Filament diameter measurement system based on dual diffraction

Songtao Yang; Bo Chen; Bin Lin; Xiangqun Cao

doi:10.3788/COL201513.120501

Journals >Chinese Optics Letters >Volume 13 >Issue 12 >Page 120501 > Article

Chinese Optics Letters
Vol. 13, Issue 12, 120501 (2015)

Filament diameter measurement system based on dual diffraction

Songtao Yang^1、2、*, Bo Chen³, Bin Lin^1、2、**, and Xiangqun Cao^1、2

Author Affiliations

¹CNERC for Optical Instruments, Zhejiang University, Hangzhou 310027, China

²State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, China

³Public Security Department of Zhejiang Province, Hangzhou 310007, China

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DOI: 10.3788/COL201513.120501 Cite this Article Set citation alerts

Songtao Yang, Bo Chen, Bin Lin, Xiangqun Cao. Filament diameter measurement system based on dual diffraction[J]. Chinese Optics Letters, 2015, 13(12): 120501 Copy Citation Text

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$Filament diameter measurement system based on dual diffraction (it reverts back to a traditional diffraction system if the filter and the grating are removed).$

Fig. 1. Filament diameter measurement system based on dual diffraction (it reverts back to a traditional diffraction system if the filter and the grating are removed).

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$Setup of a filament diameter measurement system based on dual diffraction.$

Fig. 2. Setup of a filament diameter measurement system based on dual diffraction.

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$Diffraction of dual diffraction method measured by line camera (100.2 μm).$

Fig. 3. Diffraction of dual diffraction method measured by line camera (100.2 μm).

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$Diffraction of traditional method measured by line camera (100.2 μm).$

Fig. 4. Diffraction of traditional method measured by line camera (100.2 μm).

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	$m$
$n$	1	2	3	4	5	6	7	8
1	2.74	2.02	1.72	1.55	1.45	1.38	1.33	1.29
2	4.51	3.04	2.44	2.12	1.91	1.77	1.67	1.59
3	6.27	4.07	3.17	2.69	2.38	2.17	2.01	1.89
4	8.06	5.11	3.91	3.26	2.85	2.56	2.36	2.20
5	9.87	6.16	4.66	3.84	3.33	2.97	2.71	2.51
6	11.71	7.24	5.43	4.44	3.81	3.38	3.07	2.83
7	13.59	8.33	6.21	5.05	4.31	3.81	3.44	3.16
8	15.51	9.46	7.01	5.67	4.82	4.24	3.82	3.49
9	17.48	10.61	7.83	6.31	5.35	4.69	4.21	3.84
10	19.51	11.80	8.68	6.97	5.90	5.15	4.61	4.20

Table 1. Theoretical Values of Magnification for Different m and n

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	Dual Diffraction Method				Traditional Diffraction Method
Nominal Diameter $a_{0} / μm$	$a_{avg} / μm$	$σ$	$Δ a / μm$	$Δ a / a_{0}$ (%)	$a_{avg} / μm$	$σ$	$Δ a / μm$	$Δ a / a_{0}$ (%)
100.2	99.5	0.0006	0.7	0.70	102.4	0.0017	2.2	2.30
120.1	121.0	0.0004	0.9	0.75	121.8	0.0020	1.7	1.42
140.8	141.6	0.0012	0.8	0.58	142.0	0.0036	1.2	0.86
Average	–	0.0007	0.8	0.68	–	0.0024	1.7	1.53

Table 2. Comparison of Measurements by the Dual Diffraction Method and the Traditional Method

Songtao Yang, Bo Chen, Bin Lin, Xiangqun Cao. Filament diameter measurement system based on dual diffraction[J]. Chinese Optics Letters, 2015, 13(12): 120501

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