傍轴近似下波束的长距离传播
Long distance propagation of wave beams in paraxial regime
AI总结：
本文在傍轴近似下研究强湍流大气中高频波束的长距离传播，证明波场可近似为闪烁指数为1的复高斯场，从而为散斑形成提供理论模型。
摘要：
本文研究高频波束在强湍流大气中的传播问题。利用波传播的傍轴模型，我们证明在长距离弱耦合区域中，波场可近似由一个闪烁指数为1的复高斯场描述。这为许多实际场景中观察到的散斑形成提供了一个模型。推导的主要步骤在于证明Itô-Schrödinger区域中的闭式矩方程在傍轴区域中仍然近似成立。证明的其余部分则是对[Bal, G. and Nair, A., arXiv:2402.17107.]中结果的推广。
英文摘要：
This paper concerns the propagation of high frequency wave-beams in highly turbulent atmospheres. Using a paraxial model of wave propagation, we show in the long-distance weak-coupling regime that the wavefields are approximately described by a complex Gaussian field whose scintillation index is unity. This provides a model of the speckle formation observed in many practical settings. The main step of the derivation consists in showing that closed-form moment equations in the Itô-Schrödinger regime are still approximately satisfied in the paraxial regime. The rest of the proof is then an extension of results derived in [Bal, G. and Nair, A., arXiv:2402.17107.]
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