椭圆NFW透镜模型受扰Einstein环的解析解
Analytic approach to perturbed Einstein ring with elliptical NFW lens model
摘要：
本文研究了Alard在微扰方法的基础上推广的描述强引力透镜的近似方法的有效性。采用椭圆Navarro-Frenk-White（NFW）透镜模型，我们演示了近似方法是如何工作的，重点是图像的形状，放大率，焦散线和临界线。近似方法的简单性使我们能够以解析的方式研究透镜现象。本文导出了爱因斯坦环附近透镜系统的简单近似公式。
英文摘要：
We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical Navarro-Frenk-White (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterise a lens system near the Einstein ring.
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