Fig. 1. Schematic diagram of enhanced WVA scheme based on multiple weak interactions

Fig. 2. Experimental setup for enhanced phase weak value amplification based on multiple weak interactions (FC: fiber collimator; M: mirror; HWP: half wave plate; QWP: quarter wave plate; GTP: Glan‒Taylor polarizer; APD: avalanche photodiode; OSC: oscilloscope)

Fig. 3. Weak interaction at N=1 (The dots are experimental results and the curves denote theoretical fittings). Intensity I± and Iave versus phase delay β for different post-selection angles: (a) ρ=0.002 rad; (b) ρ=0.004 rad; (c) ρ=0.007 rad. (d) Symmetrical post-selection intensity contrast ratio ξ versus β

Fig. 4. For different post-selection angles, intensity shift SN± versus phase delay β based on MWI (The dots are experimental results and the curves denote theoretical fittings). (a)(d) ρ=0.002 rad; (b)(e) ρ=0.004 rad; (c)(f) ρ=0.007 rad

Fig. 5. Intensity contrast ratio ξN versus phase delay β based on MWI for three different post-selection angles (The error bars are the standard deviation of twenty repetitive experiments. The dots represent experimental results and the curves illustrate theoretical fittings). (a) ρ=0.002 rad; (b) ρ=0.004 rad; (c) ρ=0.007 rad

Fig. 6. Measured intensity uncertainty δIN versus ρ based on MWI in the range of post-selection angles of 0.002‒0.0084 rad

Fig. 7. NA^w± and SNR versus ρ in the range of post-selection angles of 0.002‒0.0084 rad (The dots are experimental results and the curves denote theoretical fittings). (a) N=1; (b) N=2