The mirror design for the International X-ray Observatory (IXO) is currently following two paths: a segmented
slumped glass shell Wolter-I design, and a Silicon Pore Optics (SPO) conical approximation to the Wolter-I
design. The conical approximation used for the SPO imposes a lower limit to the angular resolution which puts
this option at a potential disadvantage. In this paper we describe ways in which this can be circumvented.
We analyse the surface profile modifications that can be made to lift this limitation and show that a much
closer approximation to the Wolter I ideal is possible. We describe several ways in which a much tighter
angular resolution limit could be achieved in practice and discuss ways in which this can be implemented in the
manufacture of the SPO.
Different optical designs are under consideration for the International X-ray Observatory (IXO). In this paper we show
results of simulations of the segmented shell Wolter-I design, of the Silicon Pore Optics (SPO) conical Wolter-I
approximation and of the Silicon based Kirkpatrick-Baez design. We focus particularly on the issue of stray light. When
a source is off axis, such that it is not imaged on the detector, some of its light may still be directed by the optics onto the
detector plane. Sources close to the pointing direction can thereby introduce an extra background radiation level in the
detectors. This phenomenon is investigated by numerical ray tracing of the three designs, yielding detector images of the
stray light, and an indication of which part of the mirror that light originates. Results show the similarities and
differences of the designs with respect to stray light, and give a quantitative indication of the level of background
radiation in different cases. Furthermore, for the Silicon Pore Optics design, two different ways of partially blocking the
stray light have been modelled, indicating that a reduction of the stray light can be achieved. In general, the results that
have been found indicate that for the simulated set-ups the stray light levels are compliant with the design specifications
of the International X-ray Observatory.
A method of constructing a large aperture grazing incidence X-ray telescope utilizing the Kirkpatrick-Baez (K-B)
geometry is described. Two crossed stacks of flat, wedged Silicon plates comprise a single optical unit which
provides focusing to a angular resolution limit set by the plate separation within the stacks. If high precision
Silicon wafers are used and the focal length is large, an angular resolution of a few arc seconds is achievable. As
a refinement an angular resolution at the limit imposed by the K-B geometry could be met if the plates were
very slightly curved to the correct parabolic profile along the axial direction. A tessellation of a large number
of identical or nearly identical stacks over a spherical aperture plane can provide a very large collecting area
and high angular resolution suitable for the International X-ray Observatory (IXO) or similar X-ray astronomy
applications. The optical design operates in a similar way to the lobster eye geometry and unlimited extension
of the aperture coverage (tessellation) can provide a very large field of view suitable for all-sky monitoring.
It is proposed that the primary mirror for the X-ray observatory XEUS has an angular resolution of ~2 arc seconds, and is
constructed using a new type of pore optics manufactured from Silicon. The point spread function of such optics results
from the summed effect of millions of pores and is limited by a combination of geometrical optics, diffraction and
scattering. In the case of XEUS, all three effects are of importance, as diffraction dominates at lower energies. Reaching
this ambitious resolution goal is a major challenge of the mission. We present analytical and numerical calculations
which provide a prediction of the point spread function including inherent geometric and diffraction effects associated
with the pore geometry, manufacturing/figuring errors, misalignments and surface roughness. The rough reflecting
surface of one pore is modelled as a number of planar patches. The wave fronts reflected from these patches are
propagated to the detector plane, taking into account geometrical and diffraction effects over the whole energy range.
Summation of these wave fronts gives us a general analytical point spread function for a pore. In a computationally
intensive step numerical values are then applied and the point spread function calculated. First results are shown for one
pore and in one dimension (radially).
Imaging for exo-planet detection requires both high contrast and a small inner working angle. We show that, for several
of the techniques proposed so far to achieve this, the inner working angle can be reduced by adding pupil replication
between the telescope and the high contrast imaging system. Using pupil replication, the on-axis image of the star is
decreased to a size smaller than the diffraction limit of the telescope, and off axis the point spread function of the planet
undergoes minor changes, contained within the envelope of the point spread function of the telescope; the spectrum
remains unchanged. The principle of pupil replication was proven experimentally and can be effected by a small-sized,
high throughput optical system added between the telescope and the high contrast imaging system. High contrast
imaging systems to which pupil replication has been found to be applicable so far include apodisation techniques like
pupil apodisation, aperture masks, image plane masks, coronagraphs and combinations. Mathematical assessment and
simulations of the sensitivity of pupil replication to optical errors show that the requirements for this system are the
same as those for the primary telescope - pupil replication effectively remaps the output pupil of the telescope to the
input pupil of the high contrast imaging system.
Our results in this paper aim to show, in a realistic set-up, the feasibility of an improvement of the inner working angle
by a factor of 4 using four-fold replication optics while maintaining the contrast performance. We do this through
analysis of the pupil replication principle including off axis behavior when applied to high contrast imaging systems
using pupil apodisation or a shaped mask. We specifically look at the situations similar to that of the Terrestrial Planet
Finder Coronagraph and Darwin. We found that an inner working angle of 30 mas can be achieved with a contrast of
10-10 and a large field of view without increasing the requirements except for the pointing.
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