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24 April 2024 |
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Drift-Free Fabry-Perot-Cavity-based Optical Refractometry -- Accurate Expressions for Assessments of Gas Refractivity and Density | Ove Axner
; Isak Silander
; Thomas Hausmaninger
; Martin Zelan
; | Date: |
3 Apr 2017 | Abstract: | Recent advancements in the field of Fabry-Perot cavity based optical
refractometry (OR), FPC-OR, comprising the use of proposed novel methodologies
based on drift-free Dual FPC-OR (DF-DFPC-OR), have alleviated much of earlier
problems with FPC-OR, in particular drifts of the cavity spacer, and therefore
open up for new levels of accurate characterization of gases. However, to be
able to use these techniques for highly accurate assessments, general and
explicit expressions are needed for how the gas density, ${
ho_n}$, is related
to the refractivity of the gas, $n - 1$, and how the latter depends on the
change in frequency of laser light that follows an evacuation of the cavity,
$Delta {
u_l}$. This paper presents such relations that properly acknowledge
the influence of all conceivable phenomena and higher order (non-linear)
contributions to the assessment of these entities under drift-free conditions.
The relative contributions of each of these phenomena to measurements of gas
refractivity and density are individually assessed. It is shown, among other
things, that, the influence of cavity deformation is larger for an open cavity
(placed in a compartment in which gas is introduced) than a closed one; if not
accounted for appropriately, under standard pressure and temperature conditions
it can contribute to the accuracy of the technique with up to a few times
10$^{-3}$ if an open cavity is used, while it can be an order of magnitude
smaller, i.e. in the order of 10$^{-4}$, for a well-designed closed cavity. It
is also shown that the non-linearities from dispersion are smaller for the
cases when relocking takes place than when it is not used. The expressions
derived can serve as a basis for assessment of refractivity or gas density, and
changes in such, in future realizations of OR in such a way that they can fully
benefit from the extraordinary power of DF-DFPC-OR. | Source: | arXiv, 1704.1187 | Services: | Forum | Review | PDF | Favorites |
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