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A Bayesian analysis of regularized source inversions in gravitational lensing

Suyu, S. H. and Marshall, P. J. and Hobson, M. P. and Blandford, R. D. (2006) A Bayesian analysis of regularized source inversions in gravitational lensing. Monthly Notices of the Royal Astronomical Society, 371 (2). pp. 983-998. ISSN 0035-8711. doi:10.1111/j.1365-2966.2006.10733.x.

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Strong gravitational lens systems with extended sources are of special interest because they provide additional constraints on the models of the lens systems. To use a gravitational lens system for measuring the Hubble constant, one would need to determine the lens potential and the source intensity distribution simultaneously. A linear inversion method to reconstruct a pixellated source brightness distribution of a given lens potential model was introduced by Warren & Dye. In the inversion process, regularization on the source intensity is often needed to ensure a successful inversion with a faithful resulting source. In this paper, we use Bayesian analysis to determine the optimal regularization constant (strength of regularization) of a given form of regularization and to objectively choose the optimal form of regularization given a selection of regularizations. We consider and compare quantitatively three different forms of regularization previously described in the literature for source inversions in gravitational lensing: zeroth-order, gradient and curvature. We use simulated data with the exact lens potential to demonstrate the method. We find that the preferred form of regularization depends on the nature of the source distribution.

Item Type:Article
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Blandford, R. D.0000-0002-1854-5506
Additional Information:Journal compilation © 2006 RAS, MNRAS. No claim to original US government works. Accepted 2006 June 24. Received 2006 May 16; in original form 2006 January 21. We thank D. MacKay and S. Warren for useful discussions and encouragement, and the referee L. Koopmans for both his guidance on the methodology and his very constructive comments that greatly improved the presentation of this work. This work was supported by the NSF under award AST05-07732 and in part by the US Department of Energy under contract number DE-AC02-76SF00515. SHS acknowledges the support of the NSERC (Canada) through the Postgraduate Scholarship.
Funding AgencyGrant Number
US Department of EnergyDE-AC02-76SF00515
Natural Sciences and Engineering Research Council of Canada (NSERC) Postgraduate ScholarshipUNSPECIFIED
Subject Keywords:gravitational lensing; methods : data analysis
Issue or Number:2
Record Number:CaltechAUTHORS:20100319-100343370
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17779
Deposited By: Tony Diaz
Deposited On:22 Mar 2010 03:31
Last Modified:08 Nov 2021 23:38

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