The MLFMA Equipped with a Hybrid Tree Structure for the Multiscale EM Scattering

Abstract EN

We present an efficient strategy for reducing the memory requirement for the near-field matrix in the multilevel fast multipole algorithm (MLFMA) for solving multiscale electromagnetic (EM) scattering problems.

A multiscale problem can obviously lower the storage efficiency of the MLFMA for the near-field matrix.

This paper focuses on overcoming this shortcoming to a certain extent.

A hybrid tree structure for the MLFMA that possesses two kinds of bottom-layer boxes with different edge sizes will be built to significantly reduce the memory requirement for the near-field matrix in the multiscale case compared with the single-tree-structure technique.

Several numerical examples are provided to demonstrate the efficiency of the proposed scheme in the multiscale EM scattering.