Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Xianlong Liu; Tengfei Wu; Lin Liu; Chengliang Zhao; Yangjian Cai

doi:10.3788/COL201715.030002

Journals >Chinese Optics Letters >Volume 15 >Issue 3 >Page 030002 > Article

Chinese Optics Letters
Vol. 15, Issue 3, 030002 (2017)

Experimental determination of the azimuthal and radial mode orders of a partially coherent LG_pl beam (Invited Paper)

Xianlong Liu^1、2, Tengfei Wu^1、2, Lin Liu^1、2, Chengliang Zhao^1、2, and Yangjian Cai^1、2、*

Author Affiliations

¹College of Physics, Optoelectronics and Energy & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China

²Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province and Key Lab of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China

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DOI: 10.3788/COL201715.030002 Cite this Article Set citation alerts

Xianlong Liu, Tengfei Wu, Lin Liu, Chengliang Zhao, Yangjian Cai. Experimental determination of the azimuthal and radial mode orders of a partially coherent LG_pl beam (Invited Paper)[J]. Chinese Optics Letters, 2017, 15(3): 030002 Copy Citation Text

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Distributions of the normalized average intensity and modulus of the correlation functions of a partially coherent LGpl beam with p=1, l=1, ω0=0.57 mm, and δg=0.8 mm in the focal plane. (a) I(r), (b) |μ(r,0)|, (c) |μ(r,−r)|, and (d) |μ(r,2r)|.

Fig. 1. Distributions of the normalized average intensity and modulus of the correlation functions of a partially coherent LGpl beam with p=1, l=1, ω0=0.57 mm, and δg=0.8 mm in the focal plane. (a) I(r), (b) |μ(r,0)|, (c) |μ(r,−r)|, and (d) |μ(r,2r)|.

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Fig. 2. Distribution of the normalized modulus of the DCF of a partially coherent LGpl beam for different l with p=1. (a) l=0, (b) l=1, (c) l=2, and (d) l=3.

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Fig. 3. Distribution of the normalized modulus of the DCF of a partially coherent LGpl beam for different p with l=6 in the focal plane. (a) p=0, (b) p=1, (c) p=2, and (d) p=3.

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Fig. 4. Experimental setup for generating a partially coherent LGpl beam and measuring the correlation functions. NDF, neutral density filter; BE, beam expander; L1, L2, L3, thin lenses; GAF, Gaussian amplitude filter; CA, circular aperture; PC1, PC2, personal computers.

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Fig. 5. Schematic for the transformations of the intensity matrix. The matrices with green, yellow, and red elements denote the intensity matrix In(x,y), the first sub-matrix In′(x′,y′), and the second sub-matrix In′(2x′,2y′), respectively.

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Fig. 6. Experimental results of the average intensity and square of the normalized modulus of different correlation functions of the generated partially coherent LGpl beam in the focal plane with p=1 and l=1. (a) I(r), (b) |μ(r,0)|2, (c) |μ(r,−r)|2, and (d) |μ(r,2r)|2.

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Fig. 7. Experimental results of the square of the normalized modulus of the DCF of the generated partially coherent LGpl beam with p=1 for different l in the focal plane. (a) l=0, (b) l=1, (c) l=2, and (d) l=3.

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Fig. 8. Experimental results of the square of the normalized modulus of the DCF of the generated partially coherent LGpl beam with l=6 for different p in the focal plane. (a) p=0, (b) p=1, (c) p=2, and (d) p=3.

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