A nonconforming SO‐DGTD method with local time‐stepping for the simulation of nanophotonic.

This letter introduces an efficient shift operator discontinuous Galerkin time domain (SO‐DGTD) method with both nonconforming and local time stepping techniques for the simulation of nanophotonic problems. In this method, the constitutive relation of metallic properties is described by introducing the shift operator method (SO) and the relation of electric field and electric displacement can be obtained in the time domain. To make the nanophotonic simulation more efficient, we introduce the non‐conforming technique based on upwind numerical flux to SO‐DGTD method. In addition, we further introduce the local time stepping technique to SO‐DGTD method to improve the computational efficiency for nanophotonic problems with complex structures. Finally, some numerical examples are given to show the accuracy and efficiency of the proposed method. [ABSTRACT FROM AUTHOR]