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Discrete dipole approximation in time domain through the Laplace transform.

Patrick C Chaumet1, Ting Zhang1, Adel Rahmani2

  • 1Aix Marseille Université, CNRS, Centrale Marseille, Institut Fresnel, UMR 7249, 13013 Marseille, France.

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We developed a faster discrete dipole approximation for electromagnetic scattering using complex frequencies. This method significantly speeds up computation time and allows extracting fields at resonance frequencies.

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Area of Science:

  • Computational electromagnetics
  • Electromagnetic scattering theory

Background:

  • The discrete dipole approximation (DDA) is a common method for simulating electromagnetic scattering.
  • Time-domain computations can be computationally intensive.

Purpose of the Study:

  • To present an improved discrete dipole approximation for time-domain electromagnetic scattering.
  • To enhance computational efficiency and enable field extraction at resonance frequencies.

Main Methods:

  • Introduction of complex frequencies via the Laplace transform into the DDA.
  • Utilizing the Laplace transform and its inverse for analysis.

Main Results:

  • Significant improvement in computation time for electromagnetic scattering.
  • Successful extraction of the field inside a scatterer at a real resonance frequency.

Conclusions:

  • The complex-frequency DDA offers a substantial speed-up for time-domain scattering problems.
  • This approach provides a novel way to analyze fields at resonance conditions.