用Einstein环反褶积法解算外大陆
Resolving Exo-Continents with Einstein Ring Deconvolution
摘要：
对太阳引力透镜焦点的飞行任务可以产生具有前所未有的角分辨率和灵敏度的图像。在试图解决其他类地系外行星上大陆的时变热特征的背景下，我们开发了一种方法，通过使用爱因斯坦环强度的方位角变化来提高图像重建性能。在广义相对论的第一个后牛顿近似中，源平面中的任意圆盘强度分布被映射到爱因斯坦环周围的窄环，每个方位角元素对应于圆盘中的扇区。在各种固定的信噪比下的基于矩阵的线性测量模型表明，当图像被稀疏采样时，这种额外的信息在改善重建方面是有用的，这可以改善积分时间和时间误差。讨论了各种问题和未来展望。
英文摘要：
A mission to the focus of the solar gravitational lens could produce images with unprecedented angular resolution and sensitivity. In the context of trying to resolve the time variable thermal signature of continents on other Earth-like exoplanets, we develop an approach to improve the image reconstruction performance by using azimuthal variations in the Einstein Ring's intensity. In the first post-Newtonian approximation to General Relativity, an arbitrary disk intensity distribution in the source plane is mapped to a narrow annulus around the Einstein Ring, with each azimuthal element corresponding to a sector in the disk. A matrix-based linear measurement model at various fixed signal-to-noise ratios demonstrates that this extra information is useful in improving the reconstruction when the image is sparsely sampled, which could improve integration times and temporal errors. Various issues and future outlooks are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
