Multi-ring-shaped optical field

Abstract

We introduce a novel class of planar random source producing far fields with multi-ring-shaped average intensity patterns by modeling the source degree of coherence, and confirm that such sources are physically genuine. Further, we derive the analytical expressions for the cross-spectral density (CSD) function of the beam-like fields generated by the novel source propagating in free space and in a linear isotropic random medium, and analyze the evolution of the spectral density and the state of coherence. It is shown that at some distance from the source the spectral density of the propagating beam in free space takes on the shape-invariant multi-ring profile, and the number of rings and intensity profiles of the beams can be flexibly adjusted by changing the source parameters. However, in atmospheric turbulence, we find that at sufficiently large distances from the source, the multi-ring profiles are destroyed by the medium, even if it remains such for intermediate distances from the source.

Multiple optical cages generated by focusing a Laguerre-cosine-Gaussian correlated Schell-model beam

“…After Gori et al generally established the sufficient condition for devising a genuine SDOC of a scalar or vector partially coherent beam [6], more and more attention has been paid to the partially coherent beams with non-conventional SDOCs. A large variety of partially coherent beams have been discovered, including the circular or rectangular Laguerre-Gaussian correlated Schell-model (LGCSM) beam [5,[7][8][9][10][11][12][13][14][15], cos-Gaussian correlated Schell-model (CGCSM) beam [16][17][18][19][20][21][22][23], and so on [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Such non-conventional partially coherent beams display extraordinary propagation properties.…”