We propose a method for measuring rotation angles by using a parallel
interference pattern. At two points on a parallel interference pattern
reflected by an object, we detect phase changes in the reflected para
llel interference pattern caused by rotations of the object. A high se
nsitivity, or a high ratio of the phase change to the rotation angle,
17 mrad/arcsec, can be achieved by determining the positions of two de
tection points. A high spatial resolution of similar to 0.5 mm is also
obtained. We analyze the measurement error caused by the alignment of
the parallel interference pattern and a random measurement error caus
ed by the phase detection. The theoretical analyses and the experiment
al results make the characteristics of the method clear and show that
the method has an accuracy of 0.2 arcsec for small rotation angles.