用微扰法分离引力透镜的内外贡献
Separating inner and outer contributions in gravitational lenses using the perturbative method
摘要：
本文提出了一种使用Alard 2007，MNRAS Letters，382，58和Alard，C.中提出的奇异摄动方法重建引力透镜SL 2S 02176 -0513，2008，MNRAS，388，375。用SL 2S 02176 -0513检验了微扰法分离引力透镜内、外势贡献的能力。在这个透镜中，中央星系的引力场由附近的星系群主导，这些星系群位于几个临界半径的距离处。利用局部多项式重构微扰泛函。多项式插值使用傅立叶级数平滑，并使用非线性最小化程序数值拟合HST数据。由微扰场的重构导出了临界圆内外的势。内、外势线差别很大，内势线与中心星系一致，而外势线则完全与星系群引入的扰动一致。微扰方法分离内部和外部贡献的能力被证实，并表明，在微扰方法的中心偏转器的字段可以从外部扰动分离。内外贡献的分离对于研究暗物质晕的形状以及对暗物质亚结构效应的统计分析具有重要意义。
英文摘要：
This paper presents a reconstruction of the gravitational lens SL2S02176-0513 using the singular perturbative method presented in Alard 2007, MNRAS Letters, 382, 58 and Alard, C., 2008, MNRAS, 388, 375. The ability of the perturbative method to separate the inner and outer contributions of the potential in gravitational lenses is tested using SL2S02176-0513. In this lens, the gravitational field of the central galaxy is dominated by a nearby group of galaxies located at a distance of a few critical radius. The perturbative functionals are re-constructed using local polynomials. The polynomial interpolation is smoothed using Fourier series, and numerically fitted to HST data using a non-linear minimization procedure. The potential inside and outside the critical circle is derived from the reconstruction of the perturbative fields. The inner and outer potential contours are very different.The inner contours are consistent with the central galaxy, while the outer contours are fully consistent with the perturbation introduced by the group of galaxies. The ability of the perturbative method to separate the inner and outer contribution is confirmed, and indicates that in the perturbative approach the field of the central deflector can be separated from outer perturbations. The separation of the inner and outer contribution is especially important for the study of the shape of dark matter halo's as well as for the statistical analysis of the effect of dark matter substructures.
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