A novel laser angular-encoder system has been developed based on the p
rinciples of radar, the Doppler effect, optical heterodyning and self-
aligning multiple-reflection optics. Using this novel three-dimensiona
l multiple-reflection optical path, an increase in resolution of 10 to
20 times has been reached compared with commercially available laser
Doppler displacement meters or laser interferometer systems. With the
new angular encoder, sub-mad resolution has been attained in the 8 deg
rees measuring range in a compact set-up [about 60 (H) x 150 (W) x 370
mm (L)] for high-energy-resolution applications at the Advanced Photon
Source undulator beamline 3-ID.