David Rusin

We present multifrequency VLBA observations of PMN J1632-0033, one of the few gravitationally lensed quasars suspected of having a central "odd" image. The central component has a different spectral index than the two bright quasar images. Therefore, either the central component is not a third image, and is instead the active nucleus of the lens galaxy, or else it is a third image whose spectrum is inverted by free-free absorption in the lens galaxy. In either case, we have more constraints on mass models than are usually available for a two-image lens, especially when combined with the observed orientations of the radio jets of the two bright quasars. If there is no third quasar image, the simplest permitted model is a singular isothermal sphere in an external shear field: β = 2.05 (2 σ), where ρ(r) ∝ r^-β. If the central component is a third image, a hypothesis that can be tested with future high-frequency observations, then the density distribution is only slightly shallower than isothermal: β = 1.91 ± 0.02 (2 σ). We also derive limits on the size of a constant-density core, and the break radius and exponent of an inner density cusp.

We present a generalization of the concept of magnification bias for gravitationally lensed quasars in which the quasars are selected by flux in more than one wavelength band. To illustrate the principle, we consider the case of two-band selection, in which the fluxes in the two bands are uncorrelated, perfectly correlated, or correlated with scatter. For uncorrelated fluxes, we show that the previously held result—that the bias is the product of the single-band biases—is generally false. We demonstrate some important properties of the multiband magnification bias using model luminosity functions inspired by observed correlations among X-ray, optical, infrared, and radio fluxes of quasars. In particular, the bias need not be an increasing function of each flux, and the bias can be extremely large for nonlinear correlations. The latter fact may account for the high lensing rates found in some X-ray/optical- and infrared/radio-selected samples.

We present multi-frequency VLBA observations of PMN J1632-0033, one of the few gravitationally lensed quasars suspected of having a central ``odd'' image. The central component has a different spectral index than the two bright quasar images. Therefore, either the central component is not a third image, and is instead the active nucleus of the lens galaxy, or else it is a third image whose spectrum is inverted by free-free absorption in the lens galaxy. In either case, we have more constraints on mass models than are usually available for a two-image lens, especially when combined with the observed orientations of the radio jets of the two bright quasars. If there is no third quasar image, the simplest permitted model is a singular isothermal sphere in an external shear field: beta=2.05^{+0.23}_{-0.10}, where rho(r) \propto r^{-beta}. If the central component is a third image, a hypothesis which can be tested with future high-frequency observations, then the density distribution is only slightly shallower than isothermal: beta=1.91 +/- 0.02. We also derive limits on the size of a constant-density core, and the break radius and exponent of an inner density cusp.

We present a generalization of the concept of magnification bias for gravitationally-lensed quasars, in which the quasars are selected by flux in more than one wavelength band. To illustrate the principle, we consider the case of two-band selection, in which the fluxes in the two bands are uncorrelated, perfectly correlated, or correlated with scatter. For uncorrelated fluxes, we show that the previously-held result - that the bias is the product of the single-band biases - is generally false. We demonstrate some important properties of the multi-band magnification bias using model luminosity functions inspired by observed correlations among X-ray, optical, infrared and radio fluxes of quasars. In particular, the bias need not be an increasing function of each flux, and the bias can be extremely large for non-linear correlations. The latter fact may account for the high lensing rates found in some X-ray/optical and infrared/radio selected samples.

The gravitational lens CLASS B1608+656 is the only four-image lens system for which all three independent time delays have been measured. This makes the system an excellent candidate for a high-quality determination of H_0 at cosmological distances. However, the original measurements of the time delays had large (12-20%) uncertainties, due to the low level of variability of the background source during the monitoring campaign. In this paper, we present results from two additional VLA monitoring campaigns. In contrast to the ~5% variations seen during the first season of monitoring, the source flux density changed by 25-30% in each of the subsequent two seasons. We analyzed the combined data set from all three seasons of monitoring to improve significantly the precision of the time delay measurements; the delays are consistent with those found in the original measurements, but the uncertainties have decreased by factors of two to three. We combined the delays with revised isothermal mass models to derive a measurement of H_0. Depending on the positions of the galaxy centroids, which vary by up to 0.1 arcsec in HST images obtained with different filters, we obtain H_0 = 61-65 km/s/Mpc, for (Omega_M,Omega_L) = (0.3,0.7). The value of H_0 decreases by 6% if (Omega_M,Omega_L) = (1.0,0.0). The formal uncertainties on H_0 due to the time delay measurements are +/- 1 (+/- 2) km/s/Mpc for the 1-sigma (2-sigma) confidence limits. Thus, the systematic uncertainties due to the lens model, which are on the order of +/- 15 km/s/Mpc, now dominate the error budget for this system. In order to improve the measurement of H_0 with this lens, new models that incorporate the constraints provided by stellar dynamics and the optical/infrared Einstein ring seen in HST images must be developed.