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The Use and Calibration of the Kern ME5000 Mekometer - SLAC ...

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1.2. Path Length Modification<br />

<strong>ME5000</strong> Operation<br />

<strong>The</strong> <strong>Kern</strong> ME3000 <strong>Mekometer</strong> eliminates <strong>the</strong> fractional part f by changing <strong>the</strong> patb distance D until<br />

<strong>the</strong> phase difference is zero, indicating an integral number <strong>of</strong> half-wavelengths, (5) <strong>and</strong> Fig. 2.<br />

D+6D = mf (5)<br />

< D .f SD+<br />

< m.?J2 ><br />

FIGURE 2. Distance determination by changing <strong>the</strong> parh lengrh<br />

As in <strong>the</strong> first approach, m is found by repeating <strong>the</strong> measurement using several predefmed<br />

frequencies.<br />

1.3. Frequency Modification<br />

<strong>The</strong> <strong>Kern</strong> MESO& <strong>Mekometer</strong> also eliminates <strong>the</strong> fractional part f, but by using a different method.<br />

<strong>The</strong> frequency is changed until a zero phase difference is obtained, (6) <strong>and</strong> Fig. 3.<br />

?b<br />

= m.-<br />

D 2<br />

(6)<br />

< D ><br />

FIGURE 3. Distance determination by changing <strong>the</strong> frequency<br />

<strong>The</strong> value <strong>of</strong> m is found in a manner different from <strong>the</strong> frrst two approaches. <strong>The</strong> frequency is<br />

increased in small steps until a zero phase difference is again detected, at which frequency <strong>the</strong> path<br />

contains m+l <strong>of</strong> <strong>the</strong>se new half-wavelengths X1/2,<br />

D = (m+l)$ (7)<br />

<strong>The</strong>se two frequencies provide sufficient information to resolve m <strong>and</strong> thus <strong>the</strong> distance.<br />

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