Herein, we derive the expression for the atmospheric refractive index structure constant under the influence of planar acoustic wave perturbations under the influence of the acoustic field on the refractive index and energy of the atmosphere. Utilizing the low-frequency compensated power spectrum inversion technique, we simulate the refractive index power spectrum of atmospheric turbulence perturbed by a planar acoustic wave. Numerical analysis is conducted on the transmission characteristics of the vortex light superposition states in atmospheric turbulence perturbed by a plane acoustic wave under different acoustic wave transmission heights, acoustic pressure amplitudes, and frequencies. Results indicate that introducing an acoustic field induces fluctuations in the atmospheric refractive index structure constant, with a more pronounced impact on the refractive index than on energy. Compared with the sole consideration of the impact of the acoustic field on the atmospheric refractive index, incorporating its effect on atmospheric energy results in a decrease in the atmospheric refractive index structure constant. The impact of the acoustic field on atmospheric turbulence is directly proportional to both acoustic pressure amplitude and frequency. The influence of the acoustic field on the transmission properties of the vortex optical superposition state varies with different acoustic transmission distances. Consequently, the transmission characteristics of the vortex light superposition state can be actively modulated according to varying acoustic wave transmission distances. This study offers a theoretical basis for modulating the optical field transmission characteristics via acoustic fields.

中文翻译：

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平面声波扰动大气湍流中涡旋光叠加的传输特性


在此，我们推导出了在声场影响下平面声波扰动对大气折射率和能量影响下的大气折射率结构常数的表达式。利用低频补偿功率谱反转技术，我们模拟了受平面声波扰动的大气湍流的折射率功率谱。对不同声波传输高度、声压幅值和频率下平面声波扰动大气湍流中涡旋光叠加态的传输特性进行了数值分析。结果表明，引入声场会引起大气折射率结构常数的波动，对折射率的影响比对能量的影响更明显。与单独考虑声场对大气折射率的影响相比，结合其对大气能量的影响会导致大气折射率结构常数降低。声场对大气湍流的影响与声压幅值和频率成正比。声场对涡旋光学叠加态透射特性的影响随声传输距离的不同而变化。因此，涡旋光叠加态的传输特性可以根据不同的声波传输距离进行主动调制。本研究为通过声场调制光场传输特性提供了理论依据。