Berenger's Split-Field Perfectly Matching Layer (BS-PML) for Numerical Mode Matching (NMM) Solutions in Lossless Media

Abstract

In this letter, a Berenger's split-field perfectly matching layer (BS-PML) as an absorbing boundary condition for solutions of the two-dimensional numerical mode matching (NMM) method has been proposed to model the field in media involving lossless layers instead of the traditional truncated boundary condition. The proposed method guarantees the proper absorbing boundary conditions for NMM models and then the accurate numerical solutions for the fields. The characteristic of a cylindrical wave incoming to PML has been derived. Furthermore, the strategy in setting parameters of the PML in an NMM model has been presented. Finally, the accuracy of the NMM solutions resulted from the BS-PML boundary condition and the traditional truncated boundary condition has been compared and discussed.