论文标题
非连续性旋转多普勒效应
Non-collinear rotational Doppler effect
论文作者
论文摘要
理论上研究了从其自身轴（锥体进化）递延的轴旋转的螺旋光束的频移。能量和运动学方法都得出了一个矛盾的结论，即在系统旋转的整个周期之后，梁不会返回其初始状态。在不断发展的系统的不同几何参数下，梁横向图案旋转的特殊行为表现出了另一个悖论。检测系统运动的基本作用得到证实。发现了特殊的“自然”观察者的运动，以消除两个悖论。讨论了所描述的事实与汉纳的几何阶段概念的关系。
The frequency shift of a helical light beam experiencing the rotation near the axis deferring from its own axis (conical evolution) is studied theoretically. Both the energy and the kinematic approaches lead to a paradoxical conclusion that after a whole cycle of the system rotation the beam does not return to its initial state. Another paradox is manifested in the peculiar behavior of the beam transverse pattern rotation at different geometric parameters of the evolving system. A fundamental role of the detecting system motion is substantiated. The special "natural" observer's motion is found for which both paradoxes are eliminated. Relations of the described facts with the Hannay's geometric phase concept are discussed.
