By the Fourier transformation upon an autofocusing Lommel–Gaussian vortex beam (LGVB) with J-Bessel beam, a novel autofocusing LGVB with I-Bessel beam is generated, and then the generated beam propagation in turbulence-free channel and turbulent atmosphere is investigated. Results demonstrate that under similar beam intensity profile parameters, a LGVB with J-Bessel beam has stronger anti-diffraction effect than a LGVB with I-Bessel beam in short-distance transmission, while a LGVB with I-Bessel beam has better autofocusing properties in long-distance transmission. Also, with the increase in topological charge, the intensity profile of the LGVB with I-Bessel beam remains almost unchanged within a certain distance, while it enlarges and the maximum intensity reduces beyond the certain distance. Additionally, when the ring radius approaches to a Gaussian beam waist, a LGVB with I-Bessel beam would degenerate into a LGVB with J-Bessel beam. Besides, impact of refractive index structure parameter and wavelength on the received probability of the LGVB with I-Bessel beam are also studied, and it is showed that the received probability decreases with the increase in the refractive index structure parameter or wavelength. This work could extend potential applications of LGVB with I-Bessel beam in free-space optical communication.

通过对J贝塞尔光束自聚焦洛梅尔-高斯涡旋光束 (LGVB) 进行傅里叶变换，生成了一种新型I贝塞尔光束自聚焦 LGVB，然后研究了生成的光束在无湍流通道和湍流大气中的传播。结果表明，在相似的光束强度分布参数下，在短距离传输中，J -Bessel光束的LGVB比I -Bessel光束的LGVB具有更强的抗衍射效果，而在短距离传输中， I -Bessel光束的LGVB具有更好的自聚焦特性。长距离传输。此外，随着拓扑电荷的增加，I-贝塞尔光束的LGVB的强度分布在一定距离内几乎保持不变，而超过一定距离则增大且最大强度减小。此外，当环半径接近高斯光束腰时，具有I-贝塞尔光束的LGVB将退化为具有J-贝塞尔光束的LGVB 。此外，还研究了折射率结构参数和波长对I-贝塞尔光束LGVB接收概率的影响，结果表明，随着折射率结构参数或波长的增加，接收概率降低。这项工作可以扩展 LGVB 与I-贝塞尔光束在自由空间光通信中的潜在应用。