Abstract

A method for time differentiation based on a Babinet-Soleil-Bravais compensator is introduced. The complex transfer function of the device is measured using polarization spectral interferometry. Time differentiation of both the pulse field and pulse envelope are demonstrated over a spectral width of about 100 THz with a measured overlap with the objective mode greater than 99.8%. This pulse shaping technique is shown to be perfectly suited to time metrology at the quantum limit.

Highlights

  • Lasers, being monochromatic or composed of ultrashort coherent train of pulses such as frequency combs, have become daily tools for high sensitivity metrology

  • This phase can be measured in a straightforward way by use of polarization spectral interferometry [18], which consists of inserting a birefringent crystal in order to introduce a time delay between the two pulses

  • In order to produce the time derivative of the pulse envelope, we proceed as explained in section and increase the thickness δL in the BSB until we observe a zero transmission in the spectrum measured along the x axis, corresponding

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Summary

INTRODUCTION

Lasers, being monochromatic or composed of ultrashort coherent train of pulses such as frequency combs, have become daily tools for high sensitivity metrology. It is well known that the generation of two time-delayed pulses can be achieved by use of birefringence in a uniaxial crystal, as has been applied for example in the case of polarization spectral interferometry [18]. In order to generate the time derivative of the pulse envelope, we can choose a thickness L such that the optical path difference is a multiple of the center wavelength: δk(ω0)L/2 = nπ, where n is an integer number. Choosing E along the x axis and E2 along the −y axis yields the transfer function R(ω) = −i(ω − ω0)T2, with T2 = δk′(ω0)L/2, which corresponds to a time shift τ = 2T2 equal to the group delay difference between the two polarizations. Choosing E along the −y axis and E2 along the x axis allows getting the desired transfer function, with a greater accuracy at the cost of a smaller efficiency

EXPERIMENTAL SETUP
Objective
Findings
CONCLUSION
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