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Cusp summations and cusp relations of simple quad lenses
Chu, Zhe1; Li, G. L.1; Lin, W. P.2,3
2015-05-11
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume449Issue:2Pages:2079-2086
AbstractWe 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.
KeywordGravitational Lensing: Strong Methods: Analytical
Subject Area天文和天体物理
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1093/mnras/stv277
WOS KeywordQUADRUPOLE GRAVITATIONAL LENS ; DARK-MATTER SUBSTRUCTURES ; ANOMALOUS FLUX RATIOS ; SMALL-SCALE STRUCTURE ; MAGNIFICATION RELATIONS ; IDENTIFYING LENSES ; RX J0911.4+0551 ; GALAXIES ; MODELS ; IMAGES
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000355337500074
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/14800
Collection暗物质和空间天文实验室
Affiliation1.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
Recommended Citation
GB/T 7714
Chu, Zhe,Li, G. L.,Lin, W. P.. Cusp summations and cusp relations of simple quad lenses[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2015,449(2):2079-2086.
APA Chu, Zhe,Li, G. L.,&Lin, W. P..(2015).Cusp summations and cusp relations of simple quad lenses.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,449(2),2079-2086.
MLA Chu, Zhe,et al."Cusp summations and cusp relations of simple quad lenses".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 449.2(2015):2079-2086.
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