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X-ray optics for the cavity-based X-ray free-electron laser

MetadataDetails
Publication Date2024-06-21
JournalJournal of Synchrotron Radiation
AuthorsPeifan Liu, P. C. Pradhan, Xianbo Shi, D. Shu, Keshab Kauchha
InstitutionsArgonne National Laboratory, SPring-8
Citations4
AnalysisFull AI Review Included

Technical Documentation: X-ray Optics for Cavity-Based XFEL (CBXFEL)

Section titled “Technical Documentation: X-ray Optics for Cavity-Based XFEL (CBXFEL)”

6CCVD Analysis of J. Synchrotron Rad. (2024). 31, 751-762


This research validates the critical role of ultra-high-quality Single Crystal Diamond (SCD) optics in achieving fully coherent, high-brilliance X-ray sources via the Cavity-Based X-ray Free-Electron Laser (CBXFEL) scheme.

  • Core Achievement: Successful design, manufacturing, and characterization of diamond Bragg mirrors (C2-C4) achieving near-100% reflectivity at 9.831 keV (400 reflection).
  • Material Validation: Type-IIa diamond crystals were confirmed as the ideal material due to their superlative properties, including high thermal conductivity, low thermal expansion, and exceptional wavefront preservation.
  • Ultra-Precision Requirements: Optical components met stringent specifications, including a Bragg-plane slope error (BPSE) of $\le 0.2$ ”rad $\cdot$ mm-2 and an RMS wavefront phase error of $\le \lambda/70$ over the 100 ”m x 100 ”m beam footprint.
  • Advanced Fabrication: Demonstrated successful fabrication of thin SCD drumhead membranes (15-20 ”m thick) for X-ray output coupling (C1), ensuring mechanical stability and strain-free mounting.
  • 6CCVD Relevance: The extreme quality and precise dimensional control required for these SCD components align perfectly with 6CCVD’s core capabilities in custom MPCVD diamond growth, ultra-polishing (Ra < 1 nm), and precision machining.

The following hard data points were extracted from the research paper detailing the requirements and performance of the diamond optical components.

ParameterValueUnitContext
Photon Energy (E0)9.83102keVCBXFEL Operating Energy
Diamond Reflection400BraggCavity Mirrors (C1-C4)
Bragg Angle ($\Theta_{H}$)45.0°Nominal Reflection Angle
SCD Plate Thickness (C2-C4)500 $\pm$ 100”mHigh-Reflectivity Mirrors
SCD Membrane Thickness (C1)15 - 20”mX-ray Outcoupling Drumhead
Required Reflectivity (C2-C4)$\ge 99$%Intra-Cavity Mirrors
Outcoupling Transmissivity (C1)2 - 7%Via thin membrane
Surface Roughness (Ra)$\lt 5$nmPolished SCD Surfaces
Bragg-Plane Slope Error (BPSE)$\le 0.2$”rad $\cdot$ mm-2Required over 2 mm x 2 mm working area
RMS Wavefront Phase Error$\le \lambda/70$r.m.s.Required over 100 ”m x 100 ”m footprint
Crystal Miscut Angle ($\eta$)$\le 0.3$°Angle between (400) planes and surface
Cavity Round-Trip Length65.50mTotal X-ray path
Si Monochromator Bandwidth (660)20meVNarrowest bandwidth for diagnostics

The fabrication and characterization of the ultra-high-quality diamond optics involved a multi-step process focused on minimizing strain and maximizing crystalline perfection.

  1. Material Selection: High-quality Type-IIa diamond crystals (HPHT grown) were selected, characterized by an almost flawless 2 mm x 2 mm working area.
  2. Pre-Screening: Initial quality assessment utilized quasi-plane wave X-ray topography (SPring-8) to identify almost-defect-free regions.
  3. Precision Machining: Selected plates ($\sim 7$ mm x 7 mm) were cut into rectangular plates ($\sim 4$ mm x 5 mm) using laser cutting, incorporating two strain-relief cuts to protect the working area.
  4. Drumhead Fabrication (C1): Laser ablation was used to create the thin (15-20 ”m) membranes for output coupling, forming a monolithic drumhead structure for stable, strain-free mounting.
  5. Strain Removal: All laser-machined diamond plates were subjected to annealing at $\sim 630$ °C in air to efficiently remove crystal strain induced by the cutting process.
  6. Quality Characterization:
    • Rocking-Curve Imaging (RCI): Used to map Full-Width Half-Maximum (FWHM) and Center-of-Mass (COM) values, confirming BPSE $\le 0.2$ ”rad $\cdot$ mm-2 in the working area.
    • At-Wavelength Wavefront Sensing (WS): Used in Bragg diffraction geometry to measure the RMS wavefront phase error, confirming performance better than $\lambda/65$.
  7. Alignment Reference: A separate diamond crystal (Cx) was used in 440 exact Bragg backscattering geometry for accurate intra-cavity photon energy calibration and initial angular alignment of the cavity crystals.

