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TPF-I SWG Report - Exoplanet Exploration Program - NASA

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 />

6.4.3 Spectral Resolution<br />

Spectral resolution plays an important role both in allowing<br />

robust spectroscopy and also in aperture synthesis imaging,<br />

where the bandpass must be restricted to avoid “bandwidth<br />

smearing” distortion. Bandwidth smearing sets a minimum<br />

spectral resolution for imaging all objects within a single<br />

‘primary beam’ (truly, the minimum field-of-view<br />

requirement): the requirement on spectral resolving power, i.e.,<br />

R ~ λ / Δλ ≥ B / D, where λ is the wavelength, Δλ is the<br />

bandpass, B is the baseline length, and D is the diameter of the<br />

telescopes in the array. For 200-m baselines (12.5 mas<br />

resolution at 10 μm) and 4-m telescopes (primary beam of<br />

FWHM ~ 0.6”), we see that R > 40. This resolution can be<br />

obtained with a simple prism or grism that would likely be part<br />

of any detection system. Even extending the baseline to 1 km<br />

(2.5-mas resolution) would only require R > 200 spectrograph<br />

for imaging.<br />

While this minimum spectral resolution for imaging is easy to<br />

achieve, higher spectral resolution in the infrared would be<br />

invaluable for many other scientific goals. A special combiner<br />

for general astrophysics (suggested in the last section) could<br />

host a spectrograph with multiple levels of dispersion<br />

depending on the science goal.<br />

Figure 6-11. Beam combiner for pairwise<br />

combination.<br />

While it may difficult to obtain high spectral resolution (R>20000) for space-based telescopes due to<br />

weight and payload size limitations, the science gains from resolving ro-vibrational lines themselves<br />

could be immense by combining this kinematic information with the high angular resolution of the<br />

interferometer. As an alternative to deploying an echelle spectrograph, the interferometer could be used<br />

in a Fourier-transform spectrometer (FTS) mode to allow high-spectral-resolution interferometric<br />

observations, a potential gold-mine of information to probe the many mid-IR transitions of diatomic and<br />

polyatomic molecules associated with star formation and the extragalactic interstellar medium.<br />

6.4.4 Beam Combination and Field-of-View (FOV)<br />

There are readily available and proven techniques for imaging the entire field-of-view of the primary<br />

beam. However, this is a very small beam for <strong>TPF</strong>-I (~0.6″ at 10 μm) and thus would impose large costs<br />

in observing time to image a large FOV (such as Hubble Deep Field or nearby galaxies). Despite this<br />

limitation, the science case laid out in Chapter 3 is clearly transformational, resolving otherwise point-like<br />

objects across our Galaxy and indeed across the Universe. In this section we discuss options for imaging<br />

with <strong>TPF</strong>-I and explore ways to optimize the potential.<br />

With a symmetric rotating array of four telescopes arranged in either a line or a rectangle, there are only<br />

three fully independent baselines. All of the necessary beam combinations can be generated with a<br />

straightforward two-level four-beam combiner, as shown in Figure 6-11. Indeed, one of the outputs is in<br />

fact redundant (allowing for application of this output to the lowest signal-to-noise combination). If<br />

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