Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle

Lu, Xiaotan; Wang, Zhuoyi; Lu, Xingyuan; Zhao, Chengliang; Cai, Yangjian

doi:10.3390/photonics10040444

Open AccessCommunication

Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle

by

Xiaotan Lu

¹,

Zhuoyi Wang

¹

,

Xingyuan Lu

^1,*

,

Chengliang Zhao

¹

and

Yangjian Cai

^2,3

¹

School of Physical Science and Technology, Soochow University, Suzhou 215006, China

²

School of Physics and Electronics, Shandong Normal University, Jinan 250014, China

³

Shandong Provincial Engineering and Technical Center of Light Manipulation & Shandong Provincial Key Laboratory of Optics and Photonic Devices, School of Physics and Electronics, Shandong Normal University, Jinan 250014, China

^*

Author to whom correspondence should be addressed.

Photonics 2023, 10(4), 444; https://doi.org/10.3390/photonics10040444

Submission received: 21 March 2023 / Revised: 5 April 2023 / Accepted: 11 April 2023 / Published: 13 April 2023

(This article belongs to the Special Issue Advances and Application of Structured Light)

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Abstract

For a partially coherent Laguerre–Gaussian (PCLG) vortex beam, information regarding the topological charge (TC) is concealed in the cross-spectral density (CSD) function phase. Herein, a flexible method for the simultaneous determination of the sign and magnitude of the TC for a PCLG vortex beam is proposed based on the measured CSD amplitude and phase after the beam propagates through a dual cylindrical lens with adjustable angles. Both the stripes in the CSD amplitude and phase exhibit quantitative relationships with the value of TC, that is,

N = 2 |l| + 1

. Meanwhile, the angle adjustability of cylindrical lenses allows flexible measurements, thus rendering the scheme effective for both high and extreme coherences.

Keywords: vortex beam; topological charge; partially coherent; cylindrical lens

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MDPI and ACS Style

Lu, X.; Wang, Z.; Lu, X.; Zhao, C.; Cai, Y. Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle. Photonics 2023, 10, 444. https://doi.org/10.3390/photonics10040444

AMA Style

Lu X, Wang Z, Lu X, Zhao C, Cai Y. Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle. Photonics. 2023; 10(4):444. https://doi.org/10.3390/photonics10040444

Chicago/Turabian Style

Lu, Xiaotan, Zhuoyi Wang, Xingyuan Lu, Chengliang Zhao, and Yangjian Cai. 2023. "Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle" Photonics 10, no. 4: 444. https://doi.org/10.3390/photonics10040444

APA Style

Lu, X., Wang, Z., Lu, X., Zhao, C., & Cai, Y. (2023). Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle. Photonics, 10(4), 444. https://doi.org/10.3390/photonics10040444

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Topological Charge Measurement of a Partially Coherent Vortex Beam Using Dual Cylindrical Lenses with an Arbitrary Angle

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