# Giant weak value amplification with chirped waveforms

## TL;DR

This paper demonstrates that chirped waveforms significantly enhance weak value amplification, enabling detection of tiny frequency shifts with much greater sensitivity, especially useful in radar and microwave optics.

## Contribution

It introduces the use of chirped pulses for weak value amplification, showing they outperform Gaussian pulses in detecting small frequency shifts.

## Key findings

- Chirped pulses provide two orders of magnitude amplification of frequency shifts.
- Chirped waveforms cover larger phase space areas than Gaussian pulses.
- Potential applications include highly sensitive Doppler radar technology.

## Abstract

Weak value amplification is a classical phenomenon that can enhance the sensitivity of a measurement through clever use of interference. The most well-known paradigm of weak value amplification makes use of a Gaussian pulse, which is typical of pulsed laser systems. In this Letter we show that chirped pulses have a great advantage over Gaussians at detecting frequency shifts thanks to the large phase space area that they cover. As an example, we show that within the typical operative parameters of a radar, we can achieve two orders of magnitude amplification of small frequency shifts \emph{on top of the weak value amplification}. This idea could lead to new metrological avenues in the microwave optics domain, and to Doppler radar technology with unprecedented sensitivity.