Propagation of light in a clumpy universe is examined. As an inhomogeneous
matter distribution, we take a spherical void surrounded by a dust. shell,
where the "lost mass" in the void is compensated by the shell. We study how
the angular-diameter distance behaves when such a structure exists. The an
gular-diameter distance is calculated by integrating the Raychaudhuri equat
ion including the shear. An explicit expression for the junction condition
for the massive thin shell is calculated. We apply these results to a dust
shell embedded in a Friedmann universe and determine how the distance-redsh
ift relation is modified compared with that in the purely Friedmann univers
e. We also study the distribution of distances in a universe filled with vo
ids. We show that the void-filled universe gives a larger distance than the
FRW universe by similar to 5% at z similar to 1 if the size of the void is
similar to 5% of the Horizon radius.