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arXiv 1106.6045astro-ph.CO
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量化星系形状:Sersiclets及以后

Quantifying galaxy shapes: Sersiclets and beyond

Rene Andrae, Peter Melchior, Knud Jahnke

摘要:

参数化星系形态是一项具有挑战性的任务,例如,在弱透镜的剪切测量或星系演化的研究中。形态的巨大变化需要高度灵活的方法,例如,考虑到方位角结构。我们重温的方法,星系形态被分解成基函数的基础上的Sersic配置文件。这种方法是合理的事实,Sersic的轮廓是一阶泰勒展开的任何真正的光分布。我们表明,sersiclets克服了造型失败的shapelets。然而,sersiclets暗示了光剖面的陡度和方位角结构的空间尺度之间的非物理关系,这不符合真实的星系形态,因此可能导致建模失败。此外,我们表明,sersiclet是容易采样不足,这限制了sersiclet建模高分辨率的星系图像。通过分析Great08挑战赛的数据,我们证明了sersiclets不应该用于弱透镜研究。我们的结论是,虽然sersiclet的方法似乎非常有前途的第一眼看,它遭受的概念和实际问题,严重限制了它的实用性。泰勒展开中的高阶项可以增强Sersic轮廓,这可以大大改善星系图像的模型重建。如果orthonormalised,这些高阶配置文件可以克服的问题,同时保持其数学理由的sersiclets。

英文摘要:

Parametrising galaxy morphologies is a challenging task, e.g., in shear measurements of weak lensing or investigations of galaxy evolution. The huge variety of morphologies requires an approach that is highly flexible, e.g., accounting for azimuthal structure. We revisit the method of sersiclets, where galaxy morphologies are decomposed into basis functions based on the Sersic profile. This approach is justified by the fact that the Sersic profile is the first-order Taylor expansion of any real light profile. We show that sersiclets overcome the modelling failures of shapelets. However, sersiclets implicate an unphysical relation between the steepness of the light profile and the spatial scale of azimuthal structures, which is not obeyed by real galaxy morphologies and can therefore give rise to modelling failures. Moreover, we demonstrate that sersiclets are prone to undersampling, which restricts sersiclet modelling to highly resolved galaxy images. Analysing data from the Great08 challenge, we demonstrate that sersiclets should not be used in weak-lensing studies. We conclude that although the sersiclet approach appears very promising at first glance, it suffers from conceptual and practical problems that severly limit its usefulness. The Sersic profile can be enhanced by higher-order terms in the Taylor expansion, which can drastically improve model reconstructions of galaxy images. If orthonormalised, these higher-order profiles can overcome the problems of sersiclets while preserving their mathematical justification.

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