Experiments to Control Atom Number and Phase-Space Density in ...
Experiments to Control Atom Number and Phase-Space Density in ...
Experiments to Control Atom Number and Phase-Space Density in ...
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In the derivation for the optical density, it was assumed that the probe beam<br />
<strong>in</strong>tensity I satisfies I ≪ Isat. Unfortunately this is not the regime with the best signal-<br />
<strong>to</strong>-noise ratio. The best signal-<strong>to</strong>-noise ratio is found for <strong>in</strong>tensities I ≈ Isat. However,<br />
for a large enough number of a<strong>to</strong>ms it is possible <strong>to</strong> achieve adequate signal-<strong>to</strong>-noise<br />
ratios even <strong>in</strong> the low-<strong>in</strong>tensity regime.<br />
7.5.2 Fluorescence Imag<strong>in</strong>g <strong>and</strong> Calibration<br />
Fluorescence imag<strong>in</strong>g of lithium a<strong>to</strong>ms is very straight forward, <strong>and</strong> no special<br />
considerations have <strong>to</strong> be made. Even though fluorescence imag<strong>in</strong>g is simple it is very<br />
useful for f<strong>in</strong>d<strong>in</strong>g the image plane <strong>and</strong> calibrat<strong>in</strong>g the magnification of the imag<strong>in</strong>g<br />
system.<br />
The image plane, <strong>and</strong> thus the position of the camera, can be found us<strong>in</strong>g a<br />
split-imag<strong>in</strong>g technique. A mask with two or more holes is placed directly beh<strong>in</strong>d the<br />
imag<strong>in</strong>g lens, as shown <strong>in</strong> figure 7.45. The fluorescence signal is then collected only<br />
through those two holes. If the camera is not placed <strong>in</strong> the image plane, the two images<br />
formed by the two spots will not overlap; they co<strong>in</strong>cide only <strong>in</strong> the image plane. This<br />
method is a quick <strong>and</strong> easy way <strong>to</strong> locate the image plane.<br />
MOT<br />
object<br />
distance<br />
image<br />
distance<br />
Figure 7.45: Schematic setup for f<strong>in</strong>d<strong>in</strong>g the imag<strong>in</strong>g plane us<strong>in</strong>g a split-imag<strong>in</strong>g technique.<br />
A mask with two or more holes is placed beh<strong>in</strong>d the imag<strong>in</strong>g lens. The two<br />
images of the MOT co<strong>in</strong>cide only <strong>in</strong> the imag<strong>in</strong>g plane.<br />
CCD<br />
The magnification of an imag<strong>in</strong>g system is typically determ<strong>in</strong>ed by tak<strong>in</strong>g a series<br />
of images show<strong>in</strong>g a<strong>to</strong>ms <strong>in</strong> free fall. The center of mass position can then be used <strong>to</strong><br />
calibrate the magnification. This method, however, has a couple of problems. Any<br />
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