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Simulation of photonic crystals, where the finite-difference time-domain method has proved to be an important tool, has become of increasing importance over the last few years. Thanks to new developments in the finite-difference time-domain method, simulations can now be done a lot faster and far more memory efficient. The main idea is to create a generalized subcell model of a small subdomain. This is created from a subgridded subdomain model that is reduced in size using a reduced order modeling algorithm. Once this model has been generated in advance it can be used easily in the FDTD updating scheme. Here we make a model of a dielectric rod and use it to efficiently simulate photonic crystals.