Abstract
Here, a novel family of random electromagnetic sources (twisted electromagnetic multi-Gaussian Schell-model pulsed beams) exhibiting transverse orbital angular momentum is proposed. The physically realizable conditions for these sources are established, and the analytical formulas of the cross-spectral density matrix elements of the beam propagating through an ABCD optical system are derived within the framework of the extended Collins formula. The behaviors of the spectral density, and the spectral degree of coherence of the beam during transmission are investigated numerically. This work enriches the classical theory of stochastic electromagnetic beams propagation, and may benefit applications requiring a specified degree of beam coherence with transverse orbital angular momentum.
Highlights
FOR nearly 30 years, vortex beams exhibiting orbital angular momentum (OAM) have attracted enormous attention owing to their various potential applications in free-space optical communications (FSOC), optical tweezers, astronomy [1,2,3,4,5], etc
For the case involving μxx ≠ μyy, Fig. 3 shows the contour of the normalized spectral density distribution of the twisted EMGSMP beam which was focused by a thin lens at several propagation distances for different values of the total numbers of terms N and M
It was observed that the spectral degree of coherence (DOC) structure of a focused twisted EMGSMP source does not exhibit a symmetry profile at that point; it exhibited a counterclockwise rotation with the increasing propagation distance
Summary
FOR nearly 30 years, vortex beams exhibiting orbital angular momentum (OAM) have attracted enormous attention owing to their various potential applications in free-space optical communications (FSOC), optical tweezers, astronomy [1,2,3,4,5], etc. In a 1993 paper, Simon and Mukunda introduced the twisted Gaussian Shell-model (GSM) beam [6] exhibiting OAM This phase, which can only exist in the partially coherent field, can twist the beam around its axis during propagation [6, 7]. We combined the twisted space-frequency beams and random electromagnetic pulsed sources with a multi-Gaussian correlation structure to generate a twisted electromagnetic pulsed fields. These sources exhibit a transverse OAM and rotate along the x–ω plane.
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