Efficient lineshape estimation by ghost spectroscopy

• URL: http://arxiv.org/abs/2301.08123v1
• Date: Thu, 19 Jan 2023 15:34:12 GMT
• Title: Efficient lineshape estimation by ghost spectroscopy
• Authors: Ilaria Gianani, Luis L. Sanchez Soto, Aaron Z. Goldberg, Marco Barbieri
• Abstract summary: We show how to recover the original spectral lineshapes from data obtained by instruments with extended transmission profiles. We experimentally confirm these limits with a simple ghost spectroscopy demonstration.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recovering the original spectral lineshapes from data obtained by instruments with extended transmission profiles is a basic tenet in spectroscopy. By using the moments of the measured lines as basic variables, we turn the problem into a linear inversion. However, when only a finite number of these moments are relevant, the rest of them act as nuisance parameters. These can be taken into account with a semiparametric model, which allows us to establish the ultimate bounds on the precision attainable in the estimation of the moments of interest. We experimentally confirm these limits with a simple ghost spectroscopy demonstration.

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