We determined the extinction ratio of a polarization analyser on the b
asis of Malus' law by relating the transmitted light intensity to the
analyser azimuth measured at only a small range of analyser azimuth an
gles around the minimum position, thus avoiding the requirement for an
optical detector with a high dynamic range. To adjust the orientation
of the analyser azimuth we manufactured a precise rotation stage whic
h had an angular resolution of less than 1 mu rad. The minimum value o
f the extinction ratio was 2.9 x 10(-10), obtained for a polarization
analyser of the Glan-Taylor type. To calibrate the apparatus we measur
ed the Faraday rotation of a glass plate placed in a magnetic field in
the optical path.