辐射电流密度的时间分析

摘要：

从电磁波方程，首先发现，在数学上，任何向远场区域发射电磁波的电流密度必须在时间上无限可微，并且当电流密度的奇数阶时间导数建立在发射的电场中时，偶数阶导数建立在发射的磁场中。借助于法拉第定律和安培定律，光的传播被解释为一个涉及电场和磁场交替产生的过程。从这个解释，前面的数学结果被证明是物理上的声音。这也解释了为什么传统的延迟波方程的解决方案无法描述的发射场。

英文摘要：

From electromagnetic wave equations, it is first found that, mathematically, any current density that emits an electromagnetic wave into the far-field region has to be differentiable in time infinitely, and that while the odd-order time derivatives of the current density are built in the emitted electric field, the even-order derivatives are built in the emitted magnetic field. With the help of Faraday's law and Ampere's law, light propagation is then explained as a process involving alternate creation of electric and magnetic fields. From this explanation, the preceding mathematical result is demonstrated to be physically sound. It is also explained why the conventional retarded solutions to the wave equations fail to describe the emitted fields.

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