Computational multiheterodyne spectroscopy

TL;DR

This paper introduces a computational method to extract phase and timing signals in multiheterodyne spectroscopy, eliminating the need for stabilization or additional measurements, thereby simplifying dual comb systems and broadening their applicability.

Contribution

It presents a novel computational approach to analyze multiheterodyne spectra without extra optical elements or stabilization, expanding the technique's usability.

Findings

Effective extraction of phase and timing signals computationally

Works even when linewidth exceeds repetition rate difference

Simplifies dual comb spectroscopy systems

Abstract

Dual comb spectroscopy allows for high-resolution spectra to be measured over broad bandwidths, but an essential requirement for coherent integration is the availability of a phase reference. Usually, this means that the combs' phase and timing errors must be measured and either minimized by stabilization or removed by correction, limiting the technique's applicability. In this work, we demonstrate that it is possible to extract the phase and timing signals of a multiheterodyne spectrum completely computationally, without any extra measurements or optical elements. These techniques are viable even when the relative linewidth exceeds the repetition rate difference, and can tremendously simplify any dual comb system. By reconceptualizing frequency combs in terms of the temporal structure of their phase noise, not their frequency stability, we are able to greatly expand the scope of multiheterodyne techniques.