Modified weak-value-amplification technique for measuring a mirror's velocity based on the Vernier effect

Weak-value-amplification enhancement of the Magneto-optical Kerr effect in nanoscale layered structures

“…The most sensitivity relationship between Kerr signals and the pointer shift depends on finding the most appropriate post-selection state. It is very important to go beyond this and design a new scheme based on the weak-value-amplification technique [73,30,74,36]. Particularly, the article [73] experimentally verified that biased weak measurement significant improves the precision of optical metrology with a scheme to measure a small optical delay, where the estimated parameter (corresponding to the small optical delay) was amplified as the parameter in the "weak-coupling" progress in the standard weak-value-amplification technique.…”

“…The weak measurement with post-selection was first proposed by Aharonov et al and they found that the result of a measurement of a component of the spin -1/2 particle can be magnified to 100 [34]. From then on, more and more works have verified that the WVA technique can amplify small unknown parameters for detecting many properties such as velocity shift [35,36], angular rotations [37], beam deflection [38,39] and single-photon nonlinearity [40]. Therefore, the WVA technique as a novel signal-enhanced technique can provide the possibility to strengthen the MOKE [41,42,43].…”

Auto-correlative weak-value amplification under strong noise background

“…Chronologically, a standard weak measurement includes an initial preparation of the measured system(preselection), weak coupling between the system and the pointer, a post-selection of the system, and a projecting measurement on the pointer to read out the results [9]. For now, the widely used pointers in weak measurement are the shifts of mean values, such as the temporal shifts [10][11][12][13], the momentum shifts [14,15], the frequency shits [16,17], and even the angular rotation shifts [18,19]. But even so, the WVA scheme entails an inherent dilemma: when the pre-and postselection are nearly orthogonal to achieve higher sensitivity, the probability of a successful post-selection will be reduced greatly [20,21].…”

Cascade weak-value amplification for optic-fiber-based Sagnac interferometers

“…There are three processes for obtaining the amplified weak value 𝐴 𝑤 : "pre-selection" for preparing the initial state, "weak interaction" between the measurement device and the system, and "post-selection" for preparing the final state. Note that the SWVA community tends to design and perform the SWVA experiments on free-space platform [33][34][35][36][37][38][39][40]. However, the large dimension, the instability and the high cost in the laboratory make it hard to transplant SWVA into real-world applications, like the optic-fiber-based Sagnac interferometers for the seismic wave detection.…”

“…The cascade weak-value amplification (CWVA) technique is a modified SWVA measurement and was first proposed in Ref. [38] to measure a mirror's velocity based on the Vernier effect. By performing two cascaded Michelson interferometers with similar optical structures with the principle of the Vernier effect, CWVA can achieve both larger SNR and higher sensitivity than the traditional SWVA measurements.…”