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The Size, Structure, and Variability of Late-Type Stars Measured ...

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9<br />

the Pacific Ocean nearby. A more complete description <strong>of</strong> the telescopes can be found in<br />

Hale et al. (2000) [37].<br />

<strong>The</strong> interferometer employs heterodyne detection whereby the starlight is mixed<br />

with a CO 2 laser (local oscillator) beam by matching wavefronts <strong>and</strong> focussing both beams<br />

onto a cooled photodiode sensitive to 11 µm radiation. <strong>The</strong> beat signal between the laser<br />

<strong>and</strong> starlight has frequency equal to the difference in their frequencies <strong>and</strong> contains all <strong>of</strong><br />

the phase information from the stellar signal. <strong>The</strong> detector <strong>and</strong> electronics have a passb<strong>and</strong><br />

up to about 3 GHz, so the net b<strong>and</strong>pass used to observe the star lies within the range<br />

[ν LO −3 GHz,ν LO +3 GHz], where ν LO can be chosen to be any <strong>of</strong> a set <strong>of</strong> discrete CO 2 lines<br />

between 9.5 <strong>and</strong> 11.5 µm. <strong>The</strong> two lasers in the telescopes are locked to each other having<br />

a controlled phase difference. After delaying one <strong>of</strong> the beat signals to compensate for the<br />

extra path length to the farthest telescope, the fringe is formed electronically by multiplying<br />

the two beat signals from each telescope. <strong>The</strong> fringe, modulated by the (known) frequency<br />

difference between the lasers, is digitized <strong>and</strong> recorded to disk. A simplified schematic <strong>of</strong><br />

the ISI is shown in Figure 1.4. <strong>The</strong> ISI system is much more complex than described above<br />

<strong>and</strong> a thorough description can be found in Hale et al. (2000) [37].<br />

Heterodyne detection, used by the ISI, can have a better signal to noise ratio than<br />

direct detection (forming fringes directly from starlight) when very narrow b<strong>and</strong>widths are<br />

employed. Additionally, in an interferometric array <strong>of</strong> many telescopes, stellar signals need<br />

to be split into enough beams to form fringes with every other telescope. Using direct<br />

detection, this entails a loss <strong>of</strong> signal to noise. With heterodyne detection, the signals are<br />

electronic radio frequencies <strong>and</strong> can be amplified freely before splitting without losing signal<br />

to noise. A more thorough discussion <strong>of</strong> signal to noise in the ISI compared with direct<br />

detection is found in Monnier (1999) [72] or Hale et al. (2000) [37].<br />

Before 1999, the longest baseline used by the ISI was 30 m. This baseline implies a<br />

resolution typical <strong>of</strong> the circumstellar shells <strong>of</strong> nearby AGB stars. Almost all <strong>of</strong> the science<br />

done with the ISI before 1999 pertained to the structure <strong>of</strong> the dust shells <strong>and</strong> molecular<br />

regions in the circumstellar environment surrounding AGB stars. Much <strong>of</strong> the dust shell<br />

work can be found in Danchi et al. (1994) [22] <strong>and</strong> the interferometry on molecular lines in<br />

Monnier (1999) [72].

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