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Tensor Expansions of the Angular Particle Distribution

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Abstract

We establish a relation between the class of symmetric spherical tensors and even/odd polynomials. The expansions of the scattering operator of photons or neutrons in a series of symmetric spherical tensors are obtained. Among them are expansions that have a higher rate of uniform convergence in comparison with expansions in spherical functions and Legendre polynomials. It is shown that, in problems of radiation transport in a substance with predominant forward or backward scattering, it is advisable to use expansions in the system of Chebyshev polynomials and tensors.

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Funding

This work was supported by the Russian Science Foundation, project no. 14-11-00699.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    A. V. Shilkov

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  1. A. V. Shilkov
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Correspondence to A. V. Shilkov.

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Translated by I. Tselishcheva

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Shilkov, A.V. Tensor Expansions of the Angular Particle Distribution. Math Models Comput Simul 12, 883–896 (2020). https://doi.org/10.1134/S2070048220060150

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  • DOI: https://doi.org/10.1134/S2070048220060150

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