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Computing the T-matrix of a scattering object with multiple plane wave illuminations.

Martin Fruhnert1, Ivan Fernandez-Corbaton2, Vassilios Yannopapas3

  • 1Institute of Theoretical Solid State Physics, Karlsruhe Institute of Technology, Wolfgang-Gaede-Strasse 1, 76131 Karlsruhe, Germany.

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Calculating the T-matrix for complex nanostructures reveals their interaction with light. This method, using plane wave illumination and finite element analysis, provides insights into optical properties and symmetries.

Keywords:
T-matrixmetamaterialsnanoopticsnumericsscattering

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Area of Science:

  • Electromagnetism
  • Nanophotonics
  • Computational Physics

Background:

  • Characterizing light-matter interactions for complex nanostructures is challenging.
  • Traditional methods struggle with arbitrary shapes and multipole excitations.
  • The T-matrix formalism encapsulates all scattering information for an object.

Purpose of the Study:

  • To present a numerical method for calculating the T-matrix of arbitrary objects.
  • To demonstrate the T-matrix's utility in understanding light interactions with nanostructures.
  • To provide an alternative to computationally intensive full-wave solvers.

Main Methods:

  • Numerical calculation of the T-matrix by illuminating objects with multiple plane waves.
  • Analysis of scattered electromagnetic fields.
  • Utilizing the finite element method for efficient field computation.

Main Results:

  • Successfully calculated T-matrices for four relevant optical nanostructures.
  • Demonstrated the T-matrix method's ability to extract scattering cross sections and symmetry information.
  • Showcased advantages over solely relying on full-wave solvers for complex geometries.

Conclusions:

  • The presented method enables efficient and comprehensive characterization of light-nanostructure interactions.
  • T-matrix calculations offer valuable insights into optical properties and symmetries of complex objects.
  • This approach enhances the study of advanced optical nanostructures.