使用动画纹理可视化电磁场和能量流
Using Animated Textures to Visualize Electromagnetic Fields and Energy Flow
摘要：
动画纹理可用于以高空间分辨率可视化矢量场的空间结构和时间演化。动画需要两个时间相关的向量场。这些矢量场中的第一个确定要显示的空间结构。第二个是速度场，它决定了第一个矢量场的场线的时间演化。我们用磁准静态中的一个例子来说明这种方法，其中第二速度场取为电单极子的ExB漂移速度。这种显示随时间变化的电磁场的技术具有三个教学优势：（1）表示的连续性强调了场传递的力的接触作用性质;（2）动画纹理运动显示了电磁能量流的方向;（3）随时间变化的场配置使人们能够深入了解麦克斯韦应力。
英文摘要：
Animated textures can be used to visualize the spatial structure and temporal evolution of vector fields at high spatial resolution. The animation requires two time-dependent vector fields. The first of these vector fields determines the spatial structure to be displayed. The second is a velocity field that determines the time evolution of the field lines of the first vector field. We illustrate this method with an example in magneto-quasi-statics, where the second velocity field is taken to be the ExB drift velocity of electric monopoles. This technique for displaying time-dependent electromagnetic fields has three pedagogical advantages: (1) the continuous nature of the representation underscores the action-by-contact nature of forces transmitted by fields; (2) the animated texture motion shows the direction of electromagnetic energy flow; and (3) the time-evolving field configuration enables insights into Maxwell stresses.
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