介质中电磁波的能量-动量张量与Abraham-Minkowski佯谬的解决方案
The Energy-Momentum Tensor of Electromagnetic Waves in Media and the Solution to the Abraham-Minkowski Dilemma
AI总结:
本文通过拉格朗日密度定义介质中电磁波的能量-动力学张量,发现其类似流体可定义密度和压力,在考虑相互作用项后得到新的守恒能量-动量张量,同时导出Minkowski和Abraham动量,依据压力对实验结果的影响程度解决了Abraham-Minkowski佯谬。
摘要:
我们发现,由拉格朗日密度定义的介质中电磁波的能量-动力学张量与普通流体非常相似,并且可以类似地定义密度和压力。这里的压力不同于传统的光压。在此基础上,我们讨论了电磁波的平均动量、压力和伯努利效应。在考虑相互作用项的贡献后,我们得到了一个新的守恒能量-动量张量,并由此同时导出了Minkowski动量和Abraham动量。它们之间的区别在于动量中是否包含压力的贡献。当压力显著影响实验结果时,实验将支持Minkowski动量;反之,则支持Abraham动量。本文的发现为Abraham-Minkowski佯谬提供了一种新的解决方案。
英文摘要:
We find that the energy-dynamic tensor of electromagnetic wave in medium defined by Lagrange density is very similar to that of ordinary fluid, and density and pressure can be defined similarly. The pressure here is different from the traditional light pressure. On this basis, we discuss the average momentum, pressure and Bernoulli effect of electromagnetic wave. After considering the contribution of the interaction term, we obtain a new conserved energy-momentum tensor, from which Minkowski momentum and Abraham momentum are derived simultaneously. The difference between them is whether the contribution of pressure is included in momentum. When the pressure significantly affects the experimental results, the experiment will support Minkowski momentum. On the contrary, Abraham momentum is supported. The findings of this paper provide a new solution to the Abraham-Minkowski Dilemma.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。