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Article: An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses

TitleAn analytical approach to gravitational lensing by an ensemble of axisymmetric lenses
Authors
KeywordsGravitational Lenses
Issue Date1990
PublisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/2041-8205
Citation
Astrophysical Journal Letters, 1990, v. 357 n. 1, p. 23-31 How to Cite?
AbstractWe consider the problem of gravitational lensing by an ensemble of identical axisymmetric lenses randomly distributed on a single lens plane and derive a formal expression for the joint probability density of finding shear (γ1, γ2) and convergence κ at a random point on the plane. The amplification probability for a source can be accurately estimated from the distribution in shear and convergence. We apply this method to two cases: lensing by an ensemble of point masses and by an ensemble of objects with Gaussian surface mass density. There is no convergence for point masses whereas shear is negligible for wide Gaussian lenses. We find excellent agreement with results from recent Monte Carlo simulations with σav = 0.2.
Persistent Identifierhttp://hdl.handle.net/10722/151138
ISSN
2015 Impact Factor: 5.487
2015 SCImago Journal Rankings: 3.369

 

DC FieldValueLanguage
dc.contributor.authorLee, MHen_US
dc.contributor.authorSpergel, DNen_US
dc.date.accessioned2012-06-26T06:17:34Z-
dc.date.available2012-06-26T06:17:34Z-
dc.date.issued1990en_US
dc.identifier.citationAstrophysical Journal Letters, 1990, v. 357 n. 1, p. 23-31en_US
dc.identifier.issn2041-8205en_US
dc.identifier.urihttp://hdl.handle.net/10722/151138-
dc.description.abstractWe consider the problem of gravitational lensing by an ensemble of identical axisymmetric lenses randomly distributed on a single lens plane and derive a formal expression for the joint probability density of finding shear (γ1, γ2) and convergence κ at a random point on the plane. The amplification probability for a source can be accurately estimated from the distribution in shear and convergence. We apply this method to two cases: lensing by an ensemble of point masses and by an ensemble of objects with Gaussian surface mass density. There is no convergence for point masses whereas shear is negligible for wide Gaussian lenses. We find excellent agreement with results from recent Monte Carlo simulations with σav = 0.2.en_US
dc.languageengen_US
dc.publisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/2041-8205en_US
dc.relation.ispartofAstrophysical Journal Lettersen_US
dc.subjectGravitational Lensesen_US
dc.titleAn analytical approach to gravitational lensing by an ensemble of axisymmetric lensesen_US
dc.typeArticleen_US
dc.identifier.emailLee, MH:mhlee@hku.hken_US
dc.identifier.authorityLee, MH=rp00724en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-1442349237en_US
dc.identifier.volume357en_US
dc.identifier.issue1en_US
dc.identifier.spage23en_US
dc.identifier.epage31en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLee, MH=7409119699en_US
dc.identifier.scopusauthoridSpergel, DN=7007108870en_US

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