2012ApJ...756...52M

We present four new seasons of optical monitoring data and six epochs of X-ray photometry for the doubly imaged lensed quasar Q J0158-4325. The high-amplitude, short-period microlensing variability for which this system is known has historically precluded a time delay measurement by conventional methods. We attempt to circumvent this limitation by the application of a Monte Carlo microlensing analysis technique, but we are only able to prove that the delay must have the expected sign (image A leads image B). Despite our failure to robustly measure the time delay, we successfully model the microlensing at optical and X-ray wavelengths to find a half-light radius for soft X-ray emission log (r_1/2, X, soft_/cm) = 14.3^+0.4_- 0.5_, an upper limit on the half-light radius for hard X-ray emission log (r_1/2, X, hard_/cm) ≤ 14.6, and a refined estimate of the inclination-corrected scale radius of the optical R-band (rest frame 3100 Å) continuum emission region of log (r_s/cm) = 15.6±0.3.