Meshless RPIM modeling of open-structures using PMLs

Meshless methods are emerging as a new class of numerical techniques for modeling complex electromagnetic problems. To apply them to open structures, effective absorbing boundaries need to be developed. In this paper, the perfectly matched layer (PML) absorbing boundary condition is implemented into the meshless radial point interpolation method (RPIM) for accurate meshfree modeling of electromagnetic radiation problems in time-domain. Two benchmark radiating structures, a parallel waveguide and a conical unipole antenna, are presented to validate the effectiveness of the implementation. Comparisons are made between the numerically computed results and the measured results from previous reports and good agreements are found. In contrast to conventional FDTD technique, the RPIM modeling with the PML condition requires much less computational efforts for antenna radiation problems, thanks to its capability of conformal modeling and multi-scale solutions.