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Abstract

In recent years, the X-ray interferometer using dual phase gratings has been extensively studied. The large periodic fringes produced by the X-ray interferometer using dual phase gratings can be directly detected by ordinary detectors. At the same time, the X-ray interferometer using dual phase gratings can reduce the radiation dose of the sample without using absorption gratings. Meanwhile, a high fringe visibility is always preferred to achieve a high signal-to-noise ratio for X-ray grating interferometry. However, recent studies have reported that experimental fringe visibility in X-ray interferometer using dual rectangular phase gratings is relatively low. Therefore, it is necessary to further increase the fringe visibility in X-ray interferometry using dual phase gratings. This work focuses on the analysis of fringe visibility in X-ray interferometer using dual triangular phase gratings. Based on the fringe intensity distribution formula of X-ray dual phase grating interferometer, the fringe visibility of the dual triangular phase grating interferometer is investigated as a function of the grating spacing under monochromatic and polychromatic illumination, respectively. For comparison, the fringe visibility of the dual rectangular phase grating interferometer is also studied under the same condition. The results show that the maximum fringe visibility of the dual triangular phase grating interferometer increases with the phase shift increasing regardless of monochromatic or polychromatic illumination. Under monochromatic illumination, the maximum fringe visibility of dual 5π/2 triangular phase gratings is about 21% higher than that of dual rectangular phase gratings. Under polychromatic illumination, the fringe visibility of dual 5π/2 triangular phase gratings is at least 23% higher than that of dual rectangular phase gratings. Under polychromatic illumination, the greater the deviation of X-ray average energy from the grating design energy, the greater the decrease of maximum fringe visibility of the dual phase grating interferometer is. In addition, with the increase of the focal size of X-ray source, the maximum fringe visibility of the dual phase grating interferometer decreases, under polychromatic illumination. We hope that those results can be used as guidelines for designing and optimizing X-ray interferometer using dual triangular phase gratings.

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Authors and contacts

Corresponding author:Wang Zhi-Li,dywangzl@hfut.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 11475170, U1532113, 11905041), the Fundamental Research Fund for the Central Universities, China (Grant No. JZ2022HGTB0244), and the Natural Science Foundation of Anhui Province, China (Grant No. 2208085MA18).

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参数	双三角形相位光栅					双矩形相位光栅
参数	π/2	π	3π/2	2π	5π/2	π/2	π
$ {V_{\text{p}}} $	0.25	0.48	0.64	0.68	0.74	0.34	0.61
s/mm	9.8	6.6.	4.8	3.7	3.0	10.8	3.7
W/mm	12.1	9.1	5.8	4.9	3.4	12.0	3.8

DownLoad: CSV

参数	双三角形相位光栅					双矩形相位光栅
参数	π/2	π	3π/2	2π	5π/2	π/2	π
$ {V_{\text{p}}} $	0.25	0.41	0.56	0.58	0.63	0.30	0.51
s/mm	9.1	6.5	4.5	3.6	2.8	10.9	3.5
W/mm	12.3	10.4	6.8	5.5	4.2	15.0	4.0

DownLoad: CSV

光源峰值电压/kV	参数	双三角形相位光栅					双矩形相位光栅
光源峰值电压/kV	参数	π/2	π	3π/2	2π	5π/2	π/2	π
55	$ {V_{\text{p}}} $	0.20	0.32	0.37	0.41	0.42	0.22	0.28
	s/mm	67.9	37.3	35.6	26.7	19.5	25.7	37.3
	W/mm	117.3	96.3	81.5	69.3	67.6	44.8	52.9
75	$ {V_{\text{p}}} $	0.14	0.27	0.31	0.34	0.37	0.16	0.25
	s/mm	71.0	40.1	38.9	29.4	27.5	26.7	37.4
	W/mm	116.7	105.7	96.6	85.8	79.9	51.8	53.6
95	$ {V_{\text{p}}} $	0.11	0.20	0.26	0.29	0.32	0.13	0.22
	s/mm	76.5	41.4	45.4	43.6	32.1	26.7	38.8
	W/mm	116.7	111.3	104.1	98.3	92.1	55.3	54.1

DownLoad: CSV

光源焦点尺/µm	参数	双三角形相位光栅					双矩形相位光栅
光源焦点尺/µm	参数	π/2	π	3π/2	2π	5π/2	π/2	π
7	$ {V_{\text{p}}} $	0.20	0.32	0.37	0.41	0.42	0.22	0.28
	s/mm	67.9	37.3	35.6	26.7	19.5	25.7	37.3
	W/mm	117.3	96.3	81.5	69.3	67.6	44.8	52.9
25	$ {V_{\text{p}}} $	0.14	0.25	0.31	0.34	0.38	0.17	0.17
	s/mm	48.6	35.0	28.3	24.9	21.6	21.5	28.3
	W/mm	75.8	66.2	61.3	57.5	54.5	34.3	43.3
40	$ {V_{\text{p}}} $	0.10	0.19	0.26	0.31	0.34	0.12	0.11
	s/mm	36.2	29.2	24.1	21.1	19.3	17.9	21.1
	W/mm	52.5	49.1	46.3	44.1	42.3	27.9	25.4

DownLoad: CSV

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Vol. 72, Issue 14 - 2023-07-20

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