Abstract

Due to their short wavelength, X-rays can in principle be focused down to a few nanometres and below. At the same time, it is this short wavelength that puts stringent requirements on X-ray optics and their metrology. Both are limited by today’s technology. In this work, we present accurate at wavelength measurements of residual aberrations of a refractive X-ray lens using ptychography to manufacture a corrective phase plate. Together with the fitted phase plate the optics shows diffraction-limited performance, generating a nearly Gaussian beam profile with a Strehl ratio above 0.8. This scheme can be applied to any other focusing optics, thus solving the X-ray optical problem at synchrotron radiation sources and X-ray free-electron lasers.

Highlights

  • Due to their short wavelength, X-rays can in principle be focused down to a few nanometres and below

  • Creating small and intense X-ray beams is crucial to confine the beam and concentrate the radiation onto the sample. This would require diffractionlimited X-ray optics with high numerical aperture (NA) that are at the same time stable in the intense X-ray freeelectron lasers (XFELs) pulses[1]

  • It is largely insensitive to small shape and surface inaccuracies of a few mm and can correct residual aberrations originating from surface errors of reflective optics, zone deformations in diffractive optics and accumulated surface errors in larger refractive lens stacks

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Summary

Introduction

Due to their short wavelength, X-rays can in principle be focused down to a few nanometres and below. We present accurate at wavelength measurements of residual aberrations of a refractive X-ray lens using ptychography to manufacture a corrective phase plate. Together with the fitted phase plate the optics shows diffraction-limited performance, generating a nearly Gaussian beam profile with a Strehl ratio above 0.8 This scheme can be applied to any other focusing optics, solving the X-ray optical problem at synchrotron radiation sources and X-ray freeelectron lasers. We present a general scheme to assess aberrations of an X-ray optical system under working conditions and correct them by introducing an appropriate X-ray phase plate into the optical path to achieve diffraction-limited focusing. The detailed knowledge of the complex wavefield was used to fabricate a corrective phase plate that compensates for the aberrations and creates a diffractionlimited focus when introduced into the beam following the lens. The method can be applied very generally to solve the X-ray focusing problem at synchrotron radiation sources and XFELs and will affect fields as diverse as X-ray microscopy and highresolution imaging[17,18], serial crystallography[19,20], creating matter in extreme conditions[21], nonlinear X-ray optics[22] and single-molecule imaging[23]

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