We made regionally specific measurement of the hyperfine polarization $⟨\mathbit{S}∙\mathbit{I}⟩$ of Rb atoms in the vicinity $(\ensuremath{\sim}{10}^{\ensuremath{-}5}\phantom{\rule{0.3em}{0ex}}\mathrm{cm})$ of coated and uncoated Pyrex glass surfaces in optical pumping cells. This is in contrast to the previous hyperfine polarization studies, where the quantity measured is the bulk hyperfine polarization, which depends on surface interactions averaged over the entire cell surfaces. We probe the hyperfine polarization of the Rb atoms in the vicinity of cell surfaces using the evanescent wave of a weak laser beam. We find that the polarization in the vicinity of uncoated surfaces is significantly lower than that in the bulk. The polarization decreases rapidly with decreasing distance from the surface. By contrast, the polarization in the vicinity of a silicone-coated Pyrex glass surface is independent of the distance from the cell surface and is equal to the bulk polarization. Regionally specific measurement of the hyperfine polarization as a function of the penetration depth of the evanescent wave allows us to deduce the hyperfine polarization, its normal gradient, as well as the normal gradient coefficient ${\ensuremath{\mu}}_{\mathbit{S}∙\mathbit{I}}$ at the cell surface. We present the values of these quantities for three representative uncoated cells.
We have made regionally specific measurement of the hyperfine polarization $⟨\mathbit{S}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbit{I}⟩$ of
87Rb atoms in the vicinity ($\ensuremath{\sim}{10}^{\ensuremath{-}5}\text{ }\mathrm{c}\mathrm{m}$) of coated and uncoated Pyrex glass surfaces. We find that the polarization near an uncoated surface decreases rapidly with decreasing distance from the surface whereas for a silicone-coated surface the polarization is independent of the distance from the surface. We have also determined the normal gradient coefficient ${\ensuremath{\mu}}_{\mathbit{S}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbit{I}}$ of the hyperfine polarization in uncoated cells. In a representative uncoated cell, at a Rb density $7.35\ifmmode\times\else\texttimes\fi{}{10}^{13}\text{ }{\mathrm{c}\mathrm{m}}^{\ensuremath{-}3}$ and a pump beam intensity
1.3 W/cm2, we find ${\ensuremath{\mu}}_{\mathbit{S}\ifmmode\cdot\else\textperiodcentered\fi{}\mathbit{I}}=24\ifmmode\pm\else\textpm\fi{}7\text{ }\ensuremath{\mu}{\mathrm{m}}^{\ensuremath{-}1}$.