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Proceedings Paper

Improved algorithm of ray tracing in ICF cryogenic targets
Author(s): Rui Zhang; Yongying Yang; Tong Ling; Jiabin Jiang
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Paper Abstract

The high precision ray tracing inside inertial confinement fusion (ICF) cryogenic targets plays an important role in the reconstruction of the three-dimensional density distribution by algebraic reconstruction technique (ART) algorithm. The traditional Runge-Kutta methods, which is restricted by the precision of the grid division and the step size of ray tracing, cannot make an accurate calculation in the case of refractive index saltation. In this paper, we propose an improved algorithm of ray tracing based on the Runge-Kutta methods and Snell's law of refraction to achieve high tracing precision. On the boundary of refractive index, we apply Snell's law of refraction and contact point search algorithm to ensure accuracy of the simulation. Inside the cryogenic target, the combination of the Runge-Kutta methods and self-adaptive step algorithm are employed for computation. The original refractive index data, which is used to mesh the target, can be obtained by experimental measurement or priori refractive index distribution function. A finite differential method is performed to calculate the refractive index gradient of mesh nodes, and the distance weighted average interpolation methods is utilized to obtain refractive index and gradient of each point in space. In the simulation, we take ideal ICF target, Luneberg lens and Graded index rod as simulation model to calculate the spot diagram and wavefront map. Compared the simulation results to Zemax, it manifests that the improved algorithm of ray tracing based on the fourth-order Runge-Kutta methods and Snell's law of refraction exhibits high accuracy. The relative error of the spot diagram is 0.2%, and the peak-to-valley (PV) error and the root-mean-square (RMS) error of the wavefront map is less than λ/35 and λ/100, correspondingly.

Paper Details

Date Published: 31 October 2016
PDF: 8 pages
Proc. SPIE 10021, Optical Design and Testing VII, 1002111 (31 October 2016); doi: 10.1117/12.2245324
Show Author Affiliations
Rui Zhang, Zhejiang Univ. (China)
Yongying Yang, Zhejiang Univ. (China)
Tong Ling, Zhejiang Univ. (China)
Jiabin Jiang, Zhejiang Univ. (China)

Published in SPIE Proceedings Vol. 10021:
Optical Design and Testing VII
Yongtian Wang; Tina E. Kidger; Kimio Tatsuno, Editor(s)

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