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An overview of the methods for deriving recurrence relations for T-matrix calculation.

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Title: An overview of the methods for deriving recurrence relations for T-matrix calculation.
Authors: Doicu, Adrian1, Wriedt, Thomas1,2 thw@iwt.uni-bremen.de, Khebbache, Naima2
Source: Journal of Quantitative Spectroscopy & Radiative Transfer. Feb2019, Vol. 224, p289-302. 14p.
Subjects: Invariant imbedding, T-matrix, Functional equations, Mathematical physics, Superposition (Optics)
Abstract: Highlights • We review the recurrence relations for T-matrix calculation. • It is proved that the recurrence relations of the invariant embedding T-matrix method and the superposition T-matrix method are analytically equivalent. • It is shown that the recurrence schemes of the superposition T-matrix method are morestable than that of the invariant embedding T-matrix method. Abstract In this paper, we present a consistent analysis of the methods dealing with the derivation of recurrence relations for calculation of the T -matrix. Central and forward recurrence relations are obtained in the framework of the invariant embedding T -matrix method, the matrix Riccati equation method, and the superposition T -matrix method. The accuracies and efficiencies of the central and forward recurrence schemes are analyzed, and some implementation issues related to the improvement of the numerical accuracy and to the problem of overcoming of overflow errors are discussed. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:Highlights • We review the recurrence relations for T-matrix calculation. • It is proved that the recurrence relations of the invariant embedding T-matrix method and the superposition T-matrix method are analytically equivalent. • It is shown that the recurrence schemes of the superposition T-matrix method are morestable than that of the invariant embedding T-matrix method. Abstract In this paper, we present a consistent analysis of the methods dealing with the derivation of recurrence relations for calculation of the T -matrix. Central and forward recurrence relations are obtained in the framework of the invariant embedding T -matrix method, the matrix Riccati equation method, and the superposition T -matrix method. The accuracies and efficiencies of the central and forward recurrence schemes are analyzed, and some implementation issues related to the improvement of the numerical accuracy and to the problem of overcoming of overflow errors are discussed. [ABSTRACT FROM AUTHOR]
ISSN:00224073
DOI:10.1016/j.jqsrt.2018.11.029