Abstract
The theoretical foundation of the invariant imbedding \(\mathbf {T}\)-matrix method is revised. We present a consistent analysis of the method, show the connection with the superposition \(\mathbf {T}\)-matrix method, and derive new recurrence relations for \(\mathbf {T}\)-matrix calculation. The first recurrence is a numerical method for integrating the Riccati equations by using the Pade approximation to the matrix exponential, while the second one relies on an integral-matrix approach.
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Doicu, A., Wriedt, T. (2018). The Invariant Imbedding T Matrix Approach. In: Wriedt, T., Eremin, Y. (eds) The Generalized Multipole Technique for Light Scattering. Springer Series on Atomic, Optical, and Plasma Physics, vol 99. Springer, Cham. https://doi.org/10.1007/978-3-319-74890-0_2
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DOI: https://doi.org/10.1007/978-3-319-74890-0_2
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