“…Figure 7 shows some examples of partially coherent paraxial modes, generated numerically by means of the procedure outlined below as algorithm 1, with N = 1000. By changing U in equations ( 23) and ( 24), we can generate different partially coherent structured beams, for instance, Laguerre-Gauss (LG) [10,[18][19][20], fractional order vortex beams [21], Hermite-Gauss (HG) [10,22], Ince-Gauss (IG) [17,23] or Helmholtz-Gauss (HzG) [24,25] modes, to name a few.…”