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TPF-C Technology Plan - Exoplanet Exploration Program - NASA

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Chapter 2<br />

Error Budget Validation<br />

Given the critical role of the CEB, it is necessary to validate that the budget is properly<br />

constructed and captures all the important errors and interactions. The error budget is based on<br />

linear sensitivity matrices, meaning that the contrast contribution caused by errors from each<br />

source can be added directly to calculate a total error as described below. This approach allows<br />

straightforward scaling and modification, and is chosen because of its simplicity and suitability<br />

for sensitivity analysis. It remains to be validated through end-to-end models designed to<br />

capture the non-linear effects arising from propagation of diffraction. The error budget is<br />

finalized and validated before the end of Phase B through a combination of testbed results and<br />

end-to-end system models that address each item in the error budget tree. The level and method<br />

by which each item or set of items is to be addressed is determined by the end of Phase A.<br />

Error Budget Structure<br />

The <strong>TPF</strong> coronagraph contrast error budget comprises the static (initial wavefront setting at the<br />

start of an observation) and dynamic (any changes to the wavefront during an observation) terms<br />

that contribute to image plane contrast. Static terms include wavefront sensing and control<br />

(WFSC), stray light, coronagraph mask imperfections, and polarization leakage. Dynamic terms<br />

include motion of an optic or bending of an optic due to vibrations or thermal effects. Figure 2-2<br />

shows the structure of the error budget including reserve factors, mean image plane contrast, and<br />

the standard deviation of contrast as detailed below.<br />

Initial work has focused on the dynamic part of the error budget. It was assumed based on<br />

Figure 2-2. Error Budget Tree<br />

22

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