In this paper we show that information on both the differential and common
mode free-mass response to a gravitational wave can provide important infor
mation on discriminating the direction of the gravitational wave source and
between different theories of gravitation. The conventional Michelson inte
rferometer scheme only measures the differential free-mass response. By cha
nging the orientation of the beam splitter, it is possible to configure the
detector so it is sensitive to the common-mode of the free-mass motion. Th
e proposed interferometer is an adaptation of the Fox-Smith interferometer.
A major limitation to the new scheme is its enhanced sensitivity to laser
frequency fluctuations over the conventional, and we propose a method of ca
ncelling these fluctuations. The configuration could be used in parallel to
the conventional differential detection scheme with a significant sensitiv
ity and bandwidth. [S0556-2821(99)03308-1].