The Influence of Angular Frequencies on Self-Focusing of the Laser Beam in Magnetized Electron-Positron Plasma

Recent advancements in ultra-short intense pulse technology have made it possible to generate electron–positron plasma in a laboratory. When intense lasers interact with this plasma, various non-linear effects occur, such as self-focusing. This research aimed to investigate how self-focusing is impacted by the primary frequencies of lasers and plasmas. The study developed a specific model that describes the non-linear relationship between self-focusing and angular frequencies of the laser and plasma. Plasma is characterized by the Langmuir angular frequency of all components and the electron cyclotron frequency. The presented results indicate that without an external magnetic field, the beam focusing at different frequencies is similar for both right-handed and left-handed polarizations. However, in the presence of an external magnetic field, a significant difference in the behaviour of right-handed and left-handed polarization is observed. The model also predicts the precise non-linear correlation between the beam width and the angular frequencies of the lasers and plasma.