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[fig1.eps]Arrangement of components in the optical train for pupil-plane quadrant imaging. Only the slit and quadrant masks need to be removed to ready the system for astronomical imaging. 

[fig2.eps]Charge-shuffled long-slit spectrum of a Cu-Ar lamp over $\lambda \lambda 730$-788 nm. Shown (from top to bottom) are lines at 750.90 (doublet), 772.40 (doublet) and 763.51 nm. Wavelength does not increase sequentially along this frame due to order wrap-around.

[fig3.eps]Demonstration of how plate tilts are measured and adjusted using three quadrant masks. Only the central portions of each full charge shuffle image are shown and each shuffle step is an increase of 8 Å or $\sim \lambda /1140$. Panel (a) indicates a small offset in the y-direction only. Panel (b) shows the degraded appearance of lines at much larger offset. Panel (c) demonstrates the alignment of all lines and attainment of parallelism. The uneven illumination between panels is due to the poorly diffused internal lamp.

[fig4.eps]Side view showing the parameters that quantify plate tilt in the x-direction. Also shown (inset) is the convention used in labelling quadrants by their $(p,q) \in \{ (\pm 1, \pm 1) \}$ value.

[fig5.eps](a) Four scans of blended Ne lines at the narrowest TTF plate spacings. The lines are only partially resolved at the largest gap and have been labelled with their wavelengths in nanometres. (b) Values of $m_{\rm T}/m$ for the orders measured in (a). The rise in this ratio towards lower gap demonstrates the increasing importance of wavelength-dependent phase change at the lower limits of TTF operation. The dotted lines show $m_{\rm T}/m$ calculated for wavelengths of 0.8 and 0.85 $\mu $m.


Table: Values of the phase correction term ($\epsilon _\lambda $) and related coefficient for the red TTF coatings. Measurements of $\epsilon _\lambda $ made by Queensgate Instruments.
$\lambda$ (nm) $\frac{\epsilon_\lambda}{\pi}$ $\biggl( \frac{\lambda}{2 \mu} \frac{\epsilon_\lambda}{\pi} \biggr)$
650 -0.83 -0.23
700 -0.69 -0.26
750 -0.50 -0.19
800 -0.29 -0.12
850 +0.32 +0.13
900 +0.70 +0.31
950 +0.94 +0.45

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Joss Bland-Hawthorn