For transmission based on long-distance vortex waves, the partial receiving scheme which uses a limited angular aperture receiving and demultiplexing multi-beam can solve the difficulty of the conventional whole beam receiving scheme due to the divergence of the vortex beam. But the atmospheric turbulence is rarely considered in analyzing the stability of the radio vortex (RV) communication system based on the partial angular aperture receiving (PAAR) scheme. Here we first introduce atmospheric turbulence into the RV communication system based on the PAAR scheme. Moreover, in order to compare the effects of turbulence on the PAAR scheme and the whole angular aperture receiving (WAAR) scheme, a new turbulence attenuation degree D model is proposed, which represents the stability of the RV communication system in the atmospheric turbulence environment. Simulation results indicate that the difference of D values between PAAR scheme and WAAR scheme does not exceed the order of 0.01 when the range of refractive index structure constant C 2 n is 10 −17 m − 2 3 − 10 −12 m − 2 3 and the distance is 90m-120m. When the range of C 2 n is 10 −13 m − 2 3 − 10 −12 m − 2 3 and the distance is 90m-120m, D value of PAAR scheme is always smaller than that of WAAR scheme. These demonstrations suggest that the RV communication system using PAAR scheme is more stable than that using WAAR scheme in the strong atmospheric turbulence environment.INDEX TERMS Atmospheric turbulence, radio vortex, partial angular aperture receiving scheme.

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A partial receiving scheme based on limited angular aperture multi-beam receiving and demultiplexing can solve the difficulty caused by the divergence of the vortex beam in the conventional whole beam receiving scheme and realize the long-distance transmission of the vortex wave. The propagation of the radio vortex beam in atmospheric turbulence is of significant importance in theoretical study and practical applications. In this paper, the influence of atmospheric turbulence on the performance of a radio vortex (RV) communication system based on a partial angular aperture receiving (PAAR) scheme under the horizontal non-Kolmogorov channel model is studied. The spiral spectrum of the PAAR scheme and the channel capacity of the RV communication system using the PAAR scheme are derived. Simulation results demonstrate that the selected transmission frequency range has a great influence on the RV communication system based on the PAAR scheme, and the choice of the orbital angular momentum (OAM) mode number L has an influence on the propagation distance. The capacity of RV communication systems based on the PAAR scheme increases with the increase of the transmission frequency in the selected transmission frequency range of 10 GHz–60 GHz. When the number of orbital angular momentum (OAM) modes L is small, we can improve the signal-to-noise ratio (SNR) to obtain a larger capacity of the RV communication system based on the PAAR scheme over a longer propagation distance.