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Techniques for embedding non-linear materials in TLM

Non-linear materials are central to many useful integrated photonics applications. Increasingly complex geometries have to be dealt with in full-wave numerical electromagnetic simulators. In this paper we discuss and present techniques for embedding non-linear material response into one such numerical technique, the Transmission Line Modelling (TLM) Method. We discuss the progression from 1D through to 3D problems using Cartesian geometry as well as the migration to unstructured (triangular, tetrahedral) mesh algorithms.