Influence of phase function approximation on the scattering intensity calculation

Shuang Luo; Qiu Yin

doi:10.1117/12.2197394

8 October 2015 Influence of phase function approximation on the scattering intensity calculation

Shuang Luo, Qiu Yin

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

Abstract

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.

Citation Download Citation

Shuang Luo and 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); https://doi.org/10.1117/12.2197394

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