Genuine-field modeling of partially coherent X-ray imaging systems

Verhoeven, Antonie; Hellmann, Christian; Wyrowski, Frank; Idir, Mourad; Turunen, Jari

doi:10.1107/s1600577520006979

J Synchrotron Radiat

2020

DOI: 10.1107/s1600577520006979

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Genuine-field modeling of partially coherent X-ray imaging systems

Antonie Verhoeven

Christian Hellmann²,

Frank Wyrowski

et al.

Abstract: A genuine representation of the cross-spectral density function as a superposition of mutually uncorrelated, spatially localized modes is applied to model the propagation of spatially partially coherent light beams in X-ray optical systems. Numerical illustrations based on mode propagation with VirtualLab software are presented for imaging systems with ideal and non-ideal grazing-incidence mirrors.

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Cited by 2 publications

References 36 publications

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Measurement of spatial coherence of light [Invited]

Turunen¹,

Halder²,

Koivurova³

et al. 2022

J. Opt. Soc. Am. A

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The most frequently used experimental techniques for measuring the spatial coherence properties of classical light fields in the space–frequency and space–time domains are reviewed and compared, with some attention to polarization effects. In addition to Young’s classical two-pinhole experiment and several of its variations, we discuss methods that allow the determination of spatial coherence at higher data acquisition rates and also permit the characterization of lower-intensity light fields. These advantages are offered, in particular, by interferometric schemes that employ only beam splitters and reflective elements, and thereby also facilitate spatial coherence measurements of broadband fields.

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Measurement of spatial coherence of light [Invited]

Turunen¹,

Halder²,

Koivurova³

et al. 2022

J. Opt. Soc. Am. A

View full text Add to dashboard Cite

show abstract

Manufacturability-based optical design optimization for advanced Kirkpatrick–Baez X-ray focusing mirrors

Huang,

Wang,

Yamada

et al. 2024

Opt. Express

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The advanced Kirkpatrick–Baez (AKB) mirror setup is an effective and compelling solution to provide stable X-ray nano-focusing for synchrotron radiation or free-electron laser beamlines. We propose an AKB mirror design optimization approach to mitigate the difficulties associated with mirror fabrication by minimizing the total slope ranges of the four curved mirrors while achieving the expected focusing performance. In the optimization, we have considered geometry constraints to ensure the beam acceptance with the required clear aperture, the diffraction-limited focal size with the adequate numerical aperture, and the desired mirror gaps for adjustment and the necessary working distance for the sample stage. Additionally, practical constraints linked to mirror metrology and fabrication, such as mirror length limits and curvature uncertainty in measurement, are taken into account. Furthermore, progressive objective optimization eliminates the need for any initial guess, fully automating the AKB optimization process. This approach facilitates the development of an elegant Wolter-I or Wolter-III type AKB design solution that satisfies these multiple constraints. In cases where constraints cannot be simultaneously satisfied, the optimization results provide valuable insights into areas where trade-offs need to be considered. Simulations with ray tracing and wavefront propagation validate the optimized AKB design showing high tolerance to the beam incident angle.

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Genuine-field modeling of partially coherent X-ray imaging systems

Cited by 2 publications

References 36 publications

Measurement of spatial coherence of light [Invited]

Measurement of spatial coherence of light [Invited]

Manufacturability-based optical design optimization for advanced Kirkpatrick–Baez X-ray focusing mirrors

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