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arXiv 2007.11290physics.optics
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光在正常色散介质中的超光速传播

Superluminal light propagation in a normal dispersive medium

Zahra Amini Sabegh, Mohammad Mahmoudi

摘要:

研究了拉盖尔-高斯(LG)光束通过色散原子介质的传输。我们限定在介质中施加一个弱探测场和三个强耦合场,由此发展了一个四能级双$V$型原子系统。我们首先把三个强耦合场都看作平面波,计算了探测LG场在束腰处光轴上的群速度的解析表达式。看来,色散介质中的所得公式与自由空间中的公式是一致的。我们还找到了一个更一般的解析表达式的探测LG场的光轴外的群速度,并比较其在传播轴上的投影。结果表明,这两个量在光轴上、在束腰处和在瑞利范围内是相等的。最后,我们假设其中一个强耦合场是LG场,并探讨了它的轨道角动量(OAM)如何影响探测LG场的群速度。我们的分析预测了一个奇怪的行为的群速度的探测LG场内的正常色散介质,使它可以超过光的速度在自由空间。LG光束的这种不寻常的传播是由于其螺旋相位波前通过平面场和LG场的经典干涉而发生畸变。

英文摘要:

We study the propagation of a Laguerre-Gaussian (LG) beam through a dispersive atomic medium. We restrict ourselves to applying a weak probe field and three strong coupling fields to the medium, which leads to developing a four-level double $V$-type atomic system. We first regard all the three strong coupling fields as the plane-waves and calculate an analytical expression for the group velocity of the probe LG field on the optical axis at the waist of the field. It appears that the resulting formula in a dispersive medium is in good agreement with that of the free space. We also find a more general analytical expression for the group velocity of the probe LG field out of the optical axis and compare with its projection onto the propagation axis. It is turned out that these two quantities are equal on the optical axis, at the waist of the beam and the Rayleigh range. Finally, we assume one of the strong coupling fields to be an LG field and explore how its orbital angular momentum (OAM) affects the group velocity of the probe LG field. Our analysis predicts a strange behavior for the group velocity of the probe LG field inside a normal dispersive medium so that it can exceed the speed of light in free space. Such an unusual propagation of the LG light beam results from the distortion of its helical phase front via the classical interference of the planar and LG fields.

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