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29 March 2024
 
  » arxiv » astro-ph/0205489

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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
AffiliationHoward U.), Lisa P. Carlivati (Harvard U.), Joshua N. Winn (Harvard-Smithsonian CFA), Paul L. Schechter (MIT
AbstractWe 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
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