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Article: An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses
Title | An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses |
---|---|
Authors | |
Keywords | Gravitational Lenses |
Issue Date | 1990 |
Publisher | Institute 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? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/151138 |
ISSN | 2023 Impact Factor: 8.8 2023 SCImago Journal Rankings: 2.766 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lee, MH | en_US |
dc.contributor.author | Spergel, DN | en_US |
dc.date.accessioned | 2012-06-26T06:17:34Z | - |
dc.date.available | 2012-06-26T06:17:34Z | - |
dc.date.issued | 1990 | en_US |
dc.identifier.citation | Astrophysical Journal Letters, 1990, v. 357 n. 1, p. 23-31 | en_US |
dc.identifier.issn | 2041-8205 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/151138 | - |
dc.description.abstract | We 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.language | eng | en_US |
dc.publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://iopscience.iop.org/2041-8205 | en_US |
dc.relation.ispartof | Astrophysical Journal Letters | en_US |
dc.subject | Gravitational Lenses | en_US |
dc.title | An analytical approach to gravitational lensing by an ensemble of axisymmetric lenses | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lee, MH:mhlee@hku.hk | en_US |
dc.identifier.authority | Lee, MH=rp00724 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-1442349237 | en_US |
dc.identifier.volume | 357 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 23 | en_US |
dc.identifier.epage | 31 | en_US |
dc.identifier.isi | WOS:A1990DK40100005 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Lee, MH=7409119699 | en_US |
dc.identifier.scopusauthorid | Spergel, DN=7007108870 | en_US |
dc.identifier.issnl | 2041-8205 | - |