Aberration-free imaging of inelastic scattering spectra with x-ray echo spectrometers. (arXiv:1812.06969v1 [physics.ins-det])
<a href="http://arxiv.org/find/physics/1/au:+Rio_M/0/1/0/all/0/1">Manuel S&#xe1;nchez del R&#xed;o</a>, <a href="http://arxiv.org/find/physics/1/au:+Shvydko_Y/0/1/0/all/0/1">Yuri Shvyd&#x27;ko</a>

We study conditions for aberration-free imaging of inelastic x-ray scattering
(IXS) spectra with x-ray echo spectrometers.

Aberration-free imaging is essential for achieving instrumental functions
with high resolution and high contrast. Computational ray tracing is applied to
a thorough analysis of a 0.1-meV/0.07-nm$^{-1}$-resolution echo-type IXS
spectrometer operating with 9-keV x-rays. We show that IXS spectra imaged by
the x-ray echo spectrometer that uses lenses for the collimating and focusing
optics are free of aberrations. When grazing-incidence mirrors (paraboloidal,
parabolic Kirkpatrick-Baez, or parabolic Montel) are used instead of the
lenses, the imaging system reveals some defocus aberration that depends on the
inelastic energy transfer. However, the aberration-free images can be still
recorded in a plane that is tilted with respect to the optical axis. This
distortion can be thus fully compensated by inclining appropriately the x-ray
imaging detector, which simultaneously improves its spatial resolution. A full
simulation of imaging IXS spectra from a realistic sample demonstrates the
performance of the proposed designs.

We study conditions for aberration-free imaging of inelastic x-ray scattering
(IXS) spectra with x-ray echo spectrometers.

Aberration-free imaging is essential for achieving instrumental functions
with high resolution and high contrast. Computational ray tracing is applied to
a thorough analysis of a 0.1-meV/0.07-nm$^{-1}$-resolution echo-type IXS
spectrometer operating with 9-keV x-rays. We show that IXS spectra imaged by
the x-ray echo spectrometer that uses lenses for the collimating and focusing
optics are free of aberrations. When grazing-incidence mirrors (paraboloidal,
parabolic Kirkpatrick-Baez, or parabolic Montel) are used instead of the
lenses, the imaging system reveals some defocus aberration that depends on the
inelastic energy transfer. However, the aberration-free images can be still
recorded in a plane that is tilted with respect to the optical axis. This
distortion can be thus fully compensated by inclining appropriately the x-ray
imaging detector, which simultaneously improves its spatial resolution. A full
simulation of imaging IXS spectra from a realistic sample demonstrates the
performance of the proposed designs.

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