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Dependence of the half linewidth and the SNR on the cell length in a Surfasil-coated cell (a) and an OTS-coated cell (b) in a homogeneous magnetic field. The error bars of the SNR shows the scatter in the data taken under the same experimental conditions, and is due to the magnetic noise in the lab. The cell temperature and the corresponding Rb density are the same for all the figures. Dashed lines are drawn between the SNR data points to guide the eye. Solid lines are the fit to the half width data using Eq. (1). Note that the linewidths shown here are in the limit of vanishing rf broadening. Inset in (b): A Rb cell with adjustable length.
(a) Representative magnetic resonance lines for OTS-coated cells: (a) In a homogeneous magnetic field and (b) in an inhomogeneous magnetic field with gradients , which is generated by the combination of three orthogonal pairs of Helmholtz coils and a round Alnico bar magnet. The holding field at the center of the cell is , and . Open circles are data. Solid lines are calculated using the theory in Refs. 12 and 13. The rf broadening for (a) and (b) is about . The broadening due to the transverse field gradient, which is the main contribution to the linewidth in (b), is .
(a) The full linewidth and the SNR for an OTS-coated cell with adjustable length in the same inhomogeneous magnetic field as in Fig. 2(b) except for a slightly different holding field. (b) The corresponding magnetic resonance curves for some of the data points in (a). Symbols are data. Solid lines are calculated using the theory in Refs. 12 and 13. Note that when the cell length is varied the position of the front surface is fixed. The peak that corresponds to is at , and is shifted from the cell center by due to the transverse field gradient (Ref. 13). Using , we can deduce the position of the front surface to be at in the frequency space.
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