arXiv 2511.033182025-11-05physics.opticsphysics.app-ph

湍流影响下耦合偶极子振荡的常规闪烁统计

Conventional Scintillation Statistics with Turbulence Impacted Coupled Dipole Oscillation

Indian Institute of Space Science and Technology (IIST)（印度空间科学和技术学院）

Shouvik Sadhukhan, C. S. Narayanamurthy

备注：: 24 pages, 8 figures

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AI总结：

本文通过广义洛伦兹偶极子振荡模型研究PMMA棒在湍流中的光传播，揭示同步偶极子振荡可部分补偿湍流引起的波前畸变，并通过实验验证了偶极子耦合对闪烁的抑制作用。

摘要：

我们研究了大气湍流条件下光场在聚甲基丙烯酸甲酯（PMMA）棒中的传播，采用了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模型。该理论框架包含二阶和三阶非谐项（$β_i|r_i|r_i$ 和 $α_i|r_i|^2r_i$），以及由并矢格林函数介导的局域偶极子之间的耦合。由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，揭示了一种有效惯性机制，该机制抵抗快速的场重新分布。模态对角化表明，同步的偶极子振荡可以补偿湍流引起的波前畸变，其中扰动力 $δF_{\ ext{Pert}}(t) = F'_{\ ext{Inertia}} - F_{\ ext{Inertia}}$ 决定了补偿效果。实验验证采用伪随机相位板（PRPP）产生柯尔莫哥洛夫谱湍流，在四种配置下记录了200帧：基线、仅湍流、以及含一根或两根PMMA棒的湍流条件。统计分析量化了闪烁指数变化。结果表明，偶极子-偶极子耦合能量跃迁能够实现部分湍流补偿，且对于更长的传播路径，由于同步性增强，观察到更强的抑制效果。

英文摘要：

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 ($β_i|r_i|r_i$ and $α_i|r_i|^2r_i$) 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 $δF_{\text{Pert}}(t) = F'_{\text{Inertia}} - F_{\text{Inertia}}$ 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.

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