High quality quasi-parallel x-ray microbeams based on a parabolic capillary

Hao Wen; Hao Wen; Mo Zhou; Mo Zhou; Yiming Wu; Yiming Wu; Tianyu Yuan; Tianyu Yuan; Zhiguo Liu; Zhiguo Liu

doi:10.1364/AO.450639

Applied Optics
Vol. 61,
Issue 13,
pp. 3656-3662
(2022)
•https://doi.org/10.1364/AO.450639

High quality quasi-parallel x-ray microbeams based on a parabolic capillary

Hao Wen, Mo Zhou, Yiming Wu, Tianyu Yuan, and Zhiguo Liu

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Hao Wen, Mo Zhou, Yiming Wu, Tianyu Yuan, and Zhiguo Liu, "High quality quasi-parallel x-ray microbeams based on a parabolic capillary," Appl. Opt. 61, 3656-3662 (2022)

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Abstract

High quality quasi-parallel x-ray microbeams have an appreciable application value in the x-ray diffraction analysis technique, which is currently one of the most significant non-destructive analysis techniques. A simulation of a parabolic single capillary is carried out based on the Monte Carlo simulation toolkit Geant4. The simulation results show that it is feasible to obtain high quality quasi-parallel x-ray microbeams based on a parabolic capillary and a traditional laboratorial x-ray source. We manufacture a parabolic capillary based on the simulation results. The physical parameters of the obtained x-ray beams are characterized by building an x-ray imaging system. The experimental results show that the x-ray beam with submicrometer size and almost zero divergence can be obtained from the traditional laboratorial x-ray source by utilizing a parabolic single capillary as a collimator.

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Data availability

Data underlying the results presented in this paper are not publicly available at this time but can be obtained from the authors upon reasonable request.

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Type of x rays	$z = \frac{{(r^{2} + p^{2})}^{2} + (r^{2} - p^{2}) \sqrt{r^{4} + p^{4} + 6 r^{2} p^{2}}}{8 p r^{2}} .$ rays of $K_{α}$ anode
Direction of x rays	20° isotropic solid angle
Direction of polarization	Isotropy
Number of x rays	$C u$
Energy of x rays (keV)	8.048
Type of object surface	Polished
Physical process	G4EmStandardPhysics_option4; G4OpticalPhysics
Optical model	UNIFIED
Material of parabolic capillary	Borosilicate glass
Radius of the input aperture of parabolic capillary (mm)	0.58
Radius of the output aperture of parabolic capillary (mm)	0.74
Length of parabolic capillary (mm)	36.22
Distance from the detector to the center of output aperture (mm)	100
Distance from the x-ray source to the center of input aperture (mm)	66.946
Side length of BS (mm)	0.72
Distance from the source to BS (mm)	51.585
Area of detector ( $1 \times 10^{7}$ )	${m m}^{2}$

Voltage of source (kV)	20
Current of source (mA)	0.2
Distance from the source to the center of input aperture (mm)	18
Distance from the detector to the center of output aperture (mm)	135
Time of exposure (s)	6

Type of Optics	Divergence (mrad)	Approximate Area ( $631.5 µ m \times 201.5 µ m$ )	Shape
Poly-capillary quasi-parallel lens [17]	1.745	$µ m^{2}$	Hexagon
Convergent lens [18]	30	$5800 \times 5800$	Ellipse
Parabolic capillary	0.78	$260 \times 260$	Arc

Type of x rays	$z = \frac{{(r^{2} + p^{2})}^{2} + (r^{2} - p^{2}) \sqrt{r^{4} + p^{4} + 6 r^{2} p^{2}}}{8 p r^{2}} .$ rays of $K_{α}$ anode
Direction of x rays	20° isotropic solid angle
Direction of polarization	Isotropy
Number of x rays	$C u$
Energy of x rays (keV)	8.048
Type of object surface	Polished
Physical process	G4EmStandardPhysics_option4; G4OpticalPhysics
Optical model	UNIFIED
Material of parabolic capillary	Borosilicate glass
Radius of the input aperture of parabolic capillary (mm)	0.58
Radius of the output aperture of parabolic capillary (mm)	0.74
Length of parabolic capillary (mm)	36.22
Distance from the detector to the center of output aperture (mm)	100
Distance from the x-ray source to the center of input aperture (mm)	66.946
Side length of BS (mm)	0.72
Distance from the source to BS (mm)	51.585
Area of detector ( $1 \times 10^{7}$ )	${m m}^{2}$

Voltage of source (kV)	20
Current of source (mA)	0.2
Distance from the source to the center of input aperture (mm)	18
Distance from the detector to the center of output aperture (mm)	135
Time of exposure (s)	6

Abstract

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Equations (11)

Applied Optics