Adjustable x-ray optics: correction for gravity-induced figure errors

Physics – Optics

Scientific paper

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Scientific paper

To extend the effective collecting area for future X-ray astronomy observatories, it is necessary to use highly nested, very thin glass shells. The capability to adjust the figure of these shells on-orbit is essential in order to achieve the present X-ray imaging capability, of order 1/2 arcsec resolution, which is provided to astronomers world-wide by the Chandra X-ray Observatory. We are pursuing concepts to carry out this adjustment using piezoelectric crystals deposited directly on the back sides of the reflectors, and divided into a pattern of discrete actuators by individually controlled electrodes. In this paper we carry out a simulation of how well gravity induced errors might be corrected by this process. We consider a conical glass piece 205 mm axially by 410 mm azimuthally, and with 1 m radius of curvature. We do a finite element analysis to calculate the influence function of each of a set of 20 × 20 piezo pixels. Then we apply a 1g force axially, using various constraint conditions, and calculate the coefficients of the set of influence functions such that the adjusted shape minimizes the slope errors.

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