ORIGINAL RESEARCH article
Front. Phys.
Sec. High-Energy and Astroparticle Physics
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1570080
The radiative thickness of the radiative transfer equation using spherical harmonic methods
Provisionally accepted
- Iğdır University, Iğdır, Türkiye
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The radiative transfer equation (RTE) is a way of working out a range of quantities in atmospheric and biological radiative transfer. This equation is based on the assumptions of homogeneous media, anisotropic scattering, steady-state conditions and time independence. Two spherical harmonic methods are used to solve the RTE efficiently: the Legendre polynomial method and the Chebyshev polynomial of the first kind. These methods are chosen for their speed and accuracy. In radiative transfer, photons mostly follow the Henyey-Greenstein scattering phase function. The Anlı-Güngör (AG) scattering phase function has produced similar results to the HG phase function. This study examines whether the AG phase function can be used in the RTE. It compares the results of using the AG and HG phase functions with the two methods. The results show that the solutions are very similar, which means that the AG phase function can be used in radiative transfer systems.
Keywords: Radiative transfer equation, Legendre polynomials, Chebyshev polynomials, Henyey-Greenstein phase function, radiative thickness
Received: 02 Feb 2025; Accepted: 28 Apr 2025.
Copyright: © 2025 Koklu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Halide Koklu, Iğdır University, Iğdır, Türkiye
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