Mathematics – Logic
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phdt........23c&link_type=abstract
Thesis (PhD). UNIVERSITY OF PITTSBURGH, Source DAI-B 61/01, p. 311, Jul 2000, 137 pages.
Mathematics
Logic
1
Cosmology, Quasars
Scientific paper
This dissertation is an investigation of gravitational lens models and detailed analyses of the lensing properties of three astrophysically interesting multiply- imaged quasi-stellar objects (QSOs) Q2237+0305, Q0957+561, and H1413+1143. A general-form power-law elliptical mass distribution is considered as a model for a lensing object, and a Fourier series expansion technique is applied to obtain semi-analytical expressions for the deflection and magnification due to the general power-law mass model. Investigating more sophisticated lens models permitted by most recent and comprehensive sets of data, the following astrophysical/cosmological results are derived. For Q2237+0305, lensing properties of the elliptical mass model with varying radial index are calculated, and similarities and quantitative differences between the elliptical lens model and a pseudo-elliptical lens model (a power-law sphere plus shear) are highlighted. For Q0957+561, the elliptical mass model and a power-law sphere are used to model the lensing galaxy and cluster respectively, as motivated by recent Hubble Space Telescope (HST) imaging of the galaxy and weak lensing observations of the cluster. The lens model for Q0957+561 gives a best-fit to present observational constraints and yields a Hubble constant of H0=57+19- 16 (95% confidence) km s-1 Mpc-1. For H1413+1143, recent data from HST WFPC1,2, NICMOS, and FOS are used to explore possible lens models. Analyses of two-component lens models (namely, two-galaxy and galaxy+cluster) indicate that at least the continuum source region is microlensed. The broad emission line region could also be microlensed. However, information from present observations are not sufficient to draw any conclusions on the lensing nature of the broad emission line region or its size scale.
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