Gravitational lensing potential reconstruction in quadruply imaged systems
arXiv:astro-ph/0105411 · doi:10.1051/0004-6361:20011225
Abstract
We develop a semi - analytical method to reconstruct the lensing potential in quadruply imaged gravitational lens systems. Assuming that the potential belongs to a broad class of boxy non - elliptical models, we show how it is possible to write down a system of equations which can be numerically solved to recover the potential parameters directly from image positions and using physical constraints. We also describe a code developed to search for solutions of the system previously found and test it on simulated cases. Finally, we apply the method to the quadruple lens PG1115+080 which allows us to get also an estimate of the Hubble constant H_0 from the measured time delay as H_0 = 56_{-11}^{+17} km/s/Mpc.
10 pages, accepted for publication on Astronomy & Astrophysics. Some minor revisions and new results from the application of the method to PG1115+080
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