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Short-term stability of Cs microcell-stabilized lasers using dual-frequency sub-Doppler spectroscopy: erratum

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Abstract

This erratum provides a revision for the article by Gusching et al. [J. Opt. Soc. Am. B 38, 3254 (2021) [CrossRef]  ].

© 2023 Optica Publishing Group

We have found some errors in the noise source section of Table 1 in [1]. The latter should be replaced by the revised Table 1 presented here.

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Table 1. Revision for Table 1 of [1]

The main contribution to the laser beatnote short-term stability described in [1] was the frequency noise (FM noise) of the external-cavity diode laser (ECDL) through the intermodulation effect, not the FM noise of the distributed-feedback (DFB) laser. Some sentences of [1] should be revised according to this revision. Revised parts in these sentences are highlighted in italic font below.

The sentence at line 6 of the abstract in [1] should read as follows:

The detection noise budget and absolute phase noise measurements are in good agreement with the measured short-term frequency stability of the laser beatnote, at the level of $1.1 \times {10^{- 12}}\, {\tau ^{- 1/2}}$ until 100 s, currently limited by the frequency noise from an external-cavity diode laser setup.

The sentences at the end of page 3257 of Ref. [1] should read as follows:

We calculate that the laser beatnote short-term stability should be limited at the level of about $1 \times {10^{- 12}}$ at 1 s by the ECDL setup. In the DFB setup, the main noise contribution to the total budget is the laser frequency noise at the modulation frequency and harmonics. The expected short-term stability at 1 s of the ECDL setup is estimated at the level of 1.0 × 10–12 at 1 s, mainly limited by the intermodulation effect and the FM-AM noise conversion process.

The last two sentences of Section 3.B in Ref. [1] should read as follows:

In this case, we extract ${b_{- 2}} = 53 \;{{\rm dBrad}^2}/{\rm Hz}$, yielding an expected Allan deviation ${\sigma _y}(1s) = \sqrt {\frac{{{b_{- 2}}}}{{\nu _0^2}}} =$ 1.3 × 10–12. This value is in agreement with the expected 1.0 × 10–12 stability limit reported in Table 1.

A part of the second paragraph of Section 3.C in [1] should be revised:

This result is in good agreement with the short-term stability expected from the detection noise budget (1.0 × 10–12) and absolute phase noise performances (1.3 × 10–12), reported in Section 3.B. … As suggested by our detection noise budget, the individual stability of the DFSDS-based microcell ECDL should be at the level of 1.0 × 10–12 at 1 s in current conditions…

In [1], the sentence at line 8 of the conclusion should read as follows:

The short-term stability of the laser beatnote is limited by the frequency noise of the ECDL.

REFERENCE

1. A. Gusching, M. Petersen, N. Passilly, D. Brazhnikov, M. A. Hafiz, and R. Boudot, “Short-term stability of Cs microcell-stabilized lasers using dual-frequency sub-Doppler spectroscopy,” J. Opt. Soc. Am. B 38, 3254–3260 (2021). [CrossRef]  

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Tables (1)

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Table 1. Revision for Table 1 of [1]

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