title: Influence of imperfections in gradient-index waveguides on Talbot effects.
abstract: On the basis of the unitary transformation and the Lie algebra decomposition technology widely used in quantum mechanics, we obtain the analytical propagator for light beams propagating through an imperfect gradient-index (GRIN) waveguide. The results show that, unlike in the straight GRIN waveguide widely studied, in an imperfect GRIN waveguide, self-imagining phenomena can result in two new effects: one is a phase shift including a global one and a local one, in which the local one results in a change of direction of the light beam propagating through the imperfect GRIN waveguide; the other is a transverse shift of self-image. The transverse deviation occurring in the imperfect GRIN waveguide is also calculated.
authors.affiliation: School of Physics Science and Technology, Central South University, Changsha 410083, Hunan, China. zhukaicheng@vip.sina.com
authors.forename: Kaicheng
authors.initials: K
authors.lastname: Zhu
authors.forename: Huiqin
authors.initials: H
authors.lastname: Tang