Abstract
Based on the extended Huygens–Fresnel principle, the analytical propagation equations of a partially coherent Lommel-Gaussian (PCLG) beam propagating in atmospheric turbulence have been introduced. The spectral properties of the PCLG beam in turbulent atmosphere are explored. It is found by numerical simulations that after propagating in turbulent atmosphere, the intensity distribution and spectral degree of coherence (SDOC) of the PCLG beam vary on propagation. The intensity distribution of the PCLG beam depends closely on the strength of atmospheric turbulence and the parameters of the source beam, and will eventually transform into a Gaussian profile at the receiver plane. In addition, with smaller OAM quantum number and structure constant or bigger wavelength, the SDOC of the PCLG beam spreads more rapidly. The results are expected to be useful for understanding the properties of the Lommel-Gaussian beam in turbulence.
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