Photon-counting-based optical frequency metrology

Thiago Ferreira da Silva

doi:10.1364/AO.411171

Applied Optics
Vol. 59,
Issue 36,
pp. 11232-11239
(2020)
•https://doi.org/10.1364/AO.411171

Photon-counting-based optical frequency metrology

Thiago Ferreira da Silva

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Thiago Ferreira da Silva, "Photon-counting-based optical frequency metrology," Appl. Opt. 59, 11232-11239 (2020)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

Low power can be a concern for the calibration of frequency-stabilized lasers by traditional heterodyne beating at a photodiode. On the other hand, time-correlated photon counts in a Hong–Ou–Mandel interferometer are able to reveal the frequency difference between a pair of few-photon laser sources. This paper evaluates the photon-counting method as a metrological tool for optical frequency calibration traced to radiation standards. Measurement procedure and uncertainty budget are developed. The method’s uncertainty is determined as 0.24 MHz from measurements with a pair of frequency-stabilized He–Ne lasers. The optical frequency traces to standard radiation with 2.9 MHz uncertainty, limited by stability of the sources used. Validation measurements using classical heterodyne technique agree within 0.12 MHz, thus establishing the photon-counting approach as a resource for frequency metrology of extremely faint laser sources.

Full Article | PDF Article

More Like This

Measurement of photon indistinguishability to a quantifiable uncertainty using a Hong-Ou-Mandel interferometer

Peter J. Thomas, Jessica Y. Cheung, Christopher J. Chunnilall, and Malcolm H. Dunn
Appl. Opt. 49(11) 2173-2182 (2010)

Applying a mixed light field generated from a two-level atomic ensemble to two-photon interference

Shuyu Zhou, Shanchao Zhang, Ying Wang, and Yuzhu Wang
Photon. Res. 8(6) 781-787 (2020)

Spectral characterization of weak coherent state sources based on two-photon interference

Thiago Ferreira da Silva, Gustavo C. do Amaral, Douglas Vitoreti, Guilherme P. Temporão, and Jean Pierre von der Weid
J. Opt. Soc. Am. B 32(4) 545-549 (2015)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (5)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (5)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Resolution of TIC	$u_{r e s o} (N) = 25 / \sqrt{N}$	4.6^a
Jitter of SPD_A	$t_{j A}$	27.7
Jitter of SPD_B	$t_{j B}$	25.2
Sampling time (100 ps)	$u_{t_{s}} = t_{b i n} / 2 / \sqrt{3}$	28.9
Time	$u_{t} = \sqrt{u_{reso}^{2} + t_{j 1}^{2} + t_{j 2}^{2} + u_{t_{s}}^{2}}$	47.5

Characterization	$u_{c h a r}$	0.58
RBW	$u_{R B W} = R B W / 2 / \sqrt{3}$	2.9
Resolution (span)	$u_{{r e s o}_{E S A}} = s p a n / 501 p t s / 2 / \sqrt{3}$	28.8
Frequency	$u_{f_{ESA}} = \sqrt{u_{char}^{2} + u_{RBW}^{2} + u_{{reso}_{ESA}}^{2}}$	29.0

Resolution	$u_{{r e s o}_{f}} = 1 / (2 n t_{b i n}) / \sqrt{3}$	0.24
HOM time uncertainty	$u_{f_{s}} = u_{t} / (2 n t_{b i n}^{2})$	0.20
Frequency	$u_{f} = \sqrt{u_{{reso}_{f}}^{2} + u_{f_{s}}^{2}}$	0.31

		Photon
		Counting	Classical
Dependence on $u_{f}$	$u_{f_{o} (f)} = \frac{u_{f}}{\sum_{i} P_{i}} \sqrt{\sum_{i} P_{i}^{2}}$	0.21	0.0067
Dependence on $u_{P_{i}}$	$u_{f_{o} (P)} = \frac{\sqrt{\sum_{i} u_{P_{i}}^{2} {(f_{i} - f_{0})}^{2}}}{\sum_{i} P_{i}}$	0.0057	0.016
Centroid ( $f_{0}$ )	$u_{f_{0}} = \sqrt{u_{f_{0} (f)}^{2} + u_{f_{0} (P)}^{2}}$	0.21	0.018

				Photon Counting	Classical
		Centroid ( $f_{0}$ )	$u_{f_{0}}$	0.21	0.018
	$f_{b e a t}$	Repeatability	$u_{r e p e}$	0.12
		Reproducibility	$u_{r e p r o}$	1.5
$ν_{t e s t}$			${u_{f}}_{b e a t}$	1.5
		Standard laser	$u_{L P}$ ( $k = 1$ )	2.5
		Combined	$u_{ν_{test}} = \sqrt{u_{f_{beat}}^{2} + u_{LP}^{2}}$	2.9

Abstract

Cited By

Figures (6)

Tables (5)

Equations (5)

Applied Optics