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This study evaluates the accuracy and validity of different approximations for modeling 87Rb hyperfine spectra under varying conditions.

February 28, 2026PhotonicsOpen Access

Accuracy and Validity Range of a Simplified Lorentzian Approximation for Pressure-Broadened 87Rb Hyperfine Spectra

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This study evaluates the accuracy and validity of different approximations for modeling 87Rb hyperfine spectra under varying conditions.
Compared three fitting algorithms: single Lorentzian, hyperfine-resolved Voigt, doublet Lorentzian.
Conducted experiments across optical intensities from 40 nW to 10 mW.
Tested buffer-gas pressures from 200 Torr to 520 Torr and temperatures between 370 K and 390 K.
Doublet Lorentzian achieved fitting accuracy of R2 > 0.996 under specific conditions.
Fitting error below 0.3% for D2 line and below 0.1% for D1 line at 350 Torr.
At 520 Torr and high optical intensities, a single Lorentzian model was sufficient.

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Investigates fitting accuracy of pressure-broadened hyperfine spectra, suggesting optimal modeling conditions for diagnostics.

Jiang et al. (2026) studied this question.

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