论文标题
旋转介质中的光子涡流梁
The photon vortex beam in rotating medium
论文作者
论文摘要
在本文中,我们考虑旋转介质中的光子涡流束,其中旋转速度充当有效的向量电位。使用Riemann-Silberstein载体,我们构建了光子波函数。使用Maxwell方程和一阶Minkowski构型关系,我们在移动介质中获得了光子的动态方程。对于固定状态,动态方程式可以写为类似狄拉克的方程。我们通过给定培养基的不同速度分布获得近似光子涡流束溶液,并在旋转培养基中找到衍射和非屈光度的laguerre-gaussian梁溶液。对于衍射的laguerre-gaussian梁,我们获得了可以改变旋转相的旋转而产生的新术语,然后因此推断了光子干扰模式的旋转行为。此外,在我们的理论中,我们获得了非弗拉格拉尔·高斯梁溶液中横向光子能量的Landau水平结构。
In this paper we consider the photon vortex beam in the rotating medium, where the rotating velocity acts as an effective vector potential. Using the Riemann-Silberstein vector, we construct the photon wave function. Using the Maxwell equations and the first-order Minkowski constitutive relations we get the dynamic equations of photon in moving medium. For the stationary states, the dynamic equations can be written as a Dirac-like equation. We obtain the approximate photon vortex beam solutions by the given the medium's different velocity distribution and find the diffracting and nondiffracting Laguerre-Gaussian beam solutions in the rotating medium. For the diffracting Laguerre-Gaussian beams, we acquire new terms arising from the rotation that can change the Gouy phase, and then accordingly infer the rotation behavior of the photon interference pattern. Furthermore, in our theory we obtain the Landau levels structure of transverse photon energy in the nondiffracting Laguerre-Gaussian beam solutions.