Study on intensity distributions of a BG beam with effect of tilt and astigmatism aberration in a turbulent atmosphere

Using Fresnel-Kirchhoff diffraction integral equations, the intensity distributions of BG (Bessel-Gaussian beam) propagating in turbulent atmosphere is investigated in detail. The effect of tilt and astigmatism aberration on the intensity distribution of the BG beam with different topological charge, propagation distance and structural constant of atmosphere is evaluated numerically. It is observed that the effect tilt aberration for the BG beam with odd topological charge (m = 1) is greater than the BG beam with even topological charge (m = 2). We also noticed that, the effect of astigmatism aberration on the intensity distribution is found to be less than that of tilt aberration. It is also observed that the effect astigmatism aberration for the BG beam with even topological charge (m = 2) is greater than the BG beam with odd topological charge (m = 1). Hence the resultant intensity distribution of BG beam under the effect of tilt aberration plays a major role than that of astigmatism phase aberration in turbulent atmosphere.