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TPF-C Technology Plan - Exoplanet Exploration Program - NASA

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Chapter 3<br />

(though not light-weight or off-axis) optics are compared in Figure 3-6 and fitted with a third<br />

order function given by<br />

A<br />

PSD(k) =<br />

⎛<br />

1+ k ⎞<br />

, where k = 3 ( k x) 2 + () k 2 5 2 2<br />

y<br />

, A ≈ 6× 10 Å cm , and k<br />

0<br />

= 0.025cycles/cm .<br />

⎜ ⎟<br />

⎝ k 0 ⎠<br />

The TDM is to be manufactured with a PSD amplitude a factor of 2.5 below the fitted curve. For<br />

5 2 2<br />

the TDM, k<br />

0<br />

= 0.04cycles/cm and A ≈ 2.4× 10 Å cm are required with a goal of<br />

A ≈ 6 ×10 4 Å 2 cm 2 . The performance requirements vary with spatial frequency as summarized in<br />

Table 3-1. Manufacturing process development for the TDM will address materials effects,<br />

structural integrity, thermal impacts, and measurement and test methods; coating process<br />

development will address spatial reflective uniformity and experimental determination of coating<br />

performance. Going through the process of fabricating and testing the TDM will provide insight<br />

into achievable performance for the <strong>TPF</strong>-C PM and SM.<br />

• Each of the three mirrors is optically finished<br />

using different methods<br />

• Black represents a third order drop<br />

off with a knee at 40cm<br />

Magellan<br />

Kodak<br />

HST<br />

Figure 3-6. Power spectral density for three mirrors: Magellan (left) 6.5 m and made at the<br />

University of Arizona Mirror Laboratory for ground-based astronomy, HST (middle), and a 1.5-<br />

m development optic made at Kodak (right). PSD for the TDM is 2.5 times lower.<br />

34

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