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Chapter 5 Robust Performance Tailoring with Tuning - SSL - MIT

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PSD OPD14 [m 2 /Hz]<br />

CumulativeOPD14 [m 2 ]<br />

2<br />

1<br />

0<br />

10 −15<br />

10 −20<br />

10 −25<br />

10 −30<br />

x 10 −16<br />

10 −2<br />

10 −1<br />

3.06 Hz<br />

10 0<br />

Frequency [Hz]<br />

10 1<br />

6 Hz<br />

7.55 Hz<br />

Figure 6-7: Output PSD and cumulative variance from nominal TPF SCI design.<br />

Table 6.9: Critical modes of nominal TPF SCI design.<br />

Mode # Freq. [Hz] % Energy (app.). Description<br />

4 1.07 < 1 truss 1 st bending<br />

7 3.06 88.00 truss 2 nd bending<br />

13 5.99 2.42 collector 1 st bending (potato-chip)<br />

18 7.55 16.7 truss 3 rd bending<br />

2 Hz, but does not contribute appreciably to the OPD since it is symmetric and the<br />

path lengths change equally on each arm of the interferometer. Additional critical<br />

modes under 10 Hz are listed in Table 6.9. The cluster of modes around 6Hz are<br />

due to local bending modes of the primary mirrors as shown in Figure 6-8(c). The<br />

third bending mode at 7.55 Hz (Figure 6-8(d)) is also a significant contributor. It is<br />

interesting to note that, although this model is higher-fidelity than the development<br />

model presented in <strong>Chapter</strong> 2, the global behavior is similar in that the second bending<br />

mode is the most critical.<br />

195<br />

10 2

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