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Analytic expressions for mean magnification by a quadrupole gravitational lens | Tehani K. Finch
; Lisa P. Carlivati
; Joshua N. Winn
; Paul L. Schechter
; | Date: |
28 May 2002 | Journal: | Astrophys.J. 577 (2002) 51-56 | Subject: | astro-ph | Affiliation: | Howard U.), Lisa P. Carlivati (Harvard U.), Joshua N. Winn (Harvard-Smithsonian CFA), Paul L. Schechter (MIT | Abstract: | We derive an analytic expression for the mean magnification due to strong gravitational lensing, using a simple lens model, a singular isothermal sphere embedded in an external shear field. We compute separate expressions for 2-image and 4-image lensing. For 4-image lensing, the mean magnification takes a particularly simple form: _4 = 3.6/(gamma*(1-gamma^2)), where gamma is the external shear. We compare our analytic results to a numerical evaluation of the full magnification distribution. The results can be used to understand the magnification bias that favors the discovery of four-image systems over two-image systems in flux-limited lens surveys. | Source: | arXiv, astro-ph/0205489 | Services: | Forum | Review | PDF | Favorites |
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