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Non-parametric strong lens inversion of Cl 0024+1654 : illustrating the monopole degeneracy

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Abstract
The cluster lens Cl 0024+1654 is undoubtedly one of the most beautiful examples of strong gravitational lensing, providing five large images of a single source with well-resolved substructure. Using the information contained in the positions and the shapes of the images, combined with the null space information, a non-parametric technique is used to infer the strong lensing mass map of the central region of this cluster. This yields a strong lensing mass of 1.60 x 10(14) M(circle dot) within a 0.5 arcmin radius around the cluster centre. This mass distribution is then used as a case study of the monopole degeneracy, which may be one of the most important degeneracies in gravitational lensing Studies and which is extremely hard to break. We illustrate the monopole degeneracy by adding circularly symmetric density distributions with zero total mass to the original mass map of Cl 0024+1654. These redistribute mass in certain areas of the mass map without affecting the observed images in any way. We show that the monopole degeneracy and the mass-sheet degeneracy together lie at the heart of the discrepancies between different gravitational lens reconstructions that can be found in the literature for a given object, and that many images/sources, with an overall high image density in the lens plane, are required to construct an accurate, high-resolution mass map based on strong lensing data.
Keywords
ARC, MAP, CL-0024+17, gravitational lensing, methods: data analysis, galaxies: clusters: individual: Cl 0024+1654, dark matter, MASS-DISTRIBUTION, GALAXIES, CLUSTER, RECONSTRUCTION

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MLA
Liesenborgs, Jori, Sven De Rijcke, Herwig Dejonghe, et al. “Non-parametric Strong Lens Inversion of Cl 0024+1654 : Illustrating the Monopole Degeneracy.” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 389.1 (2008): 415–422. Print.
APA
Liesenborgs, J., De Rijcke, S., Dejonghe, H., & Bekaert, P. (2008). Non-parametric strong lens inversion of Cl 0024+1654 : illustrating the monopole degeneracy. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 389(1), 415–422.
Chicago author-date
Liesenborgs, Jori, Sven De Rijcke, Herwig Dejonghe, and Philippe Bekaert. 2008. “Non-parametric Strong Lens Inversion of Cl 0024+1654 : Illustrating the Monopole Degeneracy.” Monthly Notices of the Royal Astronomical Society 389 (1): 415–422.
Chicago author-date (all authors)
Liesenborgs, Jori, Sven De Rijcke, Herwig Dejonghe, and Philippe Bekaert. 2008. “Non-parametric Strong Lens Inversion of Cl 0024+1654 : Illustrating the Monopole Degeneracy.” Monthly Notices of the Royal Astronomical Society 389 (1): 415–422.
Vancouver
1.
Liesenborgs J, De Rijcke S, Dejonghe H, Bekaert P. Non-parametric strong lens inversion of Cl 0024+1654 : illustrating the monopole degeneracy. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY. 2008;389(1):415–22.
IEEE
[1]
J. Liesenborgs, S. De Rijcke, H. Dejonghe, and P. Bekaert, “Non-parametric strong lens inversion of Cl 0024+1654 : illustrating the monopole degeneracy,” MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, vol. 389, no. 1, pp. 415–422, 2008.
@article{4375185,
  abstract     = {The cluster lens Cl 0024+1654 is undoubtedly one of the most beautiful examples of strong gravitational lensing, providing five large images of a single source with well-resolved substructure. Using the information contained in the positions and the shapes of the images, combined with the null space information, a non-parametric technique is used to infer the strong lensing mass map of the central region of this cluster. This yields a strong lensing mass of 1.60 x 10(14) M(circle dot) within a 0.5 arcmin radius around the cluster centre. This mass distribution is then used as a case study of the monopole degeneracy, which may be one of the most important degeneracies in gravitational lensing Studies and which is extremely hard to break. We illustrate the monopole degeneracy by adding circularly symmetric density distributions with zero total mass to the original mass map of Cl 0024+1654. These redistribute mass in certain areas of the mass map without affecting the observed images in any way. We show that the monopole degeneracy and the mass-sheet degeneracy together lie at the heart of the discrepancies between different gravitational lens reconstructions that can be found in the literature for a given object, and that many images/sources, with an overall high image density in the lens plane, are required to construct an accurate, high-resolution mass map based on strong lensing data.},
  author       = {Liesenborgs, Jori and De Rijcke, Sven and Dejonghe, Herwig and Bekaert, Philippe},
  issn         = {0035-8711},
  journal      = {MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY},
  keywords     = {ARC,MAP,CL-0024+17,gravitational lensing,methods: data analysis,galaxies: clusters: individual: Cl 0024+1654,dark matter,MASS-DISTRIBUTION,GALAXIES,CLUSTER,RECONSTRUCTION},
  language     = {eng},
  number       = {1},
  pages        = {415--422},
  title        = {Non-parametric strong lens inversion of Cl 0024+1654 : illustrating the monopole degeneracy},
  url          = {http://dx.doi.org/10.1111/j.1365-2966.2008.13586.x},
  volume       = {389},
  year         = {2008},
}

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