Conventional Scintillation Statistics with Turbulence Impacted Coupled Dipole Oscillation

TL;DR

This study models and experimentally verifies how coupled dipole oscillations in PMMA rods can mitigate optical wavefront distortions caused by atmospheric turbulence, revealing a new mechanism for turbulence compensation.

Contribution

It introduces a generalized Lorentz dipole oscillator model with nonlinear and coupling effects to analyze turbulence impact and demonstrates partial compensation through synchronized dipole oscillations.

Findings

Dipole coupling energy transitions enable turbulence mitigation.

Synchronization improves wavefront stability over longer paths.

Experimental results show partial turbulence suppression with increased dipole coupling.

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.