电磁场的涡旋线
Vortex lines of the electromagnetic field
摘要：
采用基于Riemann-Silberstein矢量的电磁场相位的相对论定义，包括两个Lorentz不变量，以扩展我们以前的研究[I]。Bialynicki-Birula，Z. Bialynicka-Birula和C. Sliwa，Phys.Rev.A61，032110（2000）]中描述了从薛定谔波动力学到麦克斯韦理论的波动方程解中嵌入的涡线运动。结果表明，涡线的时间演化具有普遍性，麦克斯韦理论中的涡线时间演化与薛定谔波动力学中的涡线时间演化非常相似。与几何动力学的一些早期工作建立了联系。给出了含嵌入涡线的麦克斯韦方程组解的简单例子。对拉盖尔-高斯光束中的涡旋线作了较详细的处理。
英文摘要：
Relativistic definition of the phase of the electromagnetic field, involving two Lorentz invariants, based on the Riemann-Silberstein vector is adopted to extend our previous study [I. Bialynicki-Birula, Z. Bialynicka-Birula and C. Sliwa, Phys. Rev. A 61, 032110 (2000)] of the motion of vortex lines embedded in the solutions of wave equations from Schroedinger wave mechanics to Maxwell theory. It is shown that time evolution of vortex lines has universal features; in Maxwell theory it is very similar to that in Schroedinger wave mechanics. Connection with some early work on geometrodynamics is established. Simple examples of solutions of Maxwell equations with embedded vortex lines are given. Vortex lines in Laguerre-Gaussian beams are treated in some detail.
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