Analytical Representation of the Integral Scattering Cross-Section in the Integrofunctional Discrete Source Method

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 calculat...

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Bibliographic Details
Published inDifferential equations Vol. 58; no. 8; pp. 1064 - 1069
Main Authors Eremin, Yu. A., Zakharov, E. V.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2022
Springer
Springer Nature B.V
Subjects
Absorption cross sections
Difference and Functional Equations
Differential equations
Far fields
Integral Equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Representations
Scattering cross sections
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Summary: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266122080079