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Experiments to Control Atom Number and Phase-Space Density in ...

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distribution of the MOT master laser is shown <strong>in</strong> figure 4.8.<br />

error signal<br />

from<br />

lock-box<br />

MOT master<br />

laser<br />

λ/2<br />

λ/2<br />

optical<br />

isola<strong>to</strong>r<br />

anamorphic<br />

prism pair<br />

AOM<br />

@<br />

103 MHz<br />

<strong>to</strong> saturation<br />

absorption<br />

spectrometer<br />

+1<br />

λ/4<br />

λ/2<br />

+1<br />

<strong>to</strong> slave<br />

lasers<br />

<strong>to</strong> Fabry-Perot<br />

cavity<br />

PBSC<br />

AOM<br />

@<br />

80 MHz<br />

Figure 4.8: Distribution fo the MOT master laser. Figure courtesy of Gabriel Price.<br />

Figure 4.9 shows the layout of the saturated absorption spectroscopy setup used<br />

<strong>to</strong> lock the MOT master laser. The beam is split <strong>in</strong><strong>to</strong> a pump <strong>and</strong> a probe beam us<strong>in</strong>g<br />

an uncoated glass plate. This ensures that the probe beam is significantly weaker than<br />

the pump beam. The pump beam is deflected by a polariz<strong>in</strong>g beam splitter cube <strong>and</strong><br />

double passes a 44 MHz AOM. This AOM is modulated with a frequency of 7 kHz<br />

<strong>and</strong> a modulation depth of 4 MHz. In the double pass the polarization of the beam<br />

is rotated by 90 ◦ , pass<strong>in</strong>g a quarter waveplate twice. On the second <strong>in</strong>cidence on the<br />

polariz<strong>in</strong>g beam splitter cube the pump beam thus passes through the cube <strong>and</strong> <strong>in</strong><strong>to</strong> the<br />

rubidium vapor cell. The pump beam is therefore counter-propagat<strong>in</strong>g the probe beam.<br />

At the same cube the probe beam is deflected <strong>and</strong> the signal is recorded with a fast<br />

pho<strong>to</strong>diode. The signal is mixed with the FM frequency at a lock-<strong>in</strong> amplifier (Stanford<br />

Research Systems, SR510). The error signal that results from sweep<strong>in</strong>g the laser across<br />

the |F = 2〉 → |F ′ = 3〉 transition is shown <strong>in</strong> figure 4.10.<br />

The laser is locked <strong>to</strong> the |F = 2〉 → |F ′ = 2/3〉 crossover l<strong>in</strong>e, as this is the<br />

most prom<strong>in</strong>ent feature. The error signal is fed <strong>in</strong><strong>to</strong> a PID circuit <strong>and</strong> amplified by a<br />

high-voltage amplifier (Trek 601B-2) <strong>to</strong> feed back on<strong>to</strong> the grat<strong>in</strong>g angle.<br />

54

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