Abstract
We introduce an efficient Krylov-subspace based operator-exponential approach for solving the Maxwell equations. This solver exhibits excellent stability properties and high-order time-stepping capabilities. The usage of a non-uniform spatial grid facilitates the realization of a high-order spatial discretization in the presence of discontinuous material properties. This ideally complements the time-stepping capabilities of our solver so that many nonlinear wave propagation phenomena and/or coupled system dynamics in complex nano-photonic problems may be treated with high accuracy and efficiency.
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