• Chinese Optics Letters
  • Vol. 13, Issue 12, 120501 (2015)
Songtao Yang1、2、*, Bo Chen3, Bin Lin1、2、**, and Xiangqun Cao1、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 show less

    Abstract

    This Letter proposes a brand-new filament diameter measurement method based on what is called “dual diffraction,” in that a grating is added behind the filament to make full use of its subdivision and amplification characteristics. Higher measurement accuracy is achieved by this method compared with the traditional diffraction method. To verify its accuracy, three standard filaments with nominal values of 100.2, 120.1, and 140.8 μm are measured by the dual diffraction method and traditional diffraction method under the same experimental conditions. The relative measurement errors of the new method are less than 0.75%, and its average relative error is reduced by 56% compared with the traditional diffraction method.
    a=lλδx,(1)

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    sinθm=λαmπa,(2)

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    sinθn=sinθm+nλd,(3)

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    2x=2l1tanθm+2l2tanθn,(4)

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    x=l1tan(arcsinλαmπa)+l2tan[arcsin(λαmπa+nλd)].(5)

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    x0=(l1+l2)tan(arcsinλαmπa).(6)

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    β=xx0=l1tan(arcsinλαmπa)+l2tan[arcsin(λαmπa+nλd)](l1+l2)tan(arcsinλαmπa).(7)

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    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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