论文标题
用爱因斯坦环形卷积解决外部体系
Resolving Exo-Continents with Einstein Ring Deconvolution
论文作者
论文摘要
太阳引力镜头的焦点的任务可以产生前所未有的角度分辨率和灵敏度的图像。在试图解决其他类似地球的系外行星上大陆的时间变量热特征的背景下，我们通过使用爱因斯坦环的强度中的方位角变化来开发一种改善图像重建性能的方法。在牛顿后的第一个近似值中，源平面中的任意磁盘强度分布被映射到爱因斯坦环周围的狭窄环，每个方位元元素都与磁盘中的一个扇区相对应。基于矩阵的线性测量模型以各种固定的信噪比比率表明，当对图像稀疏采样时，此额外信息可用于改善重建，这可以改善集成时间和时间误差。讨论了各种问题和未来的前景。
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.
