论文标题
自由麦克斯韦方程的轴对称解的明确表示
An explicit representation for the axisymmetric solutions of the free Maxwell equations
论文作者
论文摘要
Garay-Avendaño\＆Zamboni-Rached（2014）定义了两类的自由麦克斯韦方程的轴对称解。我们证明，这两类溶液的线性组合涵盖了所有完全传播的时谐波轴对称的免费麦克斯韦场 - 因此，通过总结频率，所有这些都完全传播了轴对称的免费麦克斯韦场。它为这些字段提供了明确的表示。这将很重要，例如，在圆盘星系中具有模型的星系星辐射场，作为自由麦克斯韦方程的精确解决方案。 关键字：麦克斯韦方程；轴向对称；精确的解决方案；电磁二元性
Garay-Avendaño \& Zamboni-Rached (2014) defined two classes of axisymmetric solutions of the free Maxwell equations. We prove that the linear combinations of these two classes of solutions cover all totally propagating time-harmonic axisymmetric free Maxwell fields -- and hence, by summation on frequencies, all totally propagating axisymmetric free Maxwell fields. It provides an explicit representation for these fields. This will be important, e.g., to have the interstellar radiation field in a disc galaxy modelled as an exact solution of the free Maxwell equations. Keywords: Maxwell equations; axial symmetry; exact solutions; electromagnetic duality
