Abstract
Assessments of refractivity in a Fabry–Perot (FP) cavity by refractometry often encompass a step in which the penetration depth of the light into the mirrors is estimated to correct for the fraction of the cavity length into which no gas can penetrate. However, as it is currently carried out, this procedure is not always coherently performed. Here, we discuss a common pitfall that can be a reason for this and provide a recipe on how to perform FP-cavity-based refractometry without any influence of mirror penetration depth. At the request of the authors and editor, this article is being retracted effective 24 July 2023.
Highlights
Fabry–Perot (FP) based refractometry is a technique that can be used for assessment of gas refractivity, molar density, and pressure
Assessments of refractivity in an FP cavity by refractometry often encompass a step in which the penetration depth of the light into the mirrors is estimated to correct for the fraction of the cavity length into which no gas can penetrate
Δν þ Δq 1 À Δν where Δν represents the relative shift of the laser frequency, given by Δν=ν0; Δq is the relative number of modes the laser has jumped, given by Δq=q0; L pd is the relative penetration depth of a mirror, given by L pd=L00; δL is the relative alteration of the length of the cavity due to the presence of the gas, given by δL=L00; and ε is the refractivity normalized relative alteration of the length of the cavity, given by δL=(n À 1). 2L pd represents the fraction of the cavity length into which no gas can penetrate
Summary
Fabry–Perot (FP) based refractometry is a technique that can be used for assessment of gas refractivity, molar density, and pressure. Assessments of refractivity in an FP cavity by refractometry often encompass a step in which the penetration depth of the light into the mirrors is estimated to correct for the fraction of the cavity length into which no gas can penetrate. Where Δν represents the relative shift of the laser frequency, given by Δν=ν0; Δq is the relative number of modes the laser has jumped, given by Δq=q0 (or, alternatively, by ΔqνFSR=ν0); L pd is the relative penetration depth of a mirror, given by L pd=L00; δL is the relative alteration of the length of the cavity due to the presence of the gas, given by δL=L00; and ε is the refractivity normalized relative alteration of the length of the cavity, given by δL=(n À 1). Expressions of this or similar type appear frequently in the literature, e.g., in the works of Egan and Stone[4] and Zakrisson et al.[13]
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