Weak Lensing by Minifilament or Minivoid as the Origin of Flux-ratio
  Anomalies in Lensed Quasar MG0414+0534
  We explore the weak lensing effects by ministructures in the line-of-sight in
a quadruply lensed quasar MG0414+0534 that shows an anomaly in the flux-ratios.
We find that the observed flux-ratio anomaly can be explained by a presence of
either a minifilament or a minivoid in the line-of-sight with a surface mass
density of the order of 10^(8-9) h^(-1) solar mass /arcsec^2 without taking
into account any subhalos in the lensing galaxy. The astrometric perturbation
by a possible minifilament/minivoid is <~ 0.001 arcsec and the amplitudes of
convergence perturbations due to these perturbers are ~ 0.004-0.008 at the
place of an image that shows anomaly. In order to discriminate models with the
line-of-sight ministructures from those with a subhalo(s) in the lensing
galaxy, we need to precisely measure the projected convergence and shear around
the lensing galaxy. The differential magnification effect could break the model
degeneracy if the source size is > ~100 pc. Observation at the submillimeter
band using interferometers will enable us to determine the origin of anomalies
in the flux ratios.
