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

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I<br />

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:<br />

1.3. Scale error<br />

<strong>ME5000</strong> Test Measurements<br />

Scale error is due to an error in <strong>the</strong> frequency <strong>of</strong> modulation <strong>of</strong> <strong>the</strong> carrier beam. Determination <strong>of</strong><br />

<strong>the</strong> error <strong>the</strong>refore consists in measuring <strong>the</strong> emitted Bequency <strong>and</strong> comparing this against <strong>the</strong> frequency<br />

<strong>the</strong> instrument thinks it is using. <strong>The</strong> method used to do this is described below in Section 4 on<br />

Frequency Measurements.<br />

Three series <strong>of</strong> test measurements were conducted in order to evaluate <strong>the</strong> behavior <strong>of</strong> each<br />

instrument: baseline measurements, interferometer measurements <strong>and</strong> frequency measurements. <strong>The</strong>se<br />

tests am described below.<br />

2.1. <strong>The</strong> <strong>SLAC</strong> Baseline<br />

2. BASELINE MEASUREMENTS<br />

<strong>The</strong> <strong>SLAC</strong> baseline was constructed in mid-1985 along <strong>the</strong> south side <strong>of</strong> <strong>the</strong> Linac. Twenty pillars<br />

(BOl - B20) were erected (Table 2). <strong>The</strong> baseline runs nearly due east-west from BOl in <strong>the</strong> west at Sector<br />

O-O above <strong>the</strong> Linac injector to B20 in <strong>the</strong> east at Sector 21-2.<br />

Each pillar is a 1-ft diameter reinforced concrete post, poured in situ, that protrudes 3 ft above ground<br />

<strong>and</strong> descends 4 ft beneath ground. Each pillar is topped with a CERN socket. Most <strong>of</strong> <strong>the</strong> pillars are on<br />

<strong>the</strong> grass verge beside <strong>the</strong> access road.<br />

<strong>The</strong> linac slopes downward from <strong>the</strong> west end at a slope <strong>of</strong> approximately 0.005 (0.3”). <strong>The</strong> intention<br />

was to set out <strong>the</strong> baseline in such a manner that <strong>the</strong> CERN sockets atop <strong>the</strong> pillars follow a geometrical<br />

straight line ra<strong>the</strong>r than <strong>the</strong> earth’s curved surface, <strong>and</strong> that this line have <strong>the</strong> same slope as <strong>the</strong> linac. <strong>The</strong><br />

elevation for each socket was calculated by applying a curvature correction working outwards from B02,<br />

<strong>the</strong> $llar closest to <strong>the</strong> midpoint <strong>of</strong> <strong>the</strong> line, <strong>and</strong> using a slope <strong>of</strong> 0.00498382. However, this design was<br />

not finally achieved. Since it was found that <strong>the</strong> design location <strong>of</strong> B02 would place <strong>the</strong> pillar in a<br />

parking area, B02 was actually installed 10m closer to B03. New curvature corrections were not<br />

calculated, but <strong>the</strong> resultant error is minor (see Table 6).<br />

TABLE 2. <strong>The</strong> spacing <strong>of</strong> pillars on <strong>the</strong> <strong>SLAC</strong> baseline<br />

Pilh<br />

BOl<br />

B02<br />

B03<br />

B04<br />

B05<br />

B06<br />

B07<br />

B08<br />

B09<br />

BlO<br />

Bll<br />

B12<br />

B13<br />

B14<br />

B15<br />

B16<br />

B17<br />

B18<br />

B19<br />

B20<br />

Distaace from BOl<br />

(m)<br />

950<br />

1480<br />

1510<br />

1530<br />

1570<br />

1620<br />

1670<br />

1720<br />

1770<br />

1790<br />

1840<br />

1880<br />

1930<br />

1960<br />

1990<br />

2040<br />

2090<br />

2100<br />

2140<br />

Distance to next pillar<br />

(m)<br />

950<br />

530<br />

30<br />

20<br />

40<br />

50<br />

50<br />

50<br />

50<br />

20<br />

50<br />

40<br />

50<br />

30<br />

30<br />

50<br />

50<br />

10<br />

40<br />

Of <strong>the</strong> twenty pillars, only eleven are used for EDM calibrations (Table 3). <strong>The</strong> spacing <strong>of</strong> <strong>the</strong>se<br />

pillars is such as to provide a broad range <strong>of</strong> distances with no duplication (Table 4).<br />

18

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