Simulation of propagation of flattend Gaussian beam in strongly nonlocal nonlinear media using paraxial group transformation

In this paper, propagation of flattend Gaussian beam in optical media is simulated by split step fourier method, ABCD matrix method, and paraxial group method, and results are compared. For this purpose, at first, flattend Gaussian beam, strongly nonlocal nonlinear media and investigation methods of propagation of optical beams are introduced. Then, propagation of flattend Gaussian beam in free space and strongly nonlocal nonlinear media are simulated by these methods. Results show that paraxial group method can be considered as a suitable method for investigation of propagation of optical beams in an optical media.