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TPF-I SWG Report - Exoplanet Exploration Program - NASA

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D ESIGN AND A R C H I T E C T U R E T RADE S TUDIES<br />

4 Design and Architecture Trade Studies<br />

There are many different ways in which a mid-IR nulling interferometer can be implemented, each with<br />

strengths and weaknesses. This chapter describes the main issues involved and the trade study that was<br />

conducted to select the best configuration. The first section describes the principle of operation of a<br />

nulling interferometer observing planets around nearby stars. Section 4.2 introduces the performance<br />

models that are used to assess the capability of each design. The configurations considered are outlined in<br />

Section 4.3. Subsequent sections address key elements of the trade: aperture diameter and array size<br />

(Section 4.4), co-planar vs. non-co-planar arrays (Section 4.5), beam combiner design (Section 4.6), the<br />

impact of stray light (Section 4.7), the nature and mitigation of instability noise (Section 4.8), and the<br />

imaging properties of these phased arrays (Section 4.9). These elements are all combined in the trade<br />

study that was conducted in 2004 to select the best architecture as summarized in Section 4.10.<br />

4.1 Principle of Operation<br />

In this section we describe how planet photons can be isolated from their parent star using a nulling<br />

interferometer.<br />

Figure 4-1 shows the simplest nulling interferometer – the single Bracewell configuration – proposed by<br />

Bracewell in 1979. This comprises two collecting apertures separated by baseline length B, phased such<br />

that the light from an on-axis source is canceled in the single-mode spatial filter at the beam combiner<br />

output. This is the nulled or dark output port; all the on-axis photons exit from the bright port to the left of<br />

the figure. To implement this scheme requires that a phase difference of π, independent of wavelength,<br />

be introduced between the two arms. The corresponding response of the interferometer on the sky is<br />

shown in both upper panels. It is a sinusoidal corrugation with a null running through the star at the<br />

center, and an angular periodicity of λ / B. If the array is rotated about the line of sight to the star, then<br />

this corrugated pattern rotates with respect to the star and the offset planet. While the star remains on the<br />

null, the planet follows the circular locus and the detected planet photon rate (lower right) rises and falls<br />

as the peaks and troughs of the response sweep through the location of the planet. The main disadvantage<br />

of the single Bracewell configuration is that the response on the sky is symmetric. As a result there is<br />

ambiguity in the location of the planet, the exozodiacal dust emission can have a similar signature to the<br />

planet, and (most important) it is not possible to implement an effective chopping scheme.<br />

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