Numerical solution of Maxwell equations by a finite-difference time-domain method in a medium with frequency and spatial dispersion

N. N. Potravkin; I. A. Perezhogin; V. A. Makarov

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Numerical solution of Maxwell equations by a finite-difference time-domain method in a medium with frequency and spatial dispersion

机译：频率和空间色散介质中麦克斯韦方程组的时域有限差分数值解

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We propose an alternative method of integration of Maxwell equations. This method is the generalization ofna finite-difference time-domain method with an auxiliary differential equation for the case of a linear opticalnmedium with a frequency dispersion and an arbitrary source of spatial dispersion. We apply this method to thenproblem of the propagation of short plane-wave linearly polarized light pulses in such a medium. It is shownnthat some features of their propagation are completely different from those that are generally recognized for thenlinear optical activity phenomenon. For example, in some cases an initially linearly polarized light pulse becomesnelliptically polarized during the propagation. This effect is more prominent in the front part of the pulse.

机译：我们提出了麦克斯韦方程组积分的另一种方法。该方法是对带有频率色散和任意空间色散源的线性光学钕的有限差分时域方法的推广，带有辅助微分方程。我们将这种方法应用于在这种介质中短平面波线性偏振光脉冲的传播问题。结果表明，其传播的某些特征与线性光学活动现象通常公认的特征完全不同。例如，在某些情况下，最初的线性偏振光脉冲在传播过程中变为椭圆偏振。这种效果在脉冲的前部更为明显。

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《PHYSICAL REVIEW E》 |2012年第5期|1-6|共6页
作者
N. N. Potravkin; I. A. Perezhogin; V. A. Makarov;
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Faculty of Physics and International Laser Center of Lomonosov Moscow State University Moscow Russia;

Faculty of Physics and International Laser Center of Lomonosov Moscow State University Moscow Russia;

Faculty of Physics and International Laser Center of Lomonosov Moscow State University Moscow Russia;

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1. Numerical analysis of Finite-Difference Time-Domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium [J] . Bai Xixian, Wang Shuang, Rui Hongxing Computers & mathematics with applications . 2021,第Jula1期

机译：COL-COLE分散介质中2D / 3D麦克斯韦方程有限差分时域法的数值分析
2. Numerical solution of the time-domain Maxwell equations using high-accuracy finite-difference methods [J] . Jurgens HM., Zingg DW. SIAM Journal on Scientific Computing . 2001,第5期

机译：高精度时域有限差分法求解时域麦克斯韦方程组
3. Propagation of a Short Electromagnetic Pulse in a Linear Medium with Frequency and Spatial Dispersion: Direct Integration of the Maxwell Equations by the Finite Difference Method [J] . V. A. Makarov, I. A. Perezhogin, N. N. Potravkin Moscow University Physics Bulletin . 2012,第3期

机译：具有频率和空间色散的线性介质中短电磁脉冲的传播：用有限差分法直接积分麦克斯韦方程组
4. Two-dimensional finite-difference time-domain solution for maxwell'sequations using pseudo-spectral method [C] . Lei Xiao, Lanbo Liu, Vernon F. Cormier International conference on ground-penetrating radar;GPR'98 . 1998

机译：拟谱法求解麦克斯韦方程组的二维时域有限差分法
5. Numerical boundary conditions for the fourth-order accurate finite-difference time-domain solution of Maxwell's equations. [D] . Hwang, Kyu-Pyung. 2002

机译：麦克斯韦方程组四阶精确有限差分时域解的数值边界条件。
6. On the immersed interface method for solving time-domain Maxwell’s equations in materials with curved dielectric interfaces [O] . Shaozhong Deng -1

机译：关于在具有弯曲介电界面的材料中求解时域麦克斯韦方程的沉浸界面方法
7. Numerical solution of the time-domain Maxwell equations using high-accuracy finite-difference methods [O] . H. M. Jurgens, D. W. Zingg 2010

机译：用高精度有限差分方法求解时域麦克斯韦方程组的数值解
8. Three Dimensional Finite-Difference Time-Domain Solution of Maxwell's Equations With Perfectly Matched Absorbing Layers [R] . Elson, J. M. 1999

机译：具有完全匹配吸收层的麦克斯韦方程的三维时域有限差分解

Numerical solution of Maxwell equations by a finite-difference time-domain method in a medium with frequency and spatial dispersion

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