Vector Hermite-Gaussian correlated Schell-model beam

Abstract

A new kind of partially coherent vector beam named vector Hermite-Gaussian correlated Schell-model (HGCSM) beam is introduced as a natural extension of recently introduced scalar HGCSM beam. The realizability and beam conditions for a vector HGCSM beam with uniform state of polarization (SOP) or non-uniform SOP are derived, respectively. Furthermore, analytical formulae for a vector HGCSM beam propagating in free space are derived, and the propagation properties of a vector HGCSM beam with uniform SOP or non-uniform SOP in free space are studied and analyzed in detail. We find that the behaviors of a vector HGCSM beam on propagation are quite different from those of a conventional vector partially coherent beam with uniform SOP or non-uniform SOP, and modulating the structures of the correlation functions cannot only modulate the intensity distribution, but also the state of polarization, the degree of polarization and the polarization singularities of a partially coherent vector beam on propagation. Furthermore, we report experimental generation of a radially polarized HGCSM beam for the first time. Our results provide a novel way for polarization modulation.

Generation of perfect vortex and vector beams based on Pancharatnam-Berry phase elements

“…However, vectorial fields corresponding to other intensity profiles may provide the additional exotic properties. For examples, vector BG and Hermite-Gaussian have been studied recently to show their distinctiveness [35][36][37]. PV beams provide excellent resistance to the variation of topological charge and the perturbations in propagation, thus, the CVB with PV profile will be fervently desired in applications.…”

Average Intensity and Beam Quality of Hermite-Gaussian Correlated Schell-Model Beams Propagating in Turbulent Biological Tissue

“…Based on the sufficient condition for devising genuine correlation functions of partially coherent beams proposed by Gori et al [26,27], Chen et al introduced a class of partially coherent beam with a special spatially correlation function named Hermite-Gaussian correlated Schell-model (HGCSM) beam in 2015 [28]. The propagation properties of the HGCSM beam in free space, focusing optical system, Kolmogorov and non-Kolmogorov turbulent atmosphere have been investigated in detail [28][29][30][31]. It was found that the HGCSM beam exhibits many extraordinary properties, such as self-splitting on propagation in free space, splitting and combining in focusing optical system, and turbulent atmosphere, and selfhealing properties when a portion of the spot is obscured.…”

Generation of Vector Partially Coherent Optical Sources Using Phase-Only Spatial Light Modulators

“…Their widespread appeal stems from the fact that, by simply manipulating spatial coherence, the source's resulting shape and polarization can be precisely controlled. Numerous researchers have designed vector partially coherent sources for applications such as free-space and underwater optical communications [7][8][9][10][11][12][13][14][15][16], remote sensing [17,18], optical scattering [19][20][21][22][23][24][25][26][27][28][29], and particle manipulation and trapping [30][31][32][33].…”

“…The most straightforward and therefore popular design uses a Mach-Zehnder interferometer (MZI) consisting of polarizing beam splitters (PBSs) to split light from a common source into its vertical and horizontal polarization components [5,6,11,[34][35][36][37][38][39]. In each leg of the MZI, the amplitude (beam shape) and coherence of each field component are controlled using absorbing (amplitude) filters and ground-glass diffusers [6,[30][31][32][33]35,36,40,41] or spatial light modulators (SLMs) [5,11,34,37,38,42,43], respectively. While intuitive, the use of separate optical components to control beam shape and coherence complicates the optical setup (alignment, system footprint or size, et cetera) and limits the types of vector partially coherent sources that can be generated (the system's flexibility).…”