Algorithm 1009

MieSolver-an object-oriented Mie Series software for wave scattering by cylinders

Stuart C. Hawkins*

*Corresponding author for this work

Research output: Contribution to journalArticle


MieSolver provides an efficient solver for the problem of wave propagation through a heterogeneous configuration of nonidentical circular cylinders. MieSolver allows great flexibility in the physical properties of each cylinder, and the cylinders may have opaque or penetrable cores, as well as an arbitrary number of penetrable layers. The wave propagation is governed by the two-dimensional Helmholtz equation and models electromagnetic, acoustic, and elastic waves. The solver is based on the Mie series solution for scattering by a single circular cylinder and hence is numerically stable and highly accurate. We demonstrate the accuracy of our software with extensive numerical experiments over a wide range of frequencies (about five orders of magnitude) and up to 60 cylinders.
Original languageEnglish
Article number19
Pages (from-to)1-28
Number of pages28
JournalACM Transactions on Mathematical Software
Issue number2
Publication statusPublished - May 2020


  • Mie series
  • Helmholtz equation

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