The Generalized Multipole Technique for Light Scattering

Recent Developments

  • Thomas Wriedt
  • Yuri Eremin

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

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Ben Hourahine, Duncan McArthur, Francesco Papoff
    Pages 1-33
  3. Adrian Doicu, Thomas Wriedt
    Pages 35-47
  4. Adrian Doicu, Yuri Eremin, Dmitry S. Efremenko, Thomas Trautmann
    Pages 49-69
  5. Ueli Koch, Jens Niegemann, Christian Hafner, Juerg Leuthold
    Pages 121-145
  6. Akira Matsushima, Toyonori Matsuda, Yoichi Okuno
    Pages 169-220
  7. James E. Richie
    Pages 221-246
  8. Back Matter
    Pages 247-249

About this book


This book presents the Generalized Multipole Technique as a fast and powerful theoretical and computation tool to simulate light scattering by nonspherical particles. It also demonstrates the considerable potential of the method.

In recent years, the concept has been applied in new fields, such as simulation of electron energy loss spectroscopy and has been used to extend other methods, like the null-field method, making it more widely applicable. The authors discuss particular implementations of the GMT methods, such as the Discrete Sources Method (DSM), Multiple Multipole Program (MMP), the Method of Auxiliary Sources (MAS), the Filamentary Current Method (FCM), the Method of Fictitious Sources (MFS) and the Null-Field Method with Discrete Sources (NFM-DS). The Generalized Multipole Technique is a surface-based method to find the solution of a boundary-value problem for a given differential equation by expanding the fields in terms of fundamental or other singular solutions of this equation. The amplitudes of these fundamental solutions are determined from the boundary condition at the particle surface.

Electromagnetic and light scattering by particles or systems of particles has been the subject of intense research in various scientific and engineering fields, including astronomy, optics, meteorology, remote sensing, optical particle sizing and electromagnetics, which has led to the development of a large number of modelling methods based on the Generalized Multipole Technique for quantitative evaluation of electromagnetic scattering by particles of various shapes and compositions. The book describes these methods in detail.


Electron Energy Loss Spectroscopy Modes of Maxwell’s Equations Auxiliary Sources Yasuura's Method Light Scattering by Nonspherical Particles Null-field Method Discrete Sources Method Multiple Multipole Program

Editors and affiliations

  • Thomas Wriedt
    • 1
  • Yuri Eremin
    • 2
  1. 1.Leibniz-Institut für Werkstofforientierte Technologien—IWTBremenGermany
  2. 2.Faculty of Computational Mathematics and CyberneticsLomonosov Moscow State UniversityMoscowRussia

Bibliographic information