Comparison of beam profiles from analytic solution and computational models

In this thesis, we have compared the receiver plane beam profiles by computing the Huygens-Fresnel integral as convolution integral and Fourier integral operator and the results obtained from analytic derivation. The comparisons made on different beam types such as Gaussian, Annular-Gaussian, Sine-Gaussian, Sinh-Gaussian, Cos-Gaussian, Cosh-Gaussian beams. To make computations and comparisons we have developed a Matlab code, this code formulates the field expression for beam types on source plane, computes the receiver plane intensity distribution for three approaches of Huygens-Fresnel diffraction integral, and compares the results. Using this code, for the mentioned beam types, receiver beam profiles are computed and compared against different propagation distances and different beam parameters in free space.