Program for scientific research, which allows to simulate the phenomenon of self-focusing of different laser beams (including Gaussian, ring and vortex beams) in condensed media in different approximations taking into account noise.

• Python 3

• pdflatex

• Windows:

virtualenv venv
cd venv/Scripts
activate
pip install -r <path_to_project>/requirements.txt

• Linux

virtualenv venv -p python3
cd venv/bin
source ./activate
pip install -r <path_to_project>/requirements.txt

A mathematical model of beams self-focusing was obtained using the approximation of slowly varying amplitude and the terms responsible for diffraction and instantaneous Kerr effect are included. The model can be used to consider three-dimensional beams both in the axisymmetric approximation, and with both transverse spatial coordinates including ring beams with a phase singularity on the optical axis - the so-called optical vortices. The possibility of considering ring beams without phase singularity, as well as Gaussian beams, is supported. Implemented accounting for complex noise in the initial condition. In addition, two-dimensional beams are also considered.