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Inverse Transform Sampling for Efficient Doppler-Averaged Spectroscopy Simulations

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arxiv 2304.12468 v1 pith:MPEVG2GQ submitted 2023-04-24 physics.atom-ph

classification physics.atom-ph
keywords samplingmethodvelocityatomicdistributioninversethermaltransform
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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.

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