Modal Analysis of Pseudo-Schell Model Sources

Abstract

All pseudo-Schell model sources have been shown to possess the same continuous set of circularly symmetric modes, all of them presenting a conical wavefront. For keeping energy at a finite level, the mode amplitude along the radial coordinate is modulated by a decreasing exponential function. A peculiar property of such modes is that they exist in the Laplace transform’s realm. After a brief discussion of the near-zone, we pass to the far-zone, where the field can be evaluated in closed form. The corresponding features of the intensity distribution are discussed.

Nonparaxial Propagation of Bessel Correlated Vortex Beams in Free Space

“…Based on this, various partially coherent vortex beams with nonconventional correlation functions were introduced. A new class of Laguerre–Christoffel–Darboux sources emitting shape-invariant beams is introduced in [ 19 , 20 ]. Vortex partially coherent beams carrying orbital angular momentum (OAM) are useful in optical manipulation and trapping, optical machining, optical communication, quantum information, and optical microscopy.…”