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Distributed focusing reduces mirror error sensitivity on x-ray beamlines

Pickworth, Louisa A. LU and Sankari, Rami LU (2023) In Applied Optics 62(16). p.4327-4333
Abstract

The appearance of very low emittance, high-power synchrotron sources has resulted in ever longer beamlines, often requiring a very weak curvature on the mirrors that transport the beam to the experiment, where the radius of curvature is on the order of kilometers. Manufacturing weakly curved, low figure error grazing incidence mirrors is difficult as the mirrors must be manufactured to an accuracy comparable to the wavelength of the transmitted light. Often the delivered mirrors have figure errors at various length scales (general shape, slope errors, roughness), which compromise image quality. An error in general shape, like the radii of a toroidal mirror, results in longsighted or short-sighted imaging that is not so simply corrected... (More)

The appearance of very low emittance, high-power synchrotron sources has resulted in ever longer beamlines, often requiring a very weak curvature on the mirrors that transport the beam to the experiment, where the radius of curvature is on the order of kilometers. Manufacturing weakly curved, low figure error grazing incidence mirrors is difficult as the mirrors must be manufactured to an accuracy comparable to the wavelength of the transmitted light. Often the delivered mirrors have figure errors at various length scales (general shape, slope errors, roughness), which compromise image quality. An error in general shape, like the radii of a toroidal mirror, results in longsighted or short-sighted imaging that is not so simply corrected by changing the distances and incidence angles as the mirror controls the beam focus in both vertical and horizontal directions; for a toroidal mirror, the tangential and sagittal radii need to match correctly for the desired focusing effect. Adaptive downstream optics can compensate for this. In this paper, an alternative method to reduce the sensitivity to a large radius error outside the specified tolerance range in the first mirror of a plane grating monochromator beamline at MAX IV is presented. It is found that distributed focusing by two passive, fixed radius mirrors reduces greatly the sensitivity to the radius errors in both mirrors. The radius tolerance of a mirror initially found to be unacceptable for single stage focusing is easily accommodated on both mirrors in distributed focusing, without compromising the imaging capability.

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author
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organization
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type
Contribution to journal
publication status
published
subject
in
Applied Optics
volume
62
issue
16
pages
7 pages
publisher
Optical Society of America
external identifiers
  • scopus:85162208692
  • pmid:37706924
ISSN
1559-128X
DOI
10.1364/AO.482601
language
English
LU publication?
yes
id
23665ff4-2972-4ea0-b271-0d8e63885795
date added to LUP
2023-09-18 14:04:17
date last changed
2024-06-14 06:27:42
@article{23665ff4-2972-4ea0-b271-0d8e63885795,
  abstract     = {{<p>The appearance of very low emittance, high-power synchrotron sources has resulted in ever longer beamlines, often requiring a very weak curvature on the mirrors that transport the beam to the experiment, where the radius of curvature is on the order of kilometers. Manufacturing weakly curved, low figure error grazing incidence mirrors is difficult as the mirrors must be manufactured to an accuracy comparable to the wavelength of the transmitted light. Often the delivered mirrors have figure errors at various length scales (general shape, slope errors, roughness), which compromise image quality. An error in general shape, like the radii of a toroidal mirror, results in longsighted or short-sighted imaging that is not so simply corrected by changing the distances and incidence angles as the mirror controls the beam focus in both vertical and horizontal directions; for a toroidal mirror, the tangential and sagittal radii need to match correctly for the desired focusing effect. Adaptive downstream optics can compensate for this. In this paper, an alternative method to reduce the sensitivity to a large radius error outside the specified tolerance range in the first mirror of a plane grating monochromator beamline at MAX IV is presented. It is found that distributed focusing by two passive, fixed radius mirrors reduces greatly the sensitivity to the radius errors in both mirrors. The radius tolerance of a mirror initially found to be unacceptable for single stage focusing is easily accommodated on both mirrors in distributed focusing, without compromising the imaging capability.</p>}},
  author       = {{Pickworth, Louisa A. and Sankari, Rami}},
  issn         = {{1559-128X}},
  language     = {{eng}},
  number       = {{16}},
  pages        = {{4327--4333}},
  publisher    = {{Optical Society of America}},
  series       = {{Applied Optics}},
  title        = {{Distributed focusing reduces mirror error sensitivity on x-ray beamlines}},
  url          = {{http://dx.doi.org/10.1364/AO.482601}},
  doi          = {{10.1364/AO.482601}},
  volume       = {{62}},
  year         = {{2023}},
}