Report - School of Physics
Report - School of Physics
Report - School of Physics
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ferential phase observations with a near-IR interferometer <strong>of</strong>fer a way to obtain<br />
spectra <strong>of</strong> extra-solar planets. The method makes use <strong>of</strong> the wavelength dependence<br />
<strong>of</strong> the interferometer phase <strong>of</strong> the planet/star system, which depends both on<br />
the interferometer geometry and on the brightness ratio between the planet and the<br />
star. The differential phase is strongly affected by instrumental and atmospheric<br />
dispersion effects. Difficulties in calibrating these effects might prevent the application<br />
<strong>of</strong> the differential phase method to systems with a very high contrast, such as<br />
extra-solar planets. A promising alternative is the use <strong>of</strong> spectrally resolved closure<br />
phases, which are immune to many <strong>of</strong> the systematic and random errors affecting<br />
the single-baseline phases.<br />
Figure 3 shows the predicted response <strong>of</strong> the AMBER instrument at the VLTI to<br />
a realistic model <strong>of</strong> the 51 Peg system, taking into account a theoretical spectrum<br />
<strong>of</strong> the planet as well as the geometry <strong>of</strong> the VLTI. Joergens & Quirrenbach (2004)<br />
have presented a strategy to determine the geometry <strong>of</strong> the planetary system and the<br />
spectrum <strong>of</strong> the extra-solar planet from such closure phase observations in two steps.<br />
First, there is a close relation between the nulls in the closure phase and the nulls in<br />
the corresponding single-baseline phases: every second null <strong>of</strong> a single-baseline phase<br />
is also a null in the closure phase. This means that the nulls in the closure phase<br />
do not depend on the spectrum but only on the geometry, so that the geometry <strong>of</strong><br />
the system can be determined by measuring the nulls in the closure phase at three<br />
or more different hour angles. In the second step, the known geometry can then be<br />
used to extract the planet spectrum directly from the closure phases.<br />
ALMA: ALMA is an interferometer in the mm-wavelength range, which will consist<br />
<strong>of</strong> sixty-four 12 m diameter antennae located in northern Chile, at 5050 m altitude.<br />
The antennae can be spaced from a compact configuration with a maximum separation<br />
<strong>of</strong> 150 m to a very extended configuration where the maximum spacing is<br />
16 km, providing a resolution <strong>of</strong> 10 milli-arcsec at shortest wavelengths. The receivers<br />
will cover the atmospheric windows in the 35–1000 GHz range (350 µm –<br />
7 mm) with a bandwidth <strong>of</strong> 8 GHz in two polarizations, and a resolution <strong>of</strong> 32000<br />
channels. ALMA will be powerful for studying the disks around young stars, able to<br />
image such disks out to several hundred parsecs, providing density and temperature<br />
pr<strong>of</strong>iles (through measurements <strong>of</strong> thermal dust emission), and providing constraints<br />
on disk dynamics and chemistry (through measurements <strong>of</strong> spectral lines). In the<br />
case <strong>of</strong> protoplanetary disks, ALMA will be able to image gaps and holes caused by<br />
protoplanets.<br />
In terms <strong>of</strong> direct detection <strong>of</strong> the planet themselves, however, ALMA is rather<br />
limited. At its best resolution (widest configuration), the system will be able to<br />
resolve a Jupiter-like planet from its star out to 100–150 pc. The main limitation<br />
comes from the flux <strong>of</strong> the planet. The best frequency for planet observation, which<br />
optimises the combination <strong>of</strong> expected detector noise characteristics, the spectrum <strong>of</strong><br />
the objects, and the site characteristics, is at 350 GHz. The flux density <strong>of</strong> the planet<br />
is directly related to their temperature, size and distance as F 350 = 6.10 −8 T R 2 J/D 2 ,<br />
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