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arXiv 1302.4877physics.opticsphysics.class-ph
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傍轴wave interference中的横向相对论效应

Transverse relativistic effects in paraxial wave interference

Konstantin Y. Bliokh, Yana V. Izdebskaya, Franco Nori

摘要:

我们考虑横向运动的干涉傍轴波的相对论变形。由于超光速的横向相速度,当波以非相对论速度相对于彼此移动时,干涉图样会出现明显的变形。类似的畸变也出现在干涉波的相互倾斜上,这导致类似于相对论时间延迟的相位延迟。我们用涡旋光束和平面波之间的干涉来说明这些观测结果,这种干涉表现出径向条纹明显变形为叉形图案(相对论性霍尔效应)。此外,我们描述了一个额外的相对论运动的干涉条纹(在涡旋的情况下的反旋转),这在相同的非相对论速度变得明显。

英文摘要:

We consider relativistic deformations of interfering paraxial waves moving in the transverse direction. Owing to superluminal transverse phase velocities, noticeable deformations of the interference patterns arise when the waves move with respect to each other with non-relativistic velocities. Similar distortions also appear on a mutual tilt of the interfering waves, which causes a phase delay analogous to the relativistic time delay. We illustrate these observations by the interference between a vortex wave beam and a plane wave, which exhibits a pronounced deformation of the radial fringes into a fork-like pattern (relativistic Hall effect). Furthermore, we describe an additional relativistic motion of the interference fringes (a counter-rotation in the vortex case), which become noticeable at the same non-relativistic velocities.

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