拉盖尔–高斯光束在小尺度流场内的气动光学效应
Aero-Optical Effect of Laguerre-Gaussian Vortex Beams through a Small-Scale Flow Field
DOI: 10.12677/MP.2017.76032, PDF,    国家自然科学基金支持
作者: 蒋倩雯, 辛 煜, 赵 琦, 张淇博：南京理工大学电子工程与光电技术学院，江苏 南京；周志超, 许凌飞：上海机电工程研究所，上海
关键词: 气动光学；传输特性；数值仿真；拉盖尔–高斯光束；小尺度流场；Aero-Optics； Propagation Characteristics； Numerical Simulation； Laguerre-Gaussian Vortex Beams； Small-Scale
摘要: 为研究拉盖尔–高斯(LG)光束在经过由微小凸起造成的流场后的气动光学效应，采用二阶紧致差分对抛物型的复振幅微分方程进行求解，并使用四阶龙格库塔沿光束路径积分。比较了具有不同拓扑荷数的LG光束以及高斯光束在不同马赫数、不同攻角、不同海拔下的Strehl比(SR)以及成像偏移。仿真结果表明，在同样流场中，LG光束的拓扑荷数越大，相位稳定性越好且均优于高斯光束，但振幅稳定性越差，当且仅当径向指数为0，拓扑荷数为1时LG光束优于高斯光束。
Abstract: To learn about the propagation characteristics of Laguerre-Gaussian (LG) vortex beams through the aero-optical environment formed by a micro-turret, the parabolic beam equations of complex amplitude were solved by second-order compact differences and Runge-Kutta integration was used for integral along the optical path. Strehl ratio (SR) and imaging displacement were calculated at different Mach numbers, different angles of attack, different altitudes and compared among Gaussian beam and LG beams with different topological charges. Simulations show that in the same flow field, the LG beam which has more topological charges, the phase of it has better stability and is always better than that of Gaussian beam, while the amplitude of it has worse stability, only when the radial mode index equals 0 and topological charge equals 1, the amplitude stability of LG beam is better than that of Gaussian beam.
文章引用：蒋倩雯, 辛煜, 周志超, 赵琦, 许凌飞, 张淇博. 拉盖尔–高斯光束在小尺度流场内的气动光学效应[J]. 现代物理, 2017, 7(6): 273-281. https://doi.org/10.12677/MP.2017.76032

参考文献

[1] Coullet, P., Gil, L. and Rocca, F. (1989) Optical Vortices. Optical Communications, 73, 403-408. [Google Scholar] [CrossRef] 
[2] Baumann, S.M., Kalb, D.M., MacMillan, L.H., et al. (2009) Propagation Dynamics of Optical Vortices Due to Gouy Phase. Optics Express, 17, 9818-9827. [Google Scholar] [CrossRef] 
[3] Lochab, P., Senthilkumaran, P. and Khare, K. (2016) Near-Core Structure of a Propagating Optical Vortex. Journal of the Optical Society of America A, 33, 2485-2490. [Google Scholar] [CrossRef] 
[4] Zhang, Y., Djordjevic, I.B. and Gao, X. (2012) On the Quantum-Channel Ca-pacity for Orbital Angular Momentum-Based Free-Space Optical Communications. Optics Letters, 37, 3267-3269. [Google Scholar] [CrossRef] 
[5] Tang, M. and Zhao, D. (2015) Propagation of Multi-Gaussian Schell-Model Vortex Beams in Isotropic Random Media. Optics Express, 23, 32766. [Google Scholar] [CrossRef] 
[6] Aksenov, V.P., Kolosov, V.V. and Pogutsa, C.E. (2014) Random Wandering of Laser Beams with Orbital Angular Momentum during Propagation through Atmospheric Turbulent. Applied Optics, 53, 3607-3614. [Google Scholar] [CrossRef] 
[7] Morgan, P., White, M. and Visbal, M. (2011) Simulation of Aero-Optics for Flow Over a Flat-Window Hemispherical Turret. Aiaa Fluid Dynamics Conference and Exhibit, 453-458. [Google Scholar] [CrossRef] 
[8] Gordeyev, S., Jumper, E. and Hayden, T. (2013) Aero-Optics of Supersonic Boundary Layers. Aiaa Journal, 50, 682- 690. [Google Scholar] [CrossRef] 
[9] Gao, Q., Jiang, Z., Yi, S., et al. (2013) Statistical Characteristics of the Tilts of the Aero-Optical Aberration Caused by the Supersonic Turbulent Boundary Layer. Optics Letters, 38, 751-753. [Google Scholar] [CrossRef] 
[10] John, P. Siegenthaler, S.G. and Jumper, E. (2005) Shear Layers and Aper-ture Effects for Aero-Optics. 36th AIAA Plasmadynamics and Lasers Conference.
[11] White, M.D. (2010) High-Order Parabolic Beam Approximation for Aero-Optics. Journal of Computational Physics, 229, 5465-5485. [Google Scholar] [CrossRef] 
[12] Mahajan, V.N. (1983) StrehlRatio for Aberration in Terms of Their Aberration Variance. Journal of the Optical Society of America A, 73, 860-861. [Google Scholar] [CrossRef] 
[13] Levy, U., Derevyanko, S. and Silberberg, Y. (2016) Light Modes of Free Space. Progress in Optics, 61, 237-281. [Google Scholar] [CrossRef]