Effect of spatial coherence on propagation, tight focusing, and radiation forces of an azimuthally polarized beam

Nonparaxial propagation properties of a vector partially coherent dark hollow beam

“…This assumption is reasonable in some cases. For example, when a partially coherent beam with azimuthal polarization is focused by a high-numericalaperture objective lens, a nonparaxial vector partially coherent DHB without the z component of the electric field (or whose z component of the electric field is negligible) can be produced [34,65]. After nonparaxial propagation in free space, the CSD matrix of a vector partially coherent field in the output plane can be expressed as ⃗ Wx 1 ; y 1 ; x 2 ; y 2 ; z 0 @ W xx x 1 ; y 1 ; x 2 ; y 2 ; z W xy x 1 ; y 1 ; x 2 ; y 2 ; z W xz x 1 ; y 1 ; x 2 ; y 2 ; z W yx x 1 ; y 1 ; x 2 ; y 2 ; z W yy x 1 ; y 1 ; x 2 ; y 2 ; z W yz x 1 ; y 1 ; x 2 ; y 2 ; z W zx x 1 ; y 1 ; x 2 ; y 2 ; z W zy x 1 ; y 1 ; x 2 ; y 2 ; z W zz x 1 ; y 1 ; x 2 ; y 2 ; z 1 A ;…”

“…We can expect to generate a vector partially coherent DHB through combing two orthogonally polarized partially coherent DHBs, which can be produced from a multimode fiber when a partially coherent beam is coupled into the fiber with a suitable incidence angle [24]. A nonparaxial vector partially coherent DHB is commonly encountered when a partially coherent beam with special polarization is focused by a high-numericalaperture objective lens [65]. Thus it is important to study the nonparaxial propagation properties of a vector partially coherent DHB.…”

Degree of paraxiality of cylindrical vector partially coherent Laguerre–Gaussian beams

“…The statistical properties such as average intensity, degree of polarization and degree of coherence of CV partially coherent LG beams in free space under paraxial and nonparaxial region were explored in [23,24]. More recently, Wang et al reported experimental generation of a partially coherent radially polarized beam [25] and a partially coherent azimuthally polarized beam [26], and measured the coherence and polarization properties of the partially coherent radially polarized beam [27]. It was found that the beam profile with dark-hollow and fattop in the focal plane can be achieved by controlling the initial spatial coherence of a partially coherent radially polarized beam, which will be useful for material thermal processing and particle trapping.…”

Optical trapping Rayleigh dielectric particles with focused partially coherent dark hollow beams

“…Thus, it is of practical significance to incorporate partial coherence into beams and to investigate the influence of the spatial coherence length on the trapping effect. More recently, numerous researchers have turned their attentions to partially coherent beams [24][25][26][27][28]. Wang et al investigated the effect of spatial coherence on RFs acting on a Rayleigh dielectric sphere [24].…”