基于交叉谱密度函数以及相干偏振统一理论, 导出径向偏振部分相干螺旋贝塞尔光束的光场表达式, 研究了该光束的传输特性.通过理论分析和数值计算可知, 径向偏振部分相干螺旋贝塞尔光束在自由空间传输时, 光束以固定的螺旋半径进行螺旋传输.且在传输过程中, 光束逐渐由螺旋空心光束演变为螺旋高斯光束, 这一过程所需的传输距离与相干长度有关.该光束的偏振角和偏振度都会受到螺旋半径和传输距离的影响, 同时, 相干长度的变化也会影响偏振度的分布.而相干长度, 传输距离和螺旋半径的改变并不会影响光束的偏振椭圆率的分布.

Based on the crossspectral density and the unified theory of coherent and polarization, the intensity expression of the Radially Polarized Partially Coherent Spiral Bessel Beam (RPPCSBB) can be significantly deduced. The propagation properties of the beam were also investigated. The RPPCSBB transmits in a spiral path with a fixed distance in free space by the theoretical analysis and numerical calculation. During the transmission, the beam gradually evolves from a spiraling hollow beam to a spiraling Gaussian beam, and the transmission distance is related to the coherence length. The corresponding beam polarization angle and degree are also related to the spiral radius and the coherence length, and the polarization degree relates to the transmission distance. However, the coherence length, transmission distance, and the spiral radius do not affect the distribution of the beam polarization ellipticity.