Inverse Transform Sampling for Efficient Doppler-Averaged Spectroscopy Simulations
Atomic Physics
2023-10-06 v1
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.
Cite
@article{arxiv.2304.12468,
title = {Inverse Transform Sampling for Efficient Doppler-Averaged Spectroscopy Simulations},
author = {Andrew P. Rotunno and Amy K. Robinson and Nikunjkumar Prajapati and Samuel Berweger and Matthew T. Simons and Alexandra B. Artusio-Glimpse and Christopher L. Holloway},
journal= {arXiv preprint arXiv:2304.12468},
year = {2023}
}
Comments
8 pages, 7 figures. Code and data will be available with final publication