Nonparaxial propagation properties of a vector partially coherent dark hollow beam

Abstract

Based on the generalized Raleigh-Sommerfeld diffraction integrals, analytical nonparaxial propagation formulas for the elements of the cross-spectral density matrix of a vector partially coherent dark hollow beam (DHB) in free space are derived. The effect of spatial coherence and beam waist sizes on the statistical properties of a nonparaxial vector DHB is studied numerically. It is found that one can modulate the statistical properties of a nonparaxial vector DHB by varying its initial spatial coherence, which will be useful in some applications where nonparaxial beams are commonly encountered.

The subtraction of mutually displaced Gaussian Schell-model beams

“…In classical optics, coherence theory [1][2][3] is a subject that continuously receives innovative contributions from countless authors, both within the scalar [4][5][6][7][8][9][10][11] and vectorial realm [12][13][14][15][16][17][18][19][20][21], including nonstationary states [22][23][24][25][26].…”

Depolarization of Vector Light Beams on Propagation in Free Space

“…Future research will be related to polarization effects of partially coherent vector vortex beams [80][81][82][83][84]. Of particular interest is the study of the effects of non-paraxiality in the propagation of focused vector beams [85][86][87][88][89][90][91][92][93][94][95][96][97][98], of evanescent waves [99,100] and the effects of coherence and polarization of pulsed beams [101]. Other important topics are the polarization effects in plasmonic structures, including subwavelength gratings [102], multilayer devices and microlens arrays for imaging systems [103][104][105][106][107][108], diffractive optical elements [109][110][111], etc.…”

Nonparaxial Propagation of Bessel Correlated Vortex Beams in Free Space

“…Nonparaxial propagation properties of partially coherent Lorentz–Gauss and four-petal Gaussian vortex beams on the basis of the Rayleigh–Sommerfeld diffraction integral were investigated in [ 36 , 37 ]. In [ 38 , 39 ] nonparaxial propagation of vector partially coherent beams are considered. It is well known that nonparaxial effects significantly affect the characteristics of tightly focused beams [ 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 ].…”