Imaging by parabolic refractive lenses in the hard X-ray range

The manufacture and properties of compound refractive lenses (CRLs) for hard X-rays with parabolic profile are described. These novel lenses can be used up to ∼60 keV. A typical focal length is 1 m. They have a geometrical aperture of 1 mm and are best adapted to undulator beams at synchrotron radiation sources. The transmission ranges from a few % in aluminium CRLs up to about 30% expected in beryllium CRLs. The gain (ratio of the intensity in the focal spot relative to the intensity behind a pinhole of equal size) is larger than 100 for aluminium and larger than 1000 for beryllium CRLs. Due to their parabolic profile they are free of spherical aberration and are genuine imaging devices. The theory for imaging an X-ray source and an object illuminated by it has been developed, including the effects of attenuation (photoabsorption and Compton scattering) and of the roughness at the lens surface. Excellent agreement between theory and experiment has been found. With aluminium CRLs a lateral resolution in imaging of 0.3 µm has been achieved and a resolution below 0.1 µm can be expected for beryllium CRLs. The main fields of application of the refractive X-ray lenses are (i) microanalysis with a beam in the micrometre range for diffraction, fluorescence, absorption, scattering; (ii) imaging in absorption and phase contrast of opaque objects which cannot tolerate sample preparation; (iii) coherent X-ray scattering.

[1]  Irina Snigireva,et al.  Bragg—Fresnel Optics for High-Energy X-Ray Microscopy Techniques at the ESRF , 1998 .

[2]  D. Bilderback,et al.  Nanometer spatial resolution achieved in hard x-ray imaging and Laue diffraction experiments. , 1994, Science.

[3]  Brauer,et al.  X-ray intensity fluctuation spectroscopy observations of critical dynamics in Fe3Al. , 1995, Physical review letters.

[4]  R. Sillitto The Quantum Theory of Light , 1974 .

[5]  L. Grodzins,et al.  Critical absorption tomography of small samples: Proposed applications of synchrotron radiation to computerized tomography II , 1983 .

[6]  Jing Hao Figure , 1972, Analysing Scientific Discourse From a Systemic Functional Linguistic Perspective.

[7]  Alexander E. Kaplan,et al.  Optical physics (A) , 1986 .

[8]  Anatoly Snigirev,et al.  High energy X-ray phase contrast microscopy using a circular Bragg-Fresnel lens , 1997 .

[9]  Jochen R. Schneider,et al.  Properties and scientific perspectives of a single pass X-ray free-electron laser , 1997 .

[10]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[11]  Andrew G. Glen,et al.  APPL , 2001 .

[12]  B. L. Henke,et al.  X-Ray Interactions: Photoabsorption, Scattering, Transmission, and Reflection at E = 50-30,000 eV, Z = 1-92 , 1993 .

[13]  E. D. Isaacs,et al.  Compound refractive optics for the imaging and focusing of low-energy neutrons , 1998, Nature.

[14]  Gerhard Grübel,et al.  Dynamics of Block Copolymer Micelles Revealed by X-Ray Intensity Fluctuation Spectroscopy , 1997 .

[15]  Meier,et al.  Photon Correlation Spectroscopy of Colloidal Palladium Using a Coherent X-Ray Beam. , 1996, Physical review letters.

[16]  F Busch,et al.  X-ray microtomography (microCT) using phase contrast for the investigation of organic matter. , 1997, Journal of computer assisted tomography.

[17]  B. Lengeler,et al.  A microscope for hard x rays based on parabolic compound refractive lenses , 1999 .

[18]  B. Lengeler,et al.  A compound refractive lens for focusing high-energy X-rays , 1996, Nature.

[19]  James H. Underwood,et al.  X-ray microprobe using multilayer mirrors , 1988 .

[20]  Irina Snigireva,et al.  TRANSMISSION AND GAIN OF SINGLY AND DOUBLY FOCUSING REFRACTIVE X-RAY LENSES , 1998 .

[21]  B. Lengeler,et al.  Determination of the dispersive correction f'(E) to the atomic form factor from X‐ray reflection , 1992 .

[22]  Reginald W. James,et al.  The Optical principles of the diffraction of X-rays , 1948 .

[23]  B. Yang Fresnel and refractive lenses for X-rays , 1993 .