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首页> 外文期刊>The Astrophysical journal >FAST AND ACCURATE FOURIER SERIES SOLUTIONS TO GRAVITATIONAL LENSING BY A GENERAL FAMILY OF TWO-POWER-LAW MASS DISTRIBUTIONS
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FAST AND ACCURATE FOURIER SERIES SOLUTIONS TO GRAVITATIONAL LENSING BY A GENERAL FAMILY OF TWO-POWER-LAW MASS DISTRIBUTIONS

机译：一般两族法分布的重力透镜的快速精确傅里叶级数解

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摘要

Fourier series solutions to the deflection and magnification by a family of three-dimensional cusped two-power-law ellipsoidal mass distributions are presented. The cusped two-power-law ellipsoidal mass distributions are characterized by inner and outer power-law radial indices and a break (or transition) radius. The model family includes mass models mimicking Jaffe, Hernquist, and η models and dark matter halo profiles from numerical simulations. The Fourier series solutions for the cusped two-power-law mass distributions are relatively simple and allow a very fast calculation, even for a chosen small fractional calculational error (e.g., 10~(-5)). These results will be particularly useful for studying lensed systems that provide a number of accurate lensing constraints and for systematic analyses of large numbers of lenses. Subroutines employing these results for the two-power-law model and the results by Chae, Khersonsky, & Turnshek for the generalized single-power-law mass model are made publicly available.
机译：提出了通过一维三维尖峰二幂律椭圆形质量分布族对挠度和放大率的傅里叶级数解。尖峰的两个幂律椭圆形质量分布的特征在于内部和外部幂律径向指数和断裂（或过渡）半径。该模型族包括模仿Jaffe，Hernquist和η模型的质量模型，以及来自数值模拟的暗物质晕轮廓。尖峰二幂律质量分布的傅里叶级数解相对简单，即使选择较小的分数计算误差（例如10〜（-5）），也可以非常快速地进行计算。这些结果对于研究提供许多精确镜头限制的镜头系统以及对大量镜头进行系统分析特别有用。将这些结果用于二幂定律模型的子例程以及Chae，Khersonsky和Turnshek对于广义单幂定律质量模型的结果的子例程已公开可用。

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