title: Analytic descriptions of cylindrical electromagnetic waves in a nonlinear medium.
abstract: A simple but highly efficient approach for dealing with the problem of cylindrical electromagnetic waves propagation in a nonlinear medium is proposed based on an exact solution proposed recently. We derive an analytical explicit formula, which exhibiting rich interesting nonlinear effects, to describe the propagation of any amount of cylindrical electromagnetic waves in a nonlinear medium. The results obtained by using the present method are accurately concordant with the results of using traditional coupled-wave equations. As an example of application, we discuss how a third wave affects the sum- and difference-frequency generation of two waves propagation in the nonlinear medium.
authors.affiliation: Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Hao
authors.initials: H
authors.lastname: Xiong
authors.affiliation: Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Liu-Gang
authors.initials: LG
authors.lastname: Si
authors.affiliation: Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Xiaoxue
authors.initials: X
authors.lastname: Yang
authors.affiliation: Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Wu