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本文研究了利用聚焦透镜来提高超几何高斯二型(hypergeometric-Gaussian type-II, HyGG-II)光束在海洋湍流中传输时的信道容量的方法. 首先推导得到使用聚焦透镜之后HyGG-II光束在海洋湍流中的信道容量表达式, 随后仿真分析了不同光源参数和海洋湍流参数对信道容量的影响, 并与未加透镜时HyGG-II光束以及拉盖尔高斯光束的信道容量进行对比. 此外为了探究聚焦透镜增强信道容量的原因, 还仿真分析了聚焦HyGG-II光束的光强随传输距离的分布. 结果表明: 通过使用聚焦透镜可以使HyGG-II光束的信道容量在一定传输距离范围之内获得不同程度的增强, 最佳增强效果出现在光强的最大会聚位置附近. 通过增大光波长、调节聚焦透镜的焦距或HyGG-II光束的束腰半径, 还可以使增强效果进一步改善. 在小单位质量动能耗散率和大温度均方差耗散率的海洋湍流环境中, 使用聚焦透镜可以得到更明显的信道容量增强效果. 与拉盖尔-高斯(Laguerre-Gaussian, LG)光束相比, 传输相同距离时, 不管是否使用聚焦透镜HyGG-II光束的信道容量都更好. 本文研究结果可以为提高基于涡旋光束的水下无线光通信系统性能提供一定的参考.The channel capacity of the hypergeometric-Gaussian type-II (HyGG-II) beam propagating in ocean turbulence is investigated in this work. A method of utilizing a focusing mirror to enhance the channel capacity is further proposed. Comparison among focused HyGG-II beam, unfocused HyGG-II beam and Laguerre Gaussian beam is also carried out. The results indicate that the employment of focusing mirrors is effective in enhancing the channel capacity, however, the corresponding transmission distance range is restricted to about 100 m. Optimal enhancement is observed near the convergence point of the HyGG-II beam focused by mirrors. By increasing the wavelength and adjusting the focal length of the focusing mirror or the waist radius of the HyGG-II beam, the channel capacity can be further improved. Moreover, when the HyGG-II beam is transmitted in oceanic turbulence characterized by a smaller dissipation rate of kinetic energy per unit mass and a larger dissipation rate of mean-squared temperature, the enhancement effect of the focusing mirrors on the channel capacity is more pronounced. Compared with Laguerre Gaussian beams, HyGG-II beams exhibit superior channel capacity at the same transmission distance, no matter whether focusing mirrors are used. The findings can serve as a reference for designing underwater wireless optical communication systems based on the HyGG-II-beam.
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Keywords:
- hypergeometric-Gaussian type-II beam /
- focusing mirror /
- ocean turbulence /
- channel capacity
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图 1 不同波长下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化
Fig. 1. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different wavelengths.
图 2 不同焦距下聚焦HyGG-II光束和非聚焦HyGG-II光束的信道容量随传输距离的变化
Fig. 2. Variations of channel capacity with transmission distance for unfocused HyGG-II beam and focused HyGG-II beam with different focal lengths.
图 3 聚焦HyGG-II光束随传输距离的归一化光强分布
Fig. 3. Normalized intensity distributions of focused HyGG-II beam with transmission distance.
图 4 不同束腰半径下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化
Fig. 4. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different beam waists.
图 5 不同单位质量动能耗散率下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化
Fig. 5. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different dissipation rates of kinetic energy per unit mass.
图 6 不同温度均方差耗散率下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化
Fig. 6. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different dissipation rates of mean-squared temperature.
图 7 不同温度盐度贡献比下聚焦HyGG-II光束、非聚焦HyGG-II光束和LG光束的信道容量随传输距离的变化
Fig. 7. Variations of channel capacity with transmission distance for focused HyGG-II beam, unfocused HyGG-II beam, and LG beam with different ratios of temperature and salinity contributions.
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