基于混合优化的非相干散射雷达热层中性温度与氧原子密度反演方法

      Inversion Method for Thermospheric Neutral Temperature and Atomic Oxygen Density of Incoherent Scatter Radar Based on Hybrid Optimization

      • 摘要: 热层中性温度与氧原子密度是探究热层-电离层耦合及低轨航天器轨道演化的关键参数。传统基于非相干散射雷达(incoherent scatter radar, ISR)的能量平衡反演方法,依赖经验模型提供边界与形态参数,且最小二乘拟合后难以得到全局最优解。针对上述局限性,本文提出了一种基于粒子群-序列二次规划(particle swarm optimization-sequential quadratic programming, PSO-SQP)混合优化算法的热层参数反演新方法。该方法基于离子能量平衡方程,通过引入Pseudo-Huber鲁棒损失函数与动态高度筛选机制,实现了对热层动态高度内中性温度和氧原子密度的反演。基于Arecibo ISR和曲靖ISR观测数据的反演结果表明,该混合算法实现了热层核心参数的独立求解,摆脱了对经验模型参数的依赖。物理闭环验证显示,重构的离子温度与雷达实测值高度自洽(r = 0.9380);同时,蒙特卡洛误差分析进一步证明了该方法在高斯观测噪声扰动下具有较强鲁棒性。本研究数据结果可用于热层大气基础研究与低轨航天器轨道模型建立,具有重要科学意义与应用价值。

         

        Abstract: Thermospheric neutral temperature and atomic oxygen density are key parameters for investigating thermosphere–ionosphere coupling and the orbital evolution of low-Earth-orbit spacecraft. Traditional energy-balance inversion methods based on incoherent scatter radar (ISR) rely on empirical models to provide boundary and shape parameters, and it is difficult to obtain the global optimum after least-squares fitting. To address these limitations, this study proposes a new thermospheric parameter inversion method based on a particle swarm optimization–sequential quadratic programming (PSO-SQP) hybrid optimization algorithm. Based on the ion energy balance equation, the proposed method introduces a Pseudo-Huber robust loss function and a dynamic height-screening mechanism, enabling the inversion of neutral temperature and atomic oxygen density within the effective dynamic height range of the thermosphere. Inversion results using observations from the Arecibo and Qujing incoherent scatter radars show that the hybrid algorithm enables independent retrieval of key thermospheric parameters and eliminates the dependence on empirical model parameters. Physical closed-loop validation indicates that the reconstructed ion temperature is highly self-consistent with radar measurements, with a correlation coefficient of r = 0.9380. In addition, Monte Carlo error analysis further demonstrates the strong robustness of the proposed method under Gaussian observational noise. The results of this study can support fundamental research on the thermospheric atmosphere and the development of orbital models for low-Earth-orbit spacecraft, indicating important scientific significance and practical value.

         

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