Inverse Transform Sampling for Efficient Doppler-Averaged Spectroscopy Simulations

Published

July 14, 2023

Author(s)

Drew Rotunno, Nik Prajapati, Samuel Berweger, MATTHEW SIMONS, Aly Artusio-Glimpse, Amy Robinson, chris holloway

Abstract

We present a thermal velocity sampling method for calculating Doppler-broadened atomic spectra, which more efficiently reaches a smooth limit than regular velocity weighted sampling. The method uses equal-population sampling of the 1-D thermal distribution, sampling the 'inverse transform' of the cumulative distribution function, and is broadly applicable to normal distributions. We also discuss efficiencies from eliminating velocity classes which don't significantly contribute to observed atomic lines, and comment on the application of this method in 2- and 3-dimensions.

Citation

AIP Advances

Volume

13

Issue

7

Pub Type

Journals

Download Paper

https://doi.org/10.1063/5.0157748

Local Download

Keywords

rydberg atoms, electromagnetically induced transparency, spectroscopy, computational physics

Citation

Rotunno, D. , Prajapati, N. , Berweger, S. , SIMONS, M. , Artusio-Glimpse, A. , Robinson, A. and holloway, C. (2023), Inverse Transform Sampling for Efficient Doppler-Averaged Spectroscopy Simulations, AIP Advances, [online], https://doi.org/10.1063/5.0157748, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=935064 (Accessed October 22, 2025)