Deep learning for estimation of Kirkpatrick–Baez mirror alignment errors

Xie, Jia-Nan; Jiang, Hui; Li, Ai-Guo; Tian, Na-Xi; Yan, Shuai; Liang, Dong-Xu; Hu, Jun

doi:10.1007/s41365-023-01282-4

Cited by 3 publications

(1 citation statement)

References 27 publications

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“…This method can quickly switch between different X-ray wavefronts without blocking or attenuating the X-ray beam. Combined with machine learning, the deformable mirror shape control algorithm based on data-driven modeling is also attractive, and can achieve surface shape precision control close to the X-ray diffraction limit (Gunjala et al, 2023) and high-precision beam alignment (Xie et al, 2023).…”

Section: Resultsmentioning

confidence: 99%

An active piezoelectric plane X-ray focusing mirror with a linearly changing thickness

Tian,

Jiang,

Xie

et al. 2024

J Synchrotron Radiat

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X-ray mirrors for synchrotron radiation are often bent into a curved figure and work under grazing-incidence conditions due to the strong penetrating nature of X-rays to most materials. Mirrors of different cross sections have been recommended to reduce the mirror's slope inaccuracy and clamping difficulty in order to overcome mechanical tolerances. With the development of hard X-ray focusing, it is difficult to meet the needs of focusing mirrors with small slope error with the existing mirror processing technology. Deformable mirrors are adaptive optics that can produce a flexible surface figure. A method of using a deformable mirror as a phase compensator is described to enhance the focusing performance of an X-ray mirror. This paper presents an active piezoelectric plane X-ray focusing mirror with a linearly changing thickness that has the ability of phase compensation while focusing X-rays. Benefiting from its special structural design, the mirror can realize flexible focusing at different focusing geometries using a single input driving voltage. A prototype was used to measure its performance under one-dimension and two-dimension conditions. The results prove that, even at a bending magnet beamline, the mirror can easily achieve a single-micrometre focusing without a complicated bending mechanism or high-precision surface processing. It is hoped that this kind of deformable mirror will have a wide and flexible application in the synchrotron radiation field.

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Section: Resultsmentioning

confidence: 99%

An active piezoelectric plane X-ray focusing mirror with a linearly changing thickness

Tian,

Jiang,

Xie

et al. 2024

J Synchrotron Radiat

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Multilayer Kirkpatrick-Baez focusing mirrors with phase compensation for sub-20 nm focusing at the hard X-ray nanoprobe beamline of SSRF

Jiang,

Xie,

et al. 2024

Opt. Express

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The hard X-ray nanoprobe beamline is the first beamline to take advantage of the full coherent beam to attain the nanoscale focusing at the Shanghai Synchrotron Radiation Facility (SSRF). Here we introduce the beamline and specially go over the features of the multilayer Kirkpatrick-Baez focusing system and its supporting phase compensator system. The performance and stability of the phase compensator are also put to the test. By using the speckle scanning metrology, the wavefront of a focused beam was characterized and intensity distribution near the focus was reconstructed. The focusing performance was greatly enhanced by two phase compensations based on a global optimization technique, and a two-dimensional focal spot of 26 nm × 17 nm was achieved and maintained with good stability.

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Adaptive multi-surrogate model for complex opto-mechanical system alignment

Wu,

Li,

Jia

2024

Opt. Express

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Owing to the inherent nonlinearity of surrogate models, they have been widely used in the alignment of complex opto-mechanical systems. Finding the most suitable surrogate model for misalignment wavefront errors is challenging. This study proposes an adaptive multi-surrogate model (AMSM) based on the concept of layer-by-layer approximation and adaptive selection and a compensation mechanism to facilitate the combination of the AMSM and non-dominated sorting genetic algorithm II (NSGA-II). For example, alignment simulations of an off-axis three-mirror anastigmatic (TMA) telescope and a catadioptric microscope objective were performed. The results show that the AMSM is well done in terms of approximate accuracy and efficiency. The application of the proposed method in the off-axis TMA telescope leads to 65.2% and 18.7% reductions in the full-field average RMS wavefront error compared with the traditional sensitivity table method (STM) and radial basis function (RBF) network surrogate model, respectively. Similarly, for the catadioptric microscope objective, there is a reduction of 43.5% and 22.4%, respectively. The AMSM will further promote the development of a surrogate model to align more complex and precise opto-mechanical systems.

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Deep learning for estimation of Kirkpatrick–Baez mirror alignment errors

Cited by 3 publications

References 27 publications

An active piezoelectric plane X-ray focusing mirror with a linearly changing thickness

An active piezoelectric plane X-ray focusing mirror with a linearly changing thickness

Multilayer Kirkpatrick-Baez focusing mirrors with phase compensation for sub-20 nm focusing at the hard X-ray nanoprobe beamline of SSRF

Adaptive multi-surrogate model for complex opto-mechanical system alignment

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