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A genetic algorithm for the non-parametric inversion of strong lensing systems

机译:一种用于强透镜非参数反演的遗传算法   系统

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摘要

We present a non-parametric technique to infer the projected-massdistribution of a gravitational lens system with multiple strong-lensed images.The technique involves a dynamic grid in the lens plane on which the massdistribution of the lens is approximated by a sum of basis functions, one pergrid cell. We used the projected mass densities of Plummer spheres as basisfunctions. A genetic algorithm then determines the mass distribution of thelens by forcing images of a single source, projected back onto the sourceplane, to coincide as well as possible. Averaging several tens of solutionsremoves the random fluctuations that are introduced by the reproduction processof genomes in the genetic algorithm and highlights those features common to allsolutions. Given the positions of the images and the redshifts of the sourcesand the lens, we show that the mass of a gravitational lens can be retrievedwith an accuracy of a few percent and that, if the sources sufficiently coverthe caustics, the mass distribution of the gravitational lens can also bereliably retrieved. A major advantage of the algorithm is that it makes fulluse of the information contained in the radial images, unlike methods thatminimise the residuals of the lens equation, and is thus able to accuratelyreconstruct also the inner parts of the lens.
机译:我们提出了一种非参数技术来推断具有多个强透镜图像的重力透镜系统的投影质量分布,该技术涉及透镜平面中的动态网格,在该网格上,透镜的质量分布由基本函数之和近似,一个网格。我们将Plummer球的预计质量密度用作基函数。然后,遗传算法通过迫使投射回源平面的单个源图像尽可能重合来确定透镜的质量分布。平均数十种解决方案可以消除遗传算法中基因组的复制过程所引入的随机波动,并突出显示所有解决方案共有的特征。给定图像的位置以及源和透镜的红移,我们显示出引力透镜的质量可以以百分之几的精度进行检索,并且,如果源充分覆盖了焦散,则重力透镜的质量分布也可以可靠地检索到。该算法的主要优势在于,它与充分利用径向图像中包含的信息不同,这与最小化镜片方程式残差的方法不同,因此能够准确地重建镜片的内部。

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