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TPF-I SWG Report - Exoplanet Exploration Program - NASA

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C HAPTER 4<br />

4.5<br />

4<br />

3.5<br />

Response<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

0<br />

-0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5<br />

θ x / μrad<br />

0 π<br />

0.70<br />

1 2<br />

Beamtrain<br />

optics<br />

Single-mode<br />

spatial filter<br />

Planet photon rate / s -1<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

0.00<br />

0 1 2 3 4 5 6<br />

-0.10<br />

Array rotation angle / radians<br />

Figure 4-1. Single Bracewell configuration. The schematic of the interferometer is shown, lower<br />

left. A cross-section through the fringe response on the sky is shown, upper left. The fringe<br />

pattern is rotated around the star (hidden behind a central null) to detect a planet. The Planet<br />

follows the red locus as the array is rotated about line of sight to star, upper right; the<br />

corresponding photon rate vs. rotation angle is shown at lower right.<br />

These disadvantages are overcome with the Dual Bracewell configuration, an example of which is<br />

illustrated in Figure 4-2. There are now four collecting apertures. In this case, they are deployed along a<br />

line with equal spacing, phased as indicated. This configuration is essentially two single Bracewell<br />

baselines, which are then cross-combined with a third beam combiner with a relative phase shift of π / 2.<br />

The resulting response on the sky of this four-element phased array is shown in the top panel. The<br />

structure is more complex than before, and there is a clear left–right asymmetry. We will refer to this as<br />

the ‘left’ chop state, since there is a large peak in the response immediately to the left of the star.<br />

60

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