8 October 2015 Influence of phase function approximation on the scattering intensity calculation
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Proceedings Volume 9678, AOPC 2015: Telescope and Space Optical Instrumentation; 967806 (2015) https://doi.org/10.1117/12.2197394
Event: Applied Optics and Photonics China (AOPC2015), 2015, Beijing, China
In this paper, delta-M and delta-fit approximation methods for the scattering phase function in a radiative-transfer equation are reviewed. Radiance in different streams was calculated by a discrete-ordinate algorithm, and the single-variate factor method was used to investigate the influence of phase-function expansion terms on the scattering intensity. The radiance obtained by the delta-M and delta-fit methodologies was compared and discussed under different optical-depth conditions. The results show that, from the aspect of relative error, these two methods come close to standard intensity as optical depth increases, and the bias error of delta-fit is always smaller than that of delta-M for a fixed optical thickness. Delta-fit does well for all of optical depths, whereas delta-M is only good for thick optical depth. From the aspect of absolute error, delta-M is better than delta-fit under small optical depth, whereas the reverse is true when the optical depth is large.
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Shuang Luo, Shuang Luo, Qiu Yin, Qiu Yin, } "Influence of phase function approximation on the scattering intensity calculation", Proc. SPIE 9678, AOPC 2015: Telescope and Space Optical Instrumentation, 967806 (8 October 2015); doi: 10.1117/12.2197394; https://doi.org/10.1117/12.2197394

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