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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]
Copyright of Journal of Quantitative Spectroscopy & Radiative Transfer is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: An overview of the methods for deriving recurrence relations for T-matrix calculation.
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  Data: <searchLink fieldCode="AR" term="%22Doicu%2C+Adrian%22">Doicu, Adrian</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wriedt%2C+Thomas%22">Wriedt, Thomas</searchLink><relatesTo>1,2</relatesTo><i> thw@iwt.uni-bremen.de</i><br /><searchLink fieldCode="AR" term="%22Khebbache%2C+Naima%22">Khebbache, Naima</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Quantitative+Spectroscopy+%26+Radiative+Transfer%22">Journal of Quantitative Spectroscopy & Radiative Transfer</searchLink>. Feb2019, Vol. 224, p289-302. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Invariant+imbedding%22">Invariant imbedding</searchLink><br /><searchLink fieldCode="DE" term="%22T-matrix%22">T-matrix</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+equations%22">Functional equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Superposition+%28Optics%29%22">Superposition (Optics)</searchLink>
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  Data: 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]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Quantitative Spectroscopy & Radiative Transfer is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jqsrt.2018.11.029
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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 289
    Subjects:
      – SubjectFull: Invariant imbedding
        Type: general
      – SubjectFull: T-matrix
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      – SubjectFull: Functional equations
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      – SubjectFull: Mathematical physics
        Type: general
      – SubjectFull: Superposition (Optics)
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              Text: Feb2019
              Type: published
              Y: 2019
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