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Simulation of nonlinear photonic crystals by modified finite difference frequency domain method

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Abstract

In certain nonlinear crystals the application of advanced domain poling techniques enabled the fabrication of two dimensional patterns of the sign of the nonlinear dielectric susceptibility: this technique is the generalization of quasi phase matching, which is widely used nowadays to enhance second harmonic generation (SHG). We have worked out a true vectorial numerical method for the simulation of SHG by extending the Finite Difference Frequency Domain method (FDFD). Our nonlinear method (NL-FDFD) operates directly on the electromagnetic fields, uses two meshes for the simulation (for ω and 2ω fields) and handles the nonlinear coupling as an interaction between the two meshes. Final field distributions can be obtained by a small number of iteration steps. NL-FDFD can be applied in arbitrarily structured linear media with an arbitrarily structured χ(2) component both in the small conversion efficiency and the depleted pump case.

© 2018 The Author(s)

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