The influence of air turbulence on the transverse wandering of a single femtosecond laser filament is studied by numerical simulation.The results show that the average transverse displacement of the single filament(δr} is proportional to the square root of turbulent structure constant and the relations between <δr> and the propagation distance can be fit by a power function.In addition,by using an axicon as a focusing optics,the wandering of a single filament is suggested to be stronger than the free-propagation case.
