Self-Focusing Property of Partially Coherent Beam With Non-Uniform Correlation Structure in Non-Linear Media

Abstract

Coherence in a light beam has the potential to serve as a degree of freedom for manipulating the beam. In this work, the self-focusing property of a partially coherent beam with a non-uniform correlation structure propagating in a non-linear medium is investigated. The analysis of the evolution of beam width reveals that the coherence structure plays a vital role in the self-focusing formation. A threshold condition for the coherence radius is proposed for the first time, and the relation of self-focusing length and initial coherence radius is studied numerically and analytically. It is shown that a feasible approach for manipulating the self-focusing length by adjusting the initial coherence radius is achieved.

Self-focusing of partially coherent beams based on complex screen and split-step Fourier transform methods

“…This theory yields important propagation characteristics of the GSM in nonlinear media under the approximation that the beams maintain the GSM after passing through it. In 2022, Lu et al studied the self-focusing property of PCBs with nonuniform correlation structures in nonlinear media and demonstrated the feasibility of controlling the self-focusing length by controlling the initial coherence radius [34] .…”