Generalized high-order twisted partially coherent beams and their propagation characteristics

doi:10.1007/s11467-022-1196-8

Front. Phys.

2022, Vol. 17

Issue (5) : 52506 https://doi.org/10.1007/s11467-022-1196-8

RESEARCH ARTICLE

Generalized high-order twisted partially coherent beams and their propagation characteristics

Hai-Yun Wang¹, Zhao-Hui Yang¹, Kun Liu¹, Ya-Hong Chen¹, Lin Liu¹(

), Fei Wang¹(

), Yang-Jian Cai^1,²(

)

¹. School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
². Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Devices, School of Physics and Electronics, Shandong Normal University, Jinan 250014, China

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Abstract

Twist phase is a nontrivial statistical phase that only exists in partially coherent fields, which makes the beam carry orbital angular momentum (OAM). In this paper, we introduce a new kind of partially coherent beams carrying high-order twist phase, named generalized high-order twisted partially coherent beams (GHTPCBs). The propagation dynamics such as the spectral density and OAM flux density propagating in free space are investigated numerically with the help of mode superposition and fast Fourier transform (FFT) algorithm. Our results show that the GHTPCBs are capable of self-focusing, and the beam spot during propagation exhibits teardrop-like or the diamond-like shape in some certain cases. Moreover, the influences of the twist order and the twist factor on the OAM flux density during propagation are also illustrated in detail. Finally, we experimentally synthesize the GHTPCBs with controllable twist phase by means of pseudo-mode superposition and measure their spectral density during propagation. The experimental results agree well with the theoretical predictions. Our studies may find applications in nonlinear optics and particle trapping.

Keywords light manipulation statistical optics twist phase coherence structure orbital angular momentum

Corresponding Author(s): Lin Liu,Fei Wang,Yang-Jian Cai

About author:

Tongcan Cui and Yizhe Hou contributed equally to this work.

Issue Date: 06 September 2022

Cite this article:

Hai-Yun Wang,Zhao-Hui Yang,Kun Liu, et al. Generalized high-order twisted partially coherent beams and their propagation characteristics[J]. Front. Phys. , 2022, 17(5): 52506.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-022-1196-8
https://academic.hep.com.cn/fop/EN/Y2022/V17/I5/52506

Fig.1 Square of the DOC

| μ (r 1, 0) | 2

for GHTPCBs with different values of beam order

m

and

n

in the source plane.

Fig.2 Density plots of normalized spectral density of the GHTPCBs with

u = 8 mm ? m ? n

for different beam orders

m

and

n

at several propagation distances in free space.

Fig.3 Density plots of normalized spectral density of the GHTPCBs with

u = ? 8 mm ? m ? n

for different beam orders

m

and

n

at several propagation distances in free space.

Fig.4 Density plots of OAM flux density of the GHTPCBs with

u = 8 mm ? m ? n

for different beam orders

m

and

n

at several propagation distances in free space.

Fig.5 Density plots of OAM flux density of the GHTPCBs with

u = ? 8 mm ? m ? n

for different beam orders

m

and

n

at several propagation distances in free space.

Fig.6 Experimental setup for generating GHTPCBs via pseudo-mode superposition. NDF, neutral-density filter; BE, beam expander;

CA 1

CA 2

, circular apertures; RM, reflect mirror; HWP, half-wave plate; BS, beam splitter; SLM, spatial light modulator; P, linear polarizer;

L 1

L 2

, thin lenses; PC, personal computer; CCD, charge-coupled device.

Fig.7 Experimental results of square of the DOC

| μ (r 1, 0) | 2

for GHTPCBs with different values of beam order

m

and

n

in the source plane.

Fig.8 Experimental results of the normalized spectral density of the GHTPCBs with

u = 8 mm ? m ? n

for different beam orders

m

and

n

at several propagation distances in free space.

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