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Time-Varying Kelvin Wake Model and Microwave Velocity Observation

机译：时变开尔文唤醒模型和微波速度观测

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摘要

In the synthetic aperture radar (SAR) imaging of ship-induced wakes, it is difficult to obtain the Doppler velocity of a Kelvin wake due to the lack of time-varying wake models and suitable radar equipment. The conventional Kelvin wake investigation based on the static Kelvin wake model failed to reflect time-varying characteristics, which are significant in the application of the Kelvin wake model. Therefore, a time-varying Kelvin wake model with consideration of geometric time-varying characteristics and the hydrodynamic equation is proposed in this paper, which reflects the wake’s time-varying change lacking in the conventional Kelvin wake investigation. The Doppler velocity measurement, measured by a specially designed radar, can be exploited to verify the time-varying model by the comparison of velocity fields. Ground-based multi-input multi-output (MIMO) millimeter wave radar imaging through the simultaneous switching of transceiver channels was used to obtain the Doppler velocity for the first time. Finally, promising results have been achieved, which are in good agreement with our proposed model in consideration of the experimental scene. The proposed time-varying model and radar equipment provide velocity measurements for the Kelvin wake observation, which contains huge application potential.
机译：在船舶诱发的尾波的合成孔径雷达（SAR）成像中，由于缺少随时间变化的尾波模型和合适的雷达设备，因此难以获得开尔文尾波的多普勒速度。传统的基于静态开尔文尾流模型的开尔文尾流研究未能反映随时间变化的特征，这在开尔文尾流模型的应用中具有重要意义。因此，本文提出了一种考虑几何时变特性和流体动力学方程的时变开尔文尾流模型，该模型反映了常规开尔文尾流研究中缺少的尾随时变变化。由特殊设计的雷达测量的多普勒速度测量结果可用于通过比较速度场来验证时变模型。通过同时切换收发器通道的地面多输入多输出（MIMO）毫米波雷达成像首次获得多普勒速度。最后，取得了令人鼓舞的结果，考虑到实验场景，这与我们提出的模型非常吻合。提出的时变模型和雷达设备为开尔文唤醒观测提供了速度测量，具有巨大的应用潜力。

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