The CBXFEL project demands diamond optics with unparalleled crystalline quality, dimensional precision, and surface finish. 6CCVD’s advanced MPCVD capabilities are uniquely positioned to meet and exceed these stringent requirements for next-generation X-ray optics and FEL systems.

To replicate or extend this research, 6CCVD recommends the following materials:

  • Optical Grade Single Crystal Diamond (SCD): Required for the high-reflectivity Bragg mirrors (C2-C4) and the drumhead outcoupler (C1). 6CCVD’s MPCVD SCD offers Type-IIa purity equivalent or superior to the HPHT material used, ensuring minimal absorption and maximum thermal stability under high radiation flux.
  • Custom Thin SCD Wafers: Essential for the drumhead membrane (C1). 6CCVD offers SCD thickness control from 0.1 ”m up to 500 ”m, allowing precise tuning of outcoupling transmissivity (2-7% achieved here with 15-20 ”m thickness).

6CCVD provides the necessary engineering and fabrication services to produce the complex optical components described:

Requirement from Paper6CCVD CapabilityTechnical Advantage
Ultra-Low Surface Roughness (Ra $\lt 5$ nm required)Precision Polishing: Guaranteed Ra < 1 nm (SCD).Superior wavefront preservation and reduced scattering losses, exceeding the paper’s requirement.
Custom Dimensions (7 mm x 7 mm plates, 2 mm x 2 mm working area)Custom Dimensions: Plates/wafers up to 125 mm (PCD) and custom SCD sizes.Ability to supply larger source material and precision-cut final components with strain-relief geometry.
Drumhead Structure / Strain ReliefPrecision Laser Machining: In-house laser cutting and ablation services.Capability to fabricate complex geometries, including thin membranes and strain-relief cuts, essential for maintaining the required BPSE ($\le 0.2$ ”rad $\cdot$ mm-2).
Substrate Thickness (500 ”m plates, 15-20 ”m membranes)Thickness Control: SCD available from 0.1 ”m to 500 ”m (wafers) and substrates up to 10 mm.Direct control over Bragg reflection properties and outcoupling efficiency.
Metalization for Mounting/DiagnosticsInternal Metalization: Capability to deposit Au, Pt, Pd, Ti, W, Cu.Although bare diamond was used for the mirrors, 6CCVD can apply custom metal layers for stable mounting, thermal contact, or integrated diagnostics.

The successful implementation of CBXFEL optics relies on precise material selection and detailed knowledge of X-ray diffraction physics.

  • 6CCVD’s in-house PhD engineering team specializes in advanced X-ray optics and high-power thermal management. We can assist researchers in material selection, optimizing crystal orientation (e.g., 400 Bragg reflection at 45°), and determining optimal thickness for specific photon energies (e.g., 9.831 keV) for similar X-ray Free-Electron Laser (XFEL) and Synchrotron Optics projects.
  • We offer consultation on achieving ultra-low strain mounting solutions necessary to maintain the required Bragg-plane slope error and wavefront quality.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

A cavity-based X-ray free-electron laser (CBXFEL) is a possible future direction in the development of fully coherent X-ray sources. CBXFELs consist of a low-emittance electron source, a magnet system with several undulators and chicanes, and an X-ray cavity. The X-ray cavity stores and circulates X-ray pulses for repeated FEL interactions with electron pulses until the FEL reaches saturation. CBXFEL cavities require low-loss wavefront-preserving optical components: near-100%-reflectivity X-ray diamond Bragg-reflecting crystals, outcoupling devices such as thin diamond membranes or X-ray gratings, and aberration-free focusing elements. In the framework of the collaborative CBXFEL research and development project of Argonne National Laboratory, SLAC National Accelerator Laboratory and SPring-8, we report here the design, manufacturing and characterization of X-ray optical components for the CBXFEL cavity, which include high-reflectivity diamond crystal mirrors, a diamond drumhead crystal with thin membranes, beryllium refractive lenses and channel-cut Si monochromators. All the designed optical components have been fully characterized at the Advanced Photon Source to demonstrate their suitability for the CBXFEL cavity application.