  We have performed a search for bursts of gravitational waves associated with
the very bright Gamma Ray Burst GRB030329, using the two detectors at the LIGO
Hanford Observatory. Our search covered the most sensitive frequency range of
the LIGO detectors (approximately 80-2048 Hz), and we specifically targeted
signals shorter than 150 ms. Our search algorithm looks for excess correlated
power between the two interferometers and thus makes minimal assumptions about
the gravitational waveform. We observed no candidates with gravitational wave
signal strength larger than a pre-determined threshold. We report frequency
dependent upper limits on the strength of the gravitational waves associated
with GRB030329. Near the most sensitive frequency region, around 250 Hz, our
root-sum-square (RSS) gravitational wave strain sensitivity for optimally
polarized bursts was better than h_RSS = 6E-21 Hz^{-1/2}. Our result is
comparable to the best published results searching for association between
gravitational waves and GRBs.
