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• W3100482807 abstract "We have established an iterative scheme to calculate with 15-digit accuracy the numerical values of Ambartsumian-Chandrasekhar's H-functions for anisotropic scattering characterized by the four-term phase function: the method incorporates some advantageous features of the iterative procedure of Kawabata (2015) and the double-exponential integration formula~(DE-formula) of Takahashi and Mori (1974), which proved highly effective in Kawabata (2016). Actual calculations of the H-functions have been carried out employing 27 selected cases of the phase function, 56 values of the single scattering albedo $varpi_0$, and 36 values of an angular variable $mu(=cos theta)$, with $theta$ being the zenith angle specifying the direction of incidence and/or emergence of radiation. Partial results obtained for conservative isotropic scattering, Rayleigh scattering, and anisotropic scattering due to a full four-term phase function are presented. As a sample application of the isotropic scattering H-function, an attempt is made in Appendix to simulate by iteratively solving the Ambartsumian equation the values of the plane and spherical albedos of a semi-infinite, homogeneous atmosphere calculated by Rogovtsov and Borovik (2016), who employed their analytical representations for these quantities and the single-term and two-term Henyey-Greenstein phase functions of appreciably high degrees of anisotropy, to find that our results are in satisfactory agreement with theirs." @default.
• W3100482807 created "2020-11-23" @default.
• W3100482807 creator A5014843028 @default.
• W3100482807 date "2017-12-01" @default.
• W3100482807 modified "2023-10-01" @default.
• W3100482807 title "15-digit accuracy calculations of Ambartsumian-Chandrasekhar’s H $H$ -functions for four-term phase functions with the double-exponential formula" @default.
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• W3100482807 doi "https://doi.org/10.1007/s10509-017-3218-5" @default.
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