We present an experimental method to measure the transverse spatial quantum state of an optical field in coordinate space at the single-photon level. The continuous-variable measurements are made with a photon-counting, parity-inverting Sagnac interferometer based on all-reflecting optics. The technique provides a large numerical aperture without distorting the shape of the wavefront, does not introduce astigmatism, and allows for characterization of fully or partially coherent optical fields at the single-photon level. Measurements of the transverse spatial Wigner functions for highly attenuated coherent beams are presented and compared with theoretical predictions.
© 2005 Optical Society of America
Brian J. Smith, Bryan Killett, M. G. Raymer, I. A. Walmsley, and K. Banaszek, "Measurement of the transverse spatial quantum state of light at the single-photon level," Opt. Lett. 30, 3365-3367 (2005)