Semilinear Gravitational Lens Inversion | Zendy

S. J. Warren | Zendy; S. Dye | Zendy

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Semilinear Gravitational Lens Inversion

Author(s) -

S. J. Warren,

S. Dye

Publication year - 2003

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/375132

Subject(s) - inversion (geology) , mass distribution , einstein ring , regularization (linguistics) , gravitational lens , inverse problem , gravitation , physics , lens (geology) , nonlinear system , distribution (mathematics) , optics , inverse transform sampling , algorithm , mathematical analysis , mathematics , computer science , geology , artificial intelligence , classical mechanics , astrophysics , galaxy , paleontology , redshift , structural basin , quantum mechanics , surface wave

We describe a new method for analyzing gravitational lens images, for thecase where the source light distribution is pixelized. The method is suitablefor high resolution, high S/N data of a multiply-imaged extended source. For agiven mass distribution, we show that the step of inverting the image to obtainthe deconvolved pixelized source light distribution, and the uncertainties, isa linear one. This means that the only parameters of the non-linear problem arethose required to model the mass distribution. This greatly simplifies thesearch for a min.-chi^2 fit to the data and speeds up the inversion. The methodis extended in a straightforward way to include linear regularization. We applythe method to simulated Einstein ring images and demonstrate the effectivenessof the inversion for both the unregularized and regularized cases.Comment: to appear in Ap

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