Partially coherent Ince–Gaussian beams

Abstract

We report on the study and generation of Ince–Gaussian beams in the spatially partially coherent regime. The inherent random fluctuations both in time and space of these partially coherent fields make their characterization difficult. Our results show that the cross-correlation function (CCF) provides insight into the composition of the Ince–Gaussian beam, as well as into its spatial coherence structure and singularities. Our experimental findings are in very good agreement with the numerical simulations, particularly revealing a rich structure of nodal lines in the CCF.

Structured light in the spatially partially coherent regime

“…The loss of spatial coherence in this model can be equivalently originated from two mechanisms, the first one is an increase in the transverse extent of the source, while keeping a fixed waist w 0 , whereas the second is a reduction of w 0 while maintaining the size of the source. With these two mechanisms we can obtain the same value of µ, however these can be achieved by different experimental strategies [16,17]. Therefore, to determine a certain degree of spatial coherence, what matters is the relative size between a and w 0 with respect to each other.…”

“…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.…”

Scintillation performance of Ince-Gaussian beam in atmospheric turbulence

“…In case of vectorial Ince-Gaussian beam, it is shown in [16] that TM and TE modes are independent and orthogonal to each other. Partially coherent Ince-Gaussian beam is generated and theoretical cross correlation function is satis ed with experimental measurements [17]. Elegant Ince-Gaussian beam is de ned by showing that it is biorthogonal elegant solution of paraxial wave equation [18].…”

Transformation of asymmetric Schell-model beams with a wavefront-folding interferometer

“…Due to the fact that random fields with symmetric intensity patterns have many interesting applications in areas of periodic trapping of micro-particles and free-space communications [21,22], it is important to design novel beam profiles with different kinds of symmetries. Recently, several partially coherent beams with Cartesian symmetry have been proposed [23,24], yet very few explorations have been devoted to random fields with non-Cartesian symmetries.…”