Sze Michelle Wynne C, Sugon Quirino M, McNamara Daniel J
Department of Physics, Ateneo de Manila University, Loyola Heights, Quezon City, Philippines 1108.
J Opt Soc Am A Opt Image Sci Vis. 2010 Nov 1;27(11):2468-79. doi: 10.1364/JOSAA.27.002468.
In this paper, we use Clifford (geometric) algebra Cl(3,0) to verify if electromagnetic energy-momentum density is still conserved for oblique superposition of two elliptically polarized plane waves with the same frequency. We show that energy-momentum conservation is valid at any time only for the superposition of two counter-propagating elliptically polarized plane waves. We show that the time-average energy-momentum of the superposition of two circularly polarized waves with opposite handedness is conserved regardless of the propagation directions of the waves. And, we show that the resulting momentum density of the superposed waves generally has a vector component perpendicular to the momentum densities of the individual waves.
在本文中，我们使用克利福德（几何）代数(Cl(3,0))来验证对于两个具有相同频率的椭圆偏振平面波的斜叠加，电磁能量 - 动量密度是否仍然守恒。我们表明，仅对于两个反向传播的椭圆偏振平面波的叠加，能量 - 动量守恒在任何时候都是有效的。我们表明，两个具有相反旋向的圆偏振波叠加的时间平均能量 - 动量是守恒的，与波的传播方向无关。并且，我们表明叠加波产生的动量密度通常具有一个垂直于各个波的动量密度的矢量分量。
