Geometrical optics provides an excellent description for quasar images
crossing caustics, which are formed by gravitational microlensing of
objects like Q2237+0305. Within this approximation the source size can
be estimated from the maximum magnification reached at caustic crossi
ngs. We evaluate the limitations imposed by diffraction on caustics us
ing the formalism developed by Ulmer & Goodman. Close to a caustic a n
ew characteristic length, smaller than the Fresnel length, enters the
problem, limiting the angular resolution to about 200 femto arcsecond,
or equivalently similar to 3 x 10(9) cm at the source. To achieve thi
s resolution the brightness must be monitored at time intervals of a f
ew seconds. If a significant fraction of quasar luminosity comes from
sources smaller than those limits then interference effects would make
the observed intensity oscillate, in a close analogy with a two-slit
experiment. The characteristic period of such oscillations is expected
to be about one-tenth of a minute. If such oscillations are detected,
then photometry carried out at a single site may permit the determina
tion of the caustic transverse velocity, and therefore may permit a di
rect conversion of the time units of brightness variations to the line
ar units at the source.