Electrostatic T-matrix for a torus on bases of toroidal and spherical harmonics

  title={Electrostatic T-matrix for a torus on bases of toroidal and spherical harmonics},
  author={Matt Maji{\'c}},
  journal={Journal of Quantitative Spectroscopy and Radiative Transfer},
  • Matt Majić
  • Published 2019
  • Physics, Mathematics
  • Journal of Quantitative Spectroscopy and Radiative Transfer
Abstract Semi-analytic expressions for the static limit of the T-matrix for electromagnetic scattering are derived for a circular torus, expressed in bases of both toroidal and spherical harmonics. The scattering problem for an arbitrary static excitation is solved using toroidal harmonics and the extended boundary condition method to obtain analytic expressions for auxiliary Q and P-matrices, from which the T-matrix is given by their division. By applying the basis transformations between… Expand
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