{ "id": "2105.08690", "version": "v2", "published": "2021-05-18T17:21:15.000Z", "updated": "2021-08-29T16:10:04.000Z", "title": "\"Worst-Case\" Micro-Lensing in the Identification and Modeling of Lensed Quasars", "authors": [ "Luke Weisenbach", "Paul Schechter", "Sahil Pontula" ], "comment": "12 pages, 4 figures. As accepted for publication in ApJ", "categories": [ "astro-ph.GA" ], "abstract": "Although micro-lensing of macro-lensed quasars and supernovae provides unique opportunities for several kinds of investigations, it can add unwanted and sometimes substantial noise. While micro-lensing flux anomalies may be safely ignored for some observations, they severely limit others. \"Worst-case\" estimates can inform the decision whether or not to undertake an extensive examination of micro-lensing scenarios. Here, we report \"worst-case\" micro-lensing uncertainties for point sources lensed by singular isothermal potentials, parameterized by a convergence equal to the shear and by the stellar fraction. The results can be straightforwardly applied to non-isothermal potentials utilizing the mass sheet degeneracy. We use micro-lensing maps to compute fluctuations in image micro-magnifications and estimate the stellar fraction at which the fluctuations are greatest for a given convergence. We find that the worst-case fluctuations happen at a stellar fraction $\\kappa_\\star=\\frac{1}{|\\mu_{macro}|}$. For macro-minima, fluctuations in both magnification and demagnification appear to be bounded ($1.5>\\Delta m>-1.3$, where $\\Delta m$ is magnitude relative to the average macro-magnification). Magnifications for macro-saddles are bounded as well ($\\Delta m > -1.7$). In contrast, demagnifications for macro-saddles appear to have unbounded fluctuations as $1/\\mu_{macro}\\rightarrow0$ and $\\kappa_\\star\\rightarrow0$.", "revisions": [ { "version": "v2", "updated": "2021-08-29T16:10:04.000Z" } ], "analyses": { "keywords": [ "lensed quasars", "stellar fraction", "identification", "singular isothermal potentials", "worst-case fluctuations happen" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }