论文标题
耗散电动力学中的广义赫兹载体
Generalized Hertz vector in the dissipative electrodynamics
论文作者
论文摘要
在电磁理论中，赫兹载体减少了自由场中的电势。这种潜力的另一个优点是，解决某些辐射过程要容易得多。这表明相关方法有时比标量和基于矢量电位的关系更有效。最后，可以通过直接计算赫兹向量来推导可测量的场变量，电场和磁场。但是，目前，如果忽略了导电电流j =σe，则引入HERTZ矢量。我们建议对导电电流的情况进行概括，即，对于电磁场将不可逆转地耗散到焦耳热中的情况下。提出的程序使我们还能够引入讨论的耗散电磁波的拉格朗日公式。它为未来的研究打开了一种新的方式。
In the electromagnetic theory, the Hertz vector reduces the number of potentials in the free fields. The further advantage of this potential is that it is much easier to solve some radiation processes. It indicates that the related method is sometimes more effective than the scalar and vector potential-based relations. Finally, the measurable field variables, the electric and magnetic fields, can be deduced by direct calculation from the Hertz vector. However, right now, the introduction of the Hertz vector operates if the conductive currents j = σE are neglected. We suggest a generalization for the case of conductive currents, i.e., for such cases when the electromagnetic field dissipates irreversibly into Joule heat. The presented procedure enables us to introduce also the Lagrangian formulation of the discussed dissipated electromagnetic waves. It opens a new way for future studies.
