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Electromagnetic scattering for multilayered sphere: Recursive algorithms
Author(s) -
Wu Z. S.,
Wang Y. P.
Publication year - 1991
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/91rs01192
Subject(s) - bessel function , scattering , logarithm , stability (learning theory) , mathematics , logarithmic derivative , physics , mathematical analysis , optics , computer science , machine learning
We have proposed more stable and accurate recursing equations and a computing procedure to calculate scattering coefficients for a multilayered sphere. The procedure involves three logarithmic derivatives of Ricatti‐Bessel functions ψ n ′( z )/ ψ n ( z ), χ n ′( z )/ χ n ( z ), and ξ n ′( z )/ξ n ( z ), as well as the ratio ψ n ( z )/χ n ( z ). The asymptotic behavior, stability, and accuracy of the procedure and scattering coefficients a n and b n are discussed for any complex refractive indices. This procedure can be used for large and small inhomogeneous spherical particles.

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