Abstract
We introduce a novel type of twisted partially coherent beams with a nonconventional correlation function, named the twisted Hermite-Gaussian correlated Schell-model (THGCSM) beam. The condition that a twist phase can be imposed on a partially coherent beam is addressed for Schell-model fields endowed with rectangular symmetry. Further, the analytical formula for the THGCSM beam propagating in free space has been derived with the help of the generalized Collins formula. The propagation properties, such as the spectral density and the spectral degree of coherence (SDOC) of the THGCSM beam, also have been studied in detail by some numerical examples. The numerical results show that the twist phase plays a role in resisting beam splitting, caused by the correlation structure, and induces the rotation of the distribution of the SDOC on propagation. Moreover, it is interesting to find that when the beam carries a twist phase, this will endow the beam the ability to maintain its distribution of the SDOC on propagation and enhance the self -reconstruction capability of the SDOC. Our results may provide new insights into nonconventional partially coherent beams with twisted phase and may be useful in some applications, such as optical communications and information recovery.
Highlights
Coherence is one of the most notable features of a laser beam
We have introduced a new class of partially coherent twisted beam, named twisted Hermite-Gaussian correlated Schellmodel (THGCSM) beam, and investigated its propagation properties through an ABCD optical system
The analytical expression for the cross-spectral density (CSD) function of the twisted Hermite-Gaussian correlated Schell-model (THGCSM) propagation through an ABCD optical system has been derived with the help of the generalized Collins integral formula
Summary
Coherence is one of the most notable features of a laser beam. These light beams (i.e., partially coherent beam) have attracted intensive attentions due to their wide applications in inertial confinement fusion, ghost imaging, sub-Rayleigh imaging, particle trapping, free space optical communications and optical scattering [1,2,3,4,5,6,7,8]. According to Equation 24, we calculate the normalized spectral density of a focused THGCSM beam at several propagation distances with different values of the twist factor μ0, as shown in Figures 1, 2. In order to investigate the influence of the spatial coherence width and the twist phase on the beam propagation properties, the density plots of the normalized spectral density and the modulus of the SDOC have been studied, as shown in Figures 5, 6. Our results can find application in information transmission and recovery
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