Propagation Properties of a Twisted Hermite-Gaussian Correlated Schell-Model Beam in Free Space

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.

Evaluation of Twisted Gaussian Schell Model beams produced with phase randomized coherent fields

“…For each value of L, we obtain the mean and standard deviation of ∆ L by sampling 10 3 values of the random phases and using Eq. (10). The black solid curve is our theoretical prediction given by Eq.…”

“…can be thought of as a residual coherence between the pseudo-modes. Evaluating expression (10) for L from 10 to 19000 with 1000 random samples for each data point, we obtain the mean ∆ L and standard deviation σ ∆ L . By curve fitting, we find that the mean values are well described by the expression ∆ L ≈ 3.56(exp(1/4 √ L) − 1), with standard deviation σ ∆ L ≈ ∆ L /2.…”

“…The sense of rotation can be defined by the handedness of the beam. Additionally, other classes of TGSM beams such as twisted Laguerre Gaussian Schell-model (TL-GSM) [9], twisted Hermite GSM (THGSM) beams [10], ring-shaped twisted Gaussian Schell-model array (RT-GSMA) [11], and twisted vortex Gaussian Schell-model (TVGSM) beams [12] have been introduced and their propagation properties have been studied. Due to the unique properties of the twist phase, TGSM beams find applications in various research areas such as optical communication through atmospheric and underwater turbulence [13][14][15][16][17], in resisting coherence induced depolarization, overcoming the classical Rayleigh limit [18], to control the coherence of optical solitons [19], to boost entanglement in photon pairs [20], and in stimulated parametric down-conversion [21].…”

Evaluation of twisted Gaussian Schell model beams produced with phase randomized coherent fields

“…The sense of rotation can be defined by the handedness of the beam. Additionally, other classes of TGSM beams such as twisted Laguerre Gaussian Schell-model (TLGSM) [9], twisted Hermite GSM (THGSM) beams [10], ring-shaped twisted Gaussian Schellmodel array (RTGSMA) [11], and twisted vortex Gaussian Schell-model (TVGSM) beams [12] have been introduced and their propagation properties have been studied. Due to the unique properties of the twist phase, TGSM beams find applications in various research areas such as optical communication through atmospheric and underwater turbulence [13][14][15][16][17], in resisting coherence induced depolarization, overcoming the classical Rayleigh limit [18], to control the coherence of optical solitons [19], to boost entanglement in photon pairs [20], and in stimulated parametric down-conversion [21].…”

Propagation properties and radiation forces of partially coherent self-shifting cosine-Gaussian beams

“…The experimentally produced partially coherent beams with various complex degrees of coherence was obtained by Wang et al [7]. Due to the wide applications in ghost imaging, free space optical communications, particle trapping, and optical scattering [6][7][8][9][10], partially coherent beams have attracted intensive attention.…”