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  • Open Access

Focusing characteristics of cylindrically bent Laue crystals

Yu-Hang Wang1,*, Ming Li2,3, and Quan-Jie Jia2,†

  • *Contact author: wangyuhang@mail.iasf.ac.cn
  • †Contact author: jiaqj@ihep.ac.cn
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Phys. Rev. Research 8, L032001 – Published 6 July, 2026

DOI: https://doi.org/10.1103/f1jk-13c4

Abstract

Based on paraxial optics and the Takagi-Taupin theory, we establish an analytical framework for cylindrically bent Laue crystals that treats them as bulk diffraction devices and decomposes their behavior into geometric, kinematical, and higher-order scattering contributions. In this framework, we derive three fundamental results: a conservation relation accounting for aperture effects, a monochromatic focusing condition, and a polychromatic focusing condition. We further clarify the origin and limitations of common focusing conditions derived from geometric-optics arguments. These results deepen the fundamental understanding of bent Laue crystals and reshape their design logic, paving the way for practical applications.

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Phys. Rev. Research 8, L032001– Published 6 July, 2026
  • Received 2 February 2026
  • Accepted 10 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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