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Related Concept Videos

Reflection of Waves01:07

Reflection of Waves

When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...

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Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
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Soft X-ray wavefront sensing at an ellipsoidal mirror shell.

Christoph Braig1, Jürgen Probst2, Heike Löchel2

  • 1Institute of Applied Photonics e.V., Rudower Chaussee 29/31, 12489 Berlin, Germany.

Journal of Synchrotron Radiation
|June 6, 2024
PubMed
Summary
This summary is machine-generated.

A new in situ method uses X-ray wavefront sensing to characterize optical elements. This technique accurately measures wavefront errors for improved X-ray mirror alignment and corrector design.

Keywords:
X-ray opticsellipsoidal mirrorfocus reconstructionslope errorsurface characterizationwavefront sensing

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Area of Science:

  • Optics and X-ray Science
  • Metrology and Instrumentation

Background:

  • Characterizing rotationally symmetric optical elements in the soft X-ray domain requires reliable in situ methods.
  • Accurate wavefront sensing is crucial for high-resolution X-ray science applications.

Purpose of the Study:

  • To develop and report a novel in situ wavefront sensing technique for soft X-ray optics.
  • To enable precise characterization of optical elements like ellipsoidal mirror shells.
  • To facilitate improved alignment of X-ray mirrors and design of wavefront correctors.

Main Methods:

  • Irradiation of a mirror sample with a micro-sized, electron-excited fluorescence source (Carbon Kα).
  • Recording 3D intensity distribution using a CCD camera at two positions near the focus.
  • Implementing a ray tracing code based on the transport-of-intensity equation to retrieve phase from intensity gradients.

Main Results:

  • Wavefront error map obtained with an r.m.s. value of ±10.9λ₀ and peak-to-valley of ±31.3λ₀.
  • Reconstructed focus diameter of 38.4 µm, closely matching experimental observation (39.4 µm FWHM).
  • Characterization of ellipsoid figure and slope errors with ±1.14 µm and ±8.8 arcsec (r.m.s.), respectively.

Conclusions:

  • The developed in situ method provides reliable wavefront sensing in the soft X-ray domain.
  • The technique enables accurate characterization of optical element errors and focus properties.
  • Findings support precise alignment of X-ray mirrors and the design of wavefront correctors for advanced X-ray science.