Weak Value Measurement of an Optical Beam Deflection in Image Rotating Sagnac Interferometer

Jing-Hui Huang, Xue-Ying Duan, Xiangyun Hu

Sang‐Joon Park, Hyoung Joo Kim, Jaewoo Noh

We measured small optical beam deflection in an image rotating Sagnac interferometer. We used a weak value measurement scheme that involves a pre-selection, weak perturbation, and a post-selection procedure to obtain the amplified value of beam deflection. The amplification factor of the measured beam deflection varied from 11 to 63 depending on the settings of the post-selection polarizer in front of the photodetector and the settings of polarization compensator in the interferometer.

Gabriel G. Maia

P. Ben Dixon, David J. Starling, Andrew N. Jordan +1 more

We report on the use of an interferometric weak value technique to amplify very small transverse deflections of an optical beam. By entangling the beam's transverse degrees of freedom with the which-path states of a Sagnac interferometer, it is possible to realize an optical amplifier for polarization independent deflections. The theory for the interferometric weak value amplification method is presented along with the experimental results, which are in good agreement. Of particular interest, we measured the angular deflection of a mirror down to 400+/-200 frad and the linear travel of a piezo actuator down to 14+/-7 fm.

修平 玉手

P. Ben Dixon, David J. Starling, Nathan S. Williams +3 more

We report on the use of an interferometric weak value technique to amplify small transverse deflections of an optical beam. Our techniques consists of coupling the beam’s transverse degrees of freedom to the which-path states of a Sagnac interferometer. The theory for the amplification, including signal to noise ratio considerations, is presented along with the experimental results which are in good agreement. Of particular interest, we measured the angular deflection of a mirror down to 560 femtoradians and showed the signal to noise ratio to be amplified by a factor of 150.