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Pole Location in GMT

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The Generalized Multipole Technique for Light Scattering

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 99))

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Abstract

This chapter begins with an overview of the variety of methods and techniques used to choose discrete pole locations in the family of Generalized Multipole Techniques (GMT). The heuristic rules and guidelines that are described are often quite successful. In addition, studies of the performance of GMT methods for canonical problems are reviewed. It has been shown that there are at least two sources of error when using GMT: analytically-based error and numerically-based error. The effective spatial bandwidth (EBW) of fields along the boundary of scatterers is described and used to show the conditions necessary to obtain stable solutions from GMT techniques. The EBW for two-dimensional circular boundaries is applied to some examples. In addition, an extension of EBW for non-circular boundaries is described and applied to elliptically shaped boundaries.

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Author information

Authors and Affiliations

  1. Marquette University, Milwaukee, WI, USA

    James E. Richie

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  1. James E. Richie
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Correspondence to James E. Richie .

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Editors and Affiliations

  1. Leibniz-Institut für Werkstofforientierte Technologien—IWT, Bremen, Germany

    Thomas Wriedt

  2. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia

    Yuri Eremin

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Richie, J.E. (2018). Pole Location in GMT. 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_9

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