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- W4286247487 abstract "Abstract We theoretically and experimentally investigate the Doppler-broadened absorption spectrum of the D 2 -line (5 2 S 1/2 → 5 2 P 3/2 ) in thermal (room-temperature) Rb vapour over a wide range of probe intensity, probe diameter, and vapour cell temperature to understand the effect of hyperfine pumping and transit-relaxation on the absorption lineshape. We present a relatively simple but comprehensive five-level rate equation model which incorporates optical pumping of the atomic population into the other ‘dark’ ground hyperfine level (leading to absorption saturation), including contributions of the three closely spaced (within one Doppler linewidth) hyperfine levels in the excited state 5 2 P 3/2 (allowed by the dipole transition selection rules). D 2 -line transmission spectra predicted by our model show excellent agreement (rms error <?CDATA $< 5%$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mo><</mml:mo> <mml:mn>5</mml:mn> <mml:mi>%</mml:mi> </mml:math> ) with the experimental data for a wide range of probe intensities (from <?CDATA $sim 0.001{I}_{mathrm{s}mathrm{a}mathrm{t}mathrm{0}}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mo>∼</mml:mo> <mml:mn>0.001</mml:mn> <mml:msub> <mml:mrow> <mml:mi>I</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant=normal>s</mml:mi> <mml:mi mathvariant=normal>a</mml:mi> <mml:mi mathvariant=normal>t</mml:mi> <mml:mn mathvariant=normal>0</mml:mn> </mml:mrow> </mml:msub> </mml:math> all the way up to <?CDATA $sim 10{I}_{mathrm{s}mathrm{a}mathrm{t}mathrm{0}}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mo>∼</mml:mo> <mml:mn>10</mml:mn> <mml:msub> <mml:mrow> <mml:mi>I</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant=normal>s</mml:mi> <mml:mi mathvariant=normal>a</mml:mi> <mml:mi mathvariant=normal>t</mml:mi> <mml:mn mathvariant=normal>0</mml:mn> </mml:mrow> </mml:msub> </mml:math> , where I sat0 is the usual two-level saturation intensity for the respective atomic transition), vapour cell temperatures (24.2°C–53.5 °C) and beam diameters (1/ e 2 width <?CDATA $sim 1-6$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mo>∼</mml:mo> <mml:mn>1</mml:mn> <mml:mo>−</mml:mo> <mml:mn>6</mml:mn> </mml:math> mm). Our model also takes into account the finite transit time of atoms across the probe beam cross-section, and correctly predicts the dependence of effective saturation intensity on probe diameter (up to <?CDATA $sim 10times $?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mo>∼</mml:mo> <mml:mn>10</mml:mn> <mml:mo>×</mml:mo> </mml:math> lower saturation intensity as compared to I sat0 for few-mm beam sizes). This ab initio five-level model can thus predict accurate Doppler lineshapes for any given experimental parameter set for a linearly polarized probe without any fitting parameters, and can be easily applied to any other atomic system by an appropriate change of the atomic constants in the rate equations." @default.
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- W4286247487 date "2022-07-25" @default.
- W4286247487 modified "2023-10-18" @default.
- W4286247487 title "A comprehensive model for Doppler spectra in thermal atomic vapour" @default.
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