrast to similar models, is more general and more accurate in convection studies in the presence of buoyancy effects for second-grade non-Newtonian fluids. 相似文献
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V. A. Makarov I. A. Perezhogin N. N. Potravkin 《Moscow University Physics Bulletin》2012,67(3):304-307
The specific features of the propagation of a short (on the order of ten oscillations) electromagnetic pulse in an isotropic linear medium with frequency and spatial dispersion, which were established via integration of a system of Maxwell equations by the finite-difference time-domain method using an auxiliary differential equation, are discussed. The variation of the direction of the electric field-strength vector oscillations that occurs in an optically active medium upon propagation of a linearly polarized ultrashort pulse incident on it is shown to be significantly different from the rotation of the polarization plane (proportional to the propagation coordinate) in the case of the incidence of a long pulse. 相似文献
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将移位算子(shift operator,SO)-时域有限差分(fintie difference time domain,FDTD)方法推广到外磁场沿任意方向时磁化铁氧体的情形.从磁化铁氧体的相对磁导系数张量和各向异性情形下Maxwell旋度方程出发,推导出外磁场沿任意方向情形下磁化铁氧体电磁散射的SO-FDTD迭代公式.应用该方法计算了磁化铁氧体层、磁化铁氧体球及含磁化铁氧体涂层的Von Karman形雷达罩电磁散射,数值计算结果表明了该算法的正确有效性.
关键词:
磁化铁氧体
FDTD
移位算子法 相似文献
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An extended Fan's algebraic method is used for constructing exact traveling wave solution of nonlinear partial differential equations. The key idea of this method is to introduce an auxiliary ordinary differential equation which is regarded as an extended elliptic equation and
whose degree r is expanded to the case of r>4. The efficiency of the
method is demonstrated by the KdV equation and the variant Boussinesq
equations. The results indicate that the method not only offers all
solutions obtained by using Fu's and Fan's methods, but also some new solutions. 相似文献