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Propagation of a radial phase-locked partially coherent elegant Laguerre–Gaussian beam array in non-Kolmogorov medium

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Abstract

A model of a radial phase-locked partially coherent elegant Laguerre–Gaussian (PCELG) beam array has first been introduced in theory. The analytical propagation equation for the cross-spectral density function of a radial phase-locked PCELG beam array in non-Kolmogorov medium has been derived using the extended Huygens–Fresnel principle. The average intensity and spectral degree of coherence properties of a radial phase-locked PCELG beam array propagating in non-Kolmogorov medium have been studied in details using the numerical examples. One can find that the evolution properties of a radial phase-locked PCELG beam array propagating in non-Kolmogorov medium are affected by the initial beam parameters and the non-Kolmogorov medium, and the beam array propagating in non-Kolmogorov medium will evolve into a solid beam with Gaussian-like distribution in the far field.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (11604038, 11875096, 11404048), Natural Science Foundation of Liaoning Province (201602062, 201602061) and the Fundamental Research Funds for the Central Universities (3132018235, 3132018236).

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Authors and Affiliations

  1. Department of Physics, College of Science, Dalian Maritime University, Dalian, 116026, China

    Dajun Liu, Haiyang Zhong, Guiqiu Wang, Hongming Yin & Yaochuan Wang

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  1. Dajun Liu
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  2. Haiyang Zhong
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  3. Guiqiu Wang
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  4. Hongming Yin
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  5. Yaochuan Wang
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Correspondence to Dajun Liu or Yaochuan Wang.

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Liu, D., Zhong, H., Wang, G. et al. Propagation of a radial phase-locked partially coherent elegant Laguerre–Gaussian beam array in non-Kolmogorov medium. Appl. Phys. B 125, 52 (2019). https://doi.org/10.1007/s00340-019-7161-8

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