• Matter and Radiation at Extremes
  • Vol. 4, Issue 2, 25401 (2019)
Longxiao Wang, Yun Wang*, Xianxian Ma, and Weiqian Zhao
Author Affiliations
  • Beijing Key Lab for Precision Optoelectronic Measurement Instrument and Technology, School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China
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    DOI: 10.1063/1.5085863 Cite this Article
    Longxiao Wang, Yun Wang, Xianxian Ma, Weiqian Zhao. Measurement of laser differential confocal geometrical parameters for ICF capsule[J]. Matter and Radiation at Extremes, 2019, 4(2): 25401 Copy Citation Text show less

    Abstract

    A method based on the laser differential confocal principle is proposed for measurement of the uniformity of the inner and outer radius and shell thickness for an inertial confinement fusion (ICF) capsule. Firstly, this method uses the laser differential confocal measurement system (LDCS) driven by a precision air-bearing slide to scan and measure radially the outer radius, R, inner radius, r, and shell thickness, T, accurately. Secondly, a precision air-bearing rotation system is used to drive the capsule to rotate an angle, θ, in sequence, and the LDCS is used to measure R, r and T at the corresponding angle. Finally, the uniformity of the ICF capsule’s R, r and T can be calculated by the values of R, r and T measured at the position of each rotation angle. This method provides an approach for achieving high-precision, non-destructive, comprehensive, and rapid measurement of the uniformity of the inner and outer radius and shell thickness of an ICF capsule. Preliminary experiments indicate that measurement precision, using the proposed method for the uniformity of the outer radius, shell thickness and inner radius of the capsule, can reach 7.02 × 10?5, 5.87 × 10?4 and 6.52 × 10?5, respectively.
    I(u,uM)=|1π02π01ejρ2(u+uM/2)ρdρdθ|2|1π02π01ejρ2(u-uM/2)ρdρdθ|2=[sin((2u+uM)/4)(2u+uM)/4]2[sin((2uuM)/4)(2uuM)/4]2,(1)

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    u=2πλNA2Z, and uM=2πλNA12M.(2)

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    ΔOi=e[cos(φ2πiN)cosφ],(3)

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    ΔCi=asin{φπiNarcsin[tan(πiNφ)ΔOia]}sin(φπiN)a.(4)

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    Ti=0arcsin(NA)Ti(n,Ri,ti,β)dβarcsin(NA),(5)

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    ri=RiTi,(6)

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    ti=(ZBi+ΔCBi)(ZAi+ΔCAi),(7)

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    Ti=Ri+nairnsinβ(tiRi)sin(β+arcsin(tiRiRisinβ)arcsin(nairntiRiRisinβ)).(8)

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    ξR=(1RmaxRminRavg)×100%.(9)

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    ξT=(1TmaxTminTavg)×100%.(10)

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    ξr=(1rmaxrminravg)×100%.(11)

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    Longxiao Wang, Yun Wang, Xianxian Ma, Weiqian Zhao. Measurement of laser differential confocal geometrical parameters for ICF capsule[J]. Matter and Radiation at Extremes, 2019, 4(2): 25401
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