Radius of curvature of Laguerre-Gausssian beam

In this thesis, the radius of curvature of Laguerre-Gaussian beam is formulated for turbulent atmosphere and analyzed numerically for various radial and angular mode numbers, the source size, propagation distance and wavelength in moderate, high and no turbulence levels. Results have shown that Laguerre-Gaussian beam approximates to Gaussian beam and radius of curvature of Laguerre-Gaussian beam reduces with increasing turbulence levels. The results have also shown that the radius of curvature of Laguerre-Gaussian beam increases with increasing source sizes and changes slowly with longer wavelengths.