Title: Conventional Scintillation Statistics with Turbulence Impacted Coupled Dipole Oscillation Show Chinese title

Title: 常规闪烁统计量与湍流影响的耦合偶极振荡

Abstract: We investigate the propagation of optical fields through polymethyl methacrylate (PMMA) rods under atmospheric turbulence conditions, employing a generalized Lorentz dipole oscillator model with nonlinear restoring forces and dipole-dipole coupling. The theoretical framework incorporates second- and third-order anharmonic terms ($\beta_i|r_i|r_i$ and $\alpha_i|r_i|^2r_i$) alongside dyadic Green's function-mediated coupling between localized dipoles. Gradient forces arising from spatially non-uniform field distributions and Lorentz force perturbations are incorporated through d'Alembert's principle, revealing an effective inertia mechanism that opposes rapid field redistribution. Modal diagonalization demonstrates that synchronized dipole oscillations can compensate turbulence-induced wavefront distortions, with the perturbation force $\delta F_{\text{Pert}}(t) = F'_{\text{Inertia}} - F_{\text{Inertia}}$ governing the compensation efficacy. Experimental verification employs a pseudo-random phase plate (PRPP) generating Kolmogorov-spectrum turbulence, with 200 frames recorded across four configurations: baseline, turbulence-only, and turbulence with one or two PMMA rods. Statistical analysis quantifies scintillation index variations. Results indicate that dipole-dipole coupling energy transitions enable partial turbulence compensation when stronger suppression observed for longer propagation paths through increased synchronization. Show Chinese abstract

Abstract: 我们研究了在大气湍流条件下，光场通过聚甲基丙烯酸甲酯（PMMA）杆的传播，采用具有非线性恢复力和偶极子-偶极子耦合的广义洛伦兹偶极子振荡器模型。 理论框架结合了二阶和三阶非谐项（$\beta_i|r_i|r_i$和$\alpha_i|r_i|^2r_i$），以及局域偶极子之间的二阶格林函数介导耦合。 由于空间非均匀场分布产生的梯度力和洛伦兹力扰动，通过达朗贝尔原理引入，揭示了一种有效的惯性机制，该机制对抗快速场重新分布。 模态对角化表明，同步偶极子振荡可以补偿湍流引起的波前畸变，扰动力$\delta F_{\text{Pert}}(t) = F'_{\text{Inertia}} - F_{\text{Inertia}}$控制补偿效果。 实验验证采用生成科莫戈罗夫谱湍流的伪随机相位板（PRPP），在四种配置下记录了200帧：基准、仅湍流，以及一个或两个PMMA杆的湍流。 统计分析量化了闪烁指数的变化。 结果表明，当通过增加同步性实现更长传播路径时，偶极子-偶极子耦合能量转换能够实现部分湍流补偿，且观察到更强的抑制效果。