Analysis of the propagation of flat-topped beam with various beam orders through turbulent atmosphere

Propagation of flat-topped beam with circular symmetry in a turbulent atmosphere is investigated and has led to the development of an analytical formula for the average intensity. Detailed analyses of flat-topped beams demonstrate that higher order flat-topped beams are less affected from turbulence in the media. Also an analytical formula for beam width of flat-topped beams propagating through turbulent atmosphere is derived which shows that higher order flat-topped beams are less broadened. We also compute Strehl ratio which evidently proves validation of the above discussion for any propagation distance.