摘要
为了加深对涡旋光旋转多普勒效应的理解,利用广义相对论对涡旋光旋转多普勒效应进行了机理研究。首先利用坐标变换得到弯曲空间的度规张量,进而得到弯曲空间下电位移矢量和磁感应强度表达式;在此基础上,可推导出旋转系统中的麦克斯韦方程组;然后利用准经典近似条件得到涡旋光因所在参考系转动产生的角频率差;最后,基于上述结论并结合涡旋光的螺旋波阵面特性,得到涡旋光旋转多普勒效应公式。该公式与文献中通过其他方法得到的涡旋光旋转多普勒效应公式相同,证明了该方法的正确性。
To deepen the study of the vortex beams rotational Doppler effect（VBRDE）,the mechanism of VBRDE based on general theory of relativityis is researched in this paper.Firstly,metric tensor in the curved space is figured out bytransformation of coordinates,and the electric displacement vector and magnetic induction intensity in the curved space can be further deduced.On this basis,the Maxwell＇s equations in the rotating coordinate system are worked out.After that,based on the quasi-classical approximation,the angular frequency differenceof vortex beams caused by the rotation of reference systems is solved.Finally,the formula of the VBRDE in the general relativity is obtained by combining the results above and the characteristic of spiral wave fronts of the vortex beams.The obtained formula completely agrees with the equation deducedby other methods in references,demonstrating the correctness of the proposed method.
出处
《光学与光电技术》
2018年第1期64-70,共7页
Optics & Optoelectronic Technology
基金
国家自然科学基金(51475472
61403396)
国家863计划(2015AA8018038C)资助项目
关键词
物理光学
旋转多普勒效应
涡旋光
轨道角动量
广义相对论
physical optics
rotational doppler effect
vortex beams
orbital angular momentum
general theory of relativity
