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Proceedings Paper

Expansion of scattered phase matrix based on Zernike polynomials
Author(s): Haishui Ye; Zhishan Gao; Qianwen Wang; Kexin Bao; Xiaowei Yang
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Paper Abstract

There exists three variables in the radiative transfer equation based on dynamic energy conservation, including polar angle, azimuth angle and normalized penetrate depth. In order to solute this equation with double integral on polar angle and azimuth angle, the first step is to introduce proper method to isolate azimuthal dependency from polar angle. In this paper, we propose a novel phase matrix expansion with Zernike polynomials, which represents the probability of scattering events. The results show that it can provide a new improved strategy for the solution of radiative transfer equations in Discrete-Ordinate Method (DOM), which is different from commonly used Fourier series and Legendre polynomials expansion and we make conclusion that there are three principles for polynomials’ selection, including orthogonal performance, special theorem for polynomial derivation and triangle function generation.

Paper Details

Date Published: 11 December 2012
PDF: 8 pages
Proc. SPIE 8553, Optics in Health Care and Biomedical Optics V, 85532L (11 December 2012); doi: 10.1117/12.999481
Show Author Affiliations
Haishui Ye, Nanjing Univ. of Science and Technology (China)
Zhishan Gao, Nanjing Univ. of Science and Technology (China)
Qianwen Wang, Nanjing Univ. of Science and Technology (China)
Kexin Bao, Nanjing Univ. of Science and Technology (China)
Xiaowei Yang, Nanjing Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 8553:
Optics in Health Care and Biomedical Optics V
Qingming Luo; Ying Gu; Xingde D. Li, Editor(s)

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