  We calculate the response of an ideal Michelson interferometer incorporating
both dual recycling and squeezed light to gravitational waves. The photon
counting noise has contributions from the light which is sent in through the
input ports as well as the vacuum modes at sideband frequencies generated by
the gravitational waves. The minimum detectable gravity wave amplitude depends
on the frequency of the wave as well as the squeezing and recycling parameters.
Both squeezing and the broadband operation of dual recycling reduce the photon
counting noise and hence the two techniques can be used together to make more
accurate phase measurements. The variance of photon number is found to be
time-dependent, oscillating at the gravity wave frequency but of much lower
order than the constant part.
