Novel subgridding technique for the analysis of optical devices

A novel subgridding algorithm for the Method of Lines is presented. It enables to refine a mesh in subgridded regions by any positive integer number. High-accuracy of the proposed algorithm is achieved by second-order finite difference operators. The interpolation of the missing field components at the interface coarse/fine grid is performed with second-order accuracy as well. Numerical results are provided to check the accuracy of the proposed formulation.