A proposal for a collecting mirror assembly for large divergence x-ray sources

Satoshi Ichimaru; Masatoshi Hatayama; Tadayuki Ohchi; Satoshi Oku

doi:10.1364/AO.53.007348

Applied Optics
Vol. 53,
Issue 31,
pp. 7348-7354
(2014)
•https://doi.org/10.1364/AO.53.007348

A proposal for a collecting mirror assembly for large divergence x-ray sources

Satoshi Ichimaru, Masatoshi Hatayama, Tadayuki Ohchi, and Satoshi Oku

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Satoshi Ichimaru, Masatoshi Hatayama, Tadayuki Ohchi, and Satoshi Oku, "A proposal for a collecting mirror assembly for large divergence x-ray sources," Appl. Opt. 53, 7348-7354 (2014)

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Abstract

We propose a new type of collecting mirror assembly (CMA) for x rays, which will enable us to build a powerful optical system for collecting x rays from large divergence sources. The CMA consists of several mirror sections connected in series. The angle of each section is designed so that the x rays reflected from it are parallel to the x rays directly incident on the following sections. A simplified CMA structure is designed and applied to the $Al - K α$ emission line. It is estimated that by using the CMA the number of x rays detected could be increased by a factor of about 2.5.

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Number of mirror section N		3	4	5	6	7
Number of units of small divergence angle $ω$		2	1.2	0.8	0.57	0.43
Grazing incident angle $α_{i}$	1	1.5	0.9	0.6	0.43	0.32
	2	2.5	1.5	1	0.71	0.54
	3	—	2.1	1.4	1.00	0.75
	4		—	1.8	1.29	0.96
	5			—	1.57	1.18
	6				—	1.39
	7					—

No	Angle				Structure				Collection Power
I	$Δ θ_{i}$	$Ω_{i}$	$α_{i}$	$θ_{i}$	$k_{i}$	$L_{i}$	$x_{i}$	$y_{i}$	$R_{i}$	$T_{i}$	$Δ θ_{i} \cos θ_{i}$	$I_{i}$	$I_{i} T_{i}$
1	0.57	12.00	0.43	11.71	5.00	1	$9.78 \times 10^{- 1}$	$2.08 \times 10^{- 1}$	0.968	0.550	0.010	0.163	0.090
2	1.14	11.43	0.71	10.86	9.00	5.00	4.90	$9.91 \times 10^{- 1}$	0.945	0.567	0.020	0.328	0.186
3	1.71	10.29	1.00	9.43	13.00	$4.50 \times 10^{1}$	$4.43 \times 10$	8.03	0.915	0.600	0.030	0.493	0.296
4	2.29	8.57	1.29	7.43	16.99	$5.85 \times 10^{2}$	$5.78 \times 10^{2}$	$8.72 \times 10$	0.868	0.656	0.040	0.661	0.434
5	2.86	6.29	1.57	4.86	20.99	$9.94 \times 10^{3}$	$9.88 \times 10^{3}$	$1.09 \times 10^{3}$	0.756	0.756	0.050	0.831	0.628
6	3.43	3.43	—	1.71		$2.09 \times 10^{5}$	$2.08 \times 10^{5}$	$1.25 \times 10^{4}$			0.060	1.000	1.000

Number of mirror section N		3	4	5	6	7
Number of units of small divergence angle $ω$		2	1.2	0.8	0.57	0.43
Grazing incident angle $α_{i}$	1	1.5	0.9	0.6	0.43	0.32
	2	2.5	1.5	1	0.71	0.54
	3	—	2.1	1.4	1.00	0.75
	4		—	1.8	1.29	0.96
	5			—	1.57	1.18
	6				—	1.39
	7					—

No	Angle				Structure				Collection Power
I	$Δ θ_{i}$	$Ω_{i}$	$α_{i}$	$θ_{i}$	$k_{i}$	$L_{i}$	$x_{i}$	$y_{i}$	$R_{i}$	$T_{i}$	$Δ θ_{i} \cos θ_{i}$	$I_{i}$	$I_{i} T_{i}$
1	0.57	12.00	0.43	11.71	5.00	1	$9.78 \times 10^{- 1}$	$2.08 \times 10^{- 1}$	0.968	0.550	0.010	0.163	0.090
2	1.14	11.43	0.71	10.86	9.00	5.00	4.90	$9.91 \times 10^{- 1}$	0.945	0.567	0.020	0.328	0.186
3	1.71	10.29	1.00	9.43	13.00	$4.50 \times 10^{1}$	$4.43 \times 10$	8.03	0.915	0.600	0.030	0.493	0.296
4	2.29	8.57	1.29	7.43	16.99	$5.85 \times 10^{2}$	$5.78 \times 10^{2}$	$8.72 \times 10$	0.868	0.656	0.040	0.661	0.434
5	2.86	6.29	1.57	4.86	20.99	$9.94 \times 10^{3}$	$9.88 \times 10^{3}$	$1.09 \times 10^{3}$	0.756	0.756	0.050	0.831	0.628
6	3.43	3.43	—	1.71		$2.09 \times 10^{5}$	$2.08 \times 10^{5}$	$1.25 \times 10^{4}$			0.060	1.000	1.000

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Applied Optics