Abstract
The absorbing boundary condition (ABC) is very common to be used to truncate the computational domain in the hybridizable discontinuous Galerkin (HDG) method. However, if solving waveguide transmission problems with multimode scattering, the ABC is not very applicable due to the wave impedances varying with the frequency. Considering the perfectly matched layers (PMLs) boundary can absorb well the outgoing waves, thus this letter presents a new PML application in the implicit HDG time-domain (imHDGTD) method. For PML and non-PML regions, we need to use different Maxwell equations to generate the global linear system, which leads to a completely different assembling process from ABC. For this, we further give specific technologies. Note that this is the first time that the PML is used in HDG. Compared with the explicit discontinuous Galerkin time-domain method, numerical results show its accuracy and efficient performance, which implies that this method would be very useful.
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