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Related Experiment Video

Updated: Apr 22, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Wavefront aberrations of x-ray dynamical diffraction beams.

Keliang Liao, Youli Hong, Weifan Sheng

|October 17, 2014

Summary

This study introduces new aberration polynomials for x-ray dynamical diffraction (DDT) beams, crucial for advanced optical testing and adaptive optics applications. These polynomials help accurately describe wavefront aberrations in complex x-ray optics.

Area of Science:

Optics and Photonics
X-ray Optics
Diffraction Theory

Background:

Wavefront aberrations in x-ray diffractive optics are challenging to model due to dynamical diffraction effects, limiting applications in optical testing and adaptive optics.
Existing aberration theories are not fully integrated with x-ray dynamical diffraction theory (DDT).

Purpose of the Study:

To theoretically investigate aberration properties of x-ray dynamical diffraction beams.
To develop generalized orthonormal aberration polynomials applicable to x-ray DDT.

Main Methods:

Generalized nonrecursive matrix method using the modulus of the complex envelope as an amplitude weight function.
Proposed Zernike DDT and Legendre DDT polynomials.
Numerical investigation of aberration evolution in a tilted multilayer Laue lens.

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Synthesis and Microdiffraction at Extreme Pressures and Temperatures

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Last Updated: Apr 22, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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$Synthesis and Microdiffraction at Extreme Pressures and Temperatures$

Synthesis and Microdiffraction at Extreme Pressures and Temperatures

Published on: October 7, 2013

Main Results:

Developed and proposed Zernike DDT and Legendre DDT polynomials.
Numerically obtained Legendre DDT polynomials for a specific x-ray optical system.
Demonstrated balanced aberrations that minimize classical aberration variance and discussed Strehl ratios.

Conclusions:

The proposed aberration polynomials provide a robust framework for analyzing wavefront aberrations in x-ray dynamical diffraction.
This work bridges the gap between diffraction theory of aberrations and x-ray DDT, enabling advancements in optical testing and adaptive optics.