Abstract
An analytical expression is obtained for the total scattering cross-section in the discrete source method, which uses the representation of the far field pattern of the scattered field in terms of functions nonorthogonal on the unit sphere. The latter makes it possible to reduce the time of calculating the integral scattering cross-section by an order of magnitude in the numerical implementation. In addition, the use of the optical theorem and analytical expressions for the extinction cross-section permits one to calculate the absorption cross-section without the procedure of integrating the near field over the scatterer surface.
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This work was supported by the Ministry of Science and Higher Education of the Russian Federation within the framework of the program of the Moscow Center for Fundamental and Applied Mathematics under agreement no. 075-15-2022-284.
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Translated by V. Potapchouck
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Eremin, Y.A., Zakharov, E.V. Analytical Representation of the Integral Scattering Cross-Section in the Integrofunctional Discrete Source Method. Diff Equat 58, 1064–1069 (2022). https://doi.org/10.1134/S0012266122080079
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DOI: https://doi.org/10.1134/S0012266122080079