论文标题
太阳重力镜头的波浪光学元件
Wave optics of the solar gravity lens
论文作者
论文摘要
众所周知,太阳引力场可以被视为望远镜,在550 au以上的位置的主要焦点。在这项工作中,我们通过适应引力透镜的到达时间形式主义来提出系统的波流特性的新推导。在衍射极限下,角度分辨率与具有太阳直径的概念望远镜的分辨率相似,最大的光放大为$8π4gm /(C^2λ)$,足以检测到Proxima Centauri B上的1 W激光,该centauri B指向了太阳的一般方向。然而,扩展的来源将被点扩散函数的翅膀变模到引力透镜的几何镜面状态。宽带的消息来源将不得不进一步与太阳能电晕抗衡。在文献中提倡的不尝试达到衍射极限的外部表面似乎可以实现。对于衍射受限的成像(来自100个PC的亚km尺度),附近的中子恒星似乎是最合理的目标。
It is well known that the solar gravitational field can be considered as a telescope with a prime focus at locations beyond 550 au. In this work we present a new derivation of the wave-optical properties of the system, by adapting the arrival-time formalism from gravitational lensing. At the diffraction limit the angular resolution is similar to that of a notional telescope with the diameter of the Sun, and the maximum light amplification is $8π4GM /(c^2λ)$, enough to detect a 1 W laser on Proxima Centauri b pointed in the general direction of the Sun. Extended sources, however, would be blurred by the wings of the point spread function into the geometrical-optics regime of gravitational lensing. Broad-band sources would have to further contend with the solar corona. Imaging an exoplanet surface as advocated in the literature, without attempting to reach the diffraction limit, appears achievable. For diffraction-limited imaging (sub-km scales from 100 pc) nearby neutron stars appear to be most plausible targets.