Optical wave packet compression using counterpropagating Scorer beams

We investigate the diffractive paraxial wave equation with an external potential, utilizing self-similarity and variable separation methods. The exact solution to this evolution equation, expressed through Scorer functions, gives rise to the new Scorer beams. We explore the dynamics of counterpropagating Scorer beams, as promising optical wave packets, focusing on their compression behavior. The Scorer beams are characterized by two key parameters: the attenuation factor and the initial pulse width. By appropriately adjusting these parameters, significant beam compression can be achieved. Specifically, increasing the attenuation factor enhances compression and raises pulse amplitude, while reducing the initial pulse width further amplifies these effects. Along the way, we observe interesting interference patterns of the counterpropagating Scorer beams that have never been seen before. This study introduces a novel approach to beam compression and opens new possibilities for practical applications of Scorer beams.