journal article·2023-07-01Open access

Inverse transform sampling for efficient Doppler-averaged spectroscopy simulations

Andrew P. Rotunno, Amy K. Robinson, Nikunjkumar Prajapati, Samuel Berweger, Matthew T. Simons, Alexandra B. Artusio-Glimpse, Christopher L. Holloway

AIP Advances· Volume 13· Issue 7

Abstract

We present a thermal velocity sampling method for calculating Doppler-broadened atomic spectra, which more efficiently reaches convergence than regular velocity weighted sampling. The method uses equal-population sampling of the 1D thermal distribution, sampling the “inverse transform” of the cumulative distribution function, and is broadly applicable to normal distributions. We also discuss the efficiency by eliminating velocity classes, which do not significantly contribute to the observed atomic lines, and comment on the application of this method in two- and three-dimensions.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Atomic and Subatomic Physics Research · Advanced MRI Techniques and Applications · NMR spectroscopy and applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

National Institute of Standards and Technology 1 , Boulder, Colorado 80305, USA

ANSYS, Inc. 2 , Boulder, Colorado 80301, USA

References (24)

Show source-provided references
1. Electric field metrology for SI traceability: Systematic measurement uncertainties in electromagnetically induced transparency in atomic vapor10.1063/1.4984201 ↗
2. Modern RF measurements with hot atoms: A technology review of Rydberg atom-based radio frequency field sensors10.1109/mmm.2022.3148705 ↗
3. Microwave electrometry with Rydberg atoms in a vapour cell using bright atomic resonances10.1038/nphys2423 ↗
4. Temperature dependence of Doppler-broadening in rubidium: An undergraduate experiment10.1119/1.18553 ↗
5. Thermometry of ultracold atoms by electromagnetically induced transparency10.1103/physreva.85.063416 ↗
6. Narrowing of electromagnetically induced transparency resonance in a Doppler-broadened medium10.1103/physreva.66.013805 ↗
7. Power narrowing: Counteracting Doppler broadening in two-color transitions10.1088/1367-2630/ab4624 ↗
8. 1998
9. V. Illustrations of the dynamical theory of gases—Part I. On the motions and collisions of perfectly elastic spheres10.1080/14786446008642818 ↗
10. 1903
11. Three-photon electromagnetically induced transparency using Rydberg states10.1364/ol.37.003858 ↗
12. A practical guide to electromagnetically induced transparency in atomic vapor10.1088/1367-2630/acbc40 ↗
13. Microwave dressing of Rydberg dark states10.1088/0953-4075/44/18/184020 ↗
14. S. Olver and A.Townsend, “Fast inverse transform sampling in one and two dimensions,” arXiv:1307.1223 (2013).
15. 1952
16. 1964
17. Algorithm as 241: The percentage points of the normal distribution10.2307/2347330 ↗
18. Data and code for the paper, ‘Inverse transform sampling for efficient Doppler-averaged spectroscopy simulations
19. Doppler-free multiphotonic spectroscopy10.1088/0034-4885/40/7/002 ↗
20. Electromagnetically induced transparency, absorption, and microwave-field sensing in a Rb vapor cell with a three-color all-infrared laser system10.1103/physreva.100.063427 ↗
21. A read-out enhancement for microwave electric field sensing with Rydberg atoms
22. 1995
23. 2011
24. ARC: An open-source library for calculating properties of alkali Rydberg atoms10.1016/j.cpc.2017.06.015 ↗