摘要
By introducing an imaginary space transform curvature ρx, a complex space called Riemannian space is constructed, in which the light propagating in free space has the trajectory of straight line while propagating. Moreover, this curvature couples with that of the wave front of the paraxial beam ρw, and therefore a complex curvatureρe is constructed, which can be employed to investigate the behavior of the light transmission and to generalize the ABCD law.
By introducing an imaginary space transform curvature ρx, a complex space called Riemannian space is constructed, in which the light propagating in free space has the trajectory of straight line while propagating. Moreover, this curvature couples with that of the wave front of the paraxial beam ρw, and therefore a complex curvatureρe is constructed, which can be employed to investigate the behavior of the light transmission and to generalize the ABCD law.
基金
Project supported by the National Hi-Tech Inertial Confinement Fusion Committee,the Guangdong Natural Science Foundation,the Postdoctoral Foundation of Guangdong and National Postdoctoral Foundation of China.
