  Optical interferometry has made tremendous development in fundamentals and
applications of light. Traditional optical interferometry using simplex plane
phase light just allows one dimensional measurement, but incapable of
retrieving multidimensional movement. Here, we present new structured light
interferometry to achieve simultaneous determination of rotational and
translational dimensionalities (magnitudes and directions) of moving objects by
fully exploiting multiple degree of freedoms of structured light. Such
multidimensional detectability benefits from multiple amplitude and sign
distinguishable Doppler shifts of structured light by analyzing relative
amplitude and phase information of Doppler signals. We experimentally
demonstrate two interferometric schemes to individually retrieve both
translational and rotational velocity vectors of two kinds of moving objects
(small particles and bulk targets). These interferometric schemes based on
structured light show remarkable function enhancement for simultaneous
measurement of multidimensional motion vectors, compared with traditional
interferometry, and thus may expand optical interferometry to multidimensional
metrology in remote sensing, intelligent manufacturing and engineering.
