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TPF-I SWG Report - Exoplanet Exploration Program - NASA

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C HAPTER 5<br />

5.8.4 Angular Resolution and Imaging<br />

The imaging properties of nulling arrays are discussed in Section 4.9. Angular resolution—essentially the<br />

width of the main peak in the point spread function—is distinct from the IWA discussed in Section 5.8. A<br />

key feature of the stretched X-array is its excellent angular resolution, resulting from the long imaging<br />

baselines. Figure 5-25 compares synthesized dirty maps for the regular X-array 2:1 and the stretched X-<br />

array 6:1. The IWA is the same in each case, but the angular resolution is improved by a factor of 3. The<br />

angular resolution scales linearly with wavelength and is inversely proportional to the array size, as<br />

illustrated in Table 5-3.<br />

High angular resolution is highly desirable for (1) separating the contributions of multiple planets; (2)<br />

rapid and unambiguous orbit determinations; and (3) discrimination against lumps in the exozodiacal<br />

disk.<br />

For previous arrays with relatively poor angular resolution, image deconvolution was considered to be a<br />

major issue, since there can be substantial overlap between the PSFs of different sources. Sidelobes and<br />

satellite peaks can combine to produce false peaks or mutually cancel and prevent detection. The greatly<br />

enhanced angular resolution of the stretched X-array (Fig. 5-25b) minimizes these overlaps, and it should<br />

go a long way to retiring these issues.<br />

Figure 5-25. (a) Dirty map of two planets (indicated by the × symbols), synthesized from multichannel<br />

observations of an X-array 2:1 array configuration (70 × 35 m); (b) Equivalent dirty map<br />

for the stretched X-array 6:1 configuration (210 × 35 m).<br />

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