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TPF-I SWG Report - Exoplanet Exploration Program - NASA

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T E C H N O L O G Y R OADMAP FOR <strong>TPF</strong>-I<br />

Table 6-5. Desired Measurement Capabilities for Desired Targets<br />

Ancillary<br />

Science Target<br />

Protostar<br />

(envelope, disk,<br />

outflow)<br />

Interesting<br />

Physical<br />

Scales<br />

Typical<br />

Distance<br />

Interesting Angular Scales<br />

(arcsec)<br />

Desired<br />

Resolution<br />

1 – 10 4 AU 140 pc 0.007 70<br />

Desired FOV<br />

Debris disk 1 – 300 AU 3.2 pc (e Eri) 0.3 93<br />

30 pc 0.03 10<br />

Extragalactic<br />

Giant H II<br />

Region<br />

Coma cluster<br />

galaxy<br />

High-z<br />

protogalaxy<br />

1 – 100 pc 5 Mpc 0.04 4<br />

0.01 - 10 kpc 107 Mpc 0.02 19<br />

1/100th source<br />

to separation<br />

between<br />

merging<br />

systems<br />

N/A 0.01 4<br />

The idea behind the double Fourier technique is that a Michelson stellar interferometer equipped with a<br />

pupil-plane beamcombiner and a scanning optical delay line can be operated like a Fourier transform<br />

spectrometer (FTS). Instead of providing only a visibility measurement for the interferometer baseline<br />

established by the collecting aperture locations, such a device produces an interferogram whose 1-D<br />

Fourier transform is the spectrum of the target scene on the spatial scales to which the interferometer is<br />

sensitive. Combined, the interferograms from all the baselines provide a three-dimensional data cube<br />

where the cube has two spatial and one spectral dimension, like the data from the integral field units<br />

discussed above.<br />

Using a conventional double-Fourier system, a <strong>TPF</strong> interferometer with 4-m diameter collectors operating<br />

at λ = 10 μm with a maximum baseline of 300 m could image a 0.6-arcsec diameter FOV at 4.8-mas<br />

spatial resolution. This field of view would be inadequate for the science programs mentioned above.<br />

However, the Wide-field Imaging Interferometry Testbed (WIIT) at <strong>NASA</strong>’s Goddard Space Flight<br />

Center was designed to develop and demonstrate a technique for wide-field (i.e., FOV >> 1.2λ/D)<br />

imaging in which a detector array is used to enhance the spatial multiplexing efficiency (Leisawitz et al.<br />

2003). In this design, light from field angles θ >> 1.2λ/D relative to the principal axis of the<br />

interferometer focuses onto additional pixels in a detector array, which records interferograms shifted by<br />

a geometric delay corresponding to |b| times the sine of the component of θ aligned with the baseline<br />

vector b. The field of view accessible to an interferometer like WIIT is given by θ FOV = N pix θ p /2, where<br />

θ p = 1.2λ/D is the primary beam diameter, N pix is the number of pixels along one dimension of the<br />

detector array, and the factor 2 allows for Nyquist sampling of the primary beam. For a 256 2 pixel array<br />

153

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