Power-recycled weak-value-based metrology

TL;DR

This paper enhances weak-value-based interferometric measurements by incorporating a power recycling mirror to create a resonant cavity, significantly improving efficiency and signal-to-noise ratio in beam deflection detection.

Contribution

It introduces a novel power recycling approach to weak-value metrology, enabling all light to reach the detector and magnifying the signal without postselection loss.

Findings

All light exits to the detector with large deflection

Signal-to-noise ratio is magnified by the weak value

Proposes practical cavity designs for implementation

Abstract

We improve the precision of the interferometric weak-value-based beam deflection measurement by introducing a power recycling mirror, creating a resonant cavity. This results in \emph{all} the light exiting to the detector with a large deflection, thus eliminating the inefficiency of the rare postselection. The signal-to-noise ratio of the deflection is itself magnified by the weak value. We discuss ways to realize this proposal, using a transverse beam filter and different cavity designs.