General optical beam formulation and their propagation in atmospheric optical telecommunication links

In this thesis, we have developed a general source beam to combine many types of different beams such as Bessel, Bessel Gaussian, Laguerre, Laguerre Gaussian, Ince Gaussian, dark hollow, bottle, super Gaussian, Lorentz, flat-topped, Hermite-sinusoidal- Gaussian, sinusoidal-Gaussian like cos-Gaussian, sine-Gaussian, cosh-Gaussian, sinh- Gaussian, annular and their higher order modes with their truncated, elegant and elliptical versions in a single expression. Also we developed a Matlab code to plot intensity distributions at source and receiver. Using this Matlab code and the general source beam formulation, all the mentioned beams? source equations are obtained, compared with their existing forms in the literature and intensity patterns of some of them are plotted at source plane. Using a part of this formulation and the Matlab simulation, intensity is calculated and plotted intensity distributions of Hermite-sinusoidal-Gaussian, sinusoidal- Gaussian, annular and higher-order annular beams at different propagation distances in atmospheric turbulence. Keywords: Free Space Optics, Atmospheric Turbulence, Intensity