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题名: Cusp summations and cusp relations of simple quad lenses
作者: Chu, Zhe1; Li, G. L.1; Lin, W. P.2, 3
刊名: MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
出版日期: 2015-05-11
卷号: 449, 期号:2, 页码:2079-2086
关键词: gravitational lensing: strong ; methods: analytical
学科分类: 天文和天体物理
DOI: 10.1093/mnras/stv277
文章类型: Article
英文摘要: We review five often used quad lens models, each of which has analytical solutions and can produce four images at most. Each lens model has two parameters, including one that describes the intensity of non-dimensional mass density, and the other one that describes the deviation from the circular lens. In our recent work, we have found that the cusp and the fold summations are not equal to 0, when a point source infinitely approaches a cusp or a fold from inner side of the caustic. Based on the magnification invariant theory, which states that the sum of signed magnifications of the total images of a given source is a constant, we calculate the cusp summations for the five lens models. We find that the cusp summations are always larger than 0 for source on the major cusps, while can be larger or smaller than 0 for source on the minor cusps. We also find that if these lenses tend to the circular lens, the major and minor cusp summations will have infinite values, and with positive and negative signs, respectively. The cusp summations do not change significantly if the sources are slightly deviated from the cusps. In addition, through the magnification invariants, we also derive the analytical signed cusp relations on the axes for three lens models. We find that both on the major and the minor axes the larger the lenses deviated from the circular lens, the larger the signed cusp relations. The major cusp relations are usually larger than the absolute minor cusp relations, but for some lens models with very large deviation from circular lens, the minor cusp relations can be larger than the major cusp relations.
WOS标题词: Science & Technology ; Physical Sciences
类目[WOS]: Astronomy & Astrophysics
研究领域[WOS]: Astronomy & Astrophysics
关键词[WOS]: QUADRUPOLE GRAVITATIONAL LENS ; DARK-MATTER SUBSTRUCTURES ; ANOMALOUS FLUX RATIOS ; SMALL-SCALE STRUCTURE ; MAGNIFICATION RELATIONS ; IDENTIFYING LENSES ; RX J0911.4+0551 ; GALAXIES ; MODELS ; IMAGES
收录类别: SCI
所属项目名称: PMO_LIB-IR
语种: 英语
WOS记录号: WOS:000355337500074
Citation statistics:
内容类型: 期刊论文
URI标识: http://libir.pmo.ac.cn/handle/332002/14800
Appears in Collections:暗物质和空间天文实验室_期刊论文

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作者单位: 1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China
2.Sun Yat Sen Univ, Sch Astron & Space Sci, Guangzhou 510275, Guangdong, Peoples R China
3.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
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