Parabolic and rectangular self-similar evolution in saturable media

Abstract

We numerically demonstrate the existence of parabolic and rectangular self-similar propagations of optical beams in saturable media. Rectangular self-similar evolution is achieved by imposing an external optical potential (lattice) that acts as a pulse shaping mechanism and it is shown that a rectangular shaped profile can be obtained by providing a delicate balance between the nonlinearity and saturation of the medium. © 2023, Publishing House of the Romanian Academy. All rights reserved.