Many interferometer designs exist to measure the distance change through a
fringe displacement. Different interferometers were used to measure the mov
ement of the backside of a heated foil in laser plasma interactions. Howeve
r, when a laser heated target sits in the middle of a target chamber with n
oise from pumps and other sources of vibrations, the fringes become difficu
lt to observe and align. We have built a differential interferometer where
the light paths in each arm of the interferometer retrace each other, hence
making the fringes much less sensitive to vibrations than a regular interf
erometer. This allows the main part of the interferometer to sit outside th
e vacuum chamber, where it is easy to align. The final focusing element res
ides close to the target and collects a significant amount of the scattered
light. In this investigation we will use the interferometer to measure the
expansion of the backside of a preheated target in the TRIDENT chamber. Us
ing the coefficient of linear expansion, the heat capacity of the material,
and the expansion distance, we estimate a time dependent preheat temperatu
re of the target. [S0034-6748(99)74801-X].