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We present a generalized Snell's law that governs grey soliton refraction at the interface separating two defocusing Kerr media. The analysis, based on the Helmholtz theory, is valid for arbitrary angles of incidence and reveals that grey solitons undergo either external or internal refraction depending on the soliton contrast parameter.
The slowly varying envelope approximation and the ensuing Galilean boost to a local time frame are near-universal features of conventional scalar pulse models. Here, we will give an overview of our recent progress with a new approach to nonlinear pulse modelling, which is based on a Helmholtz-type formalism.
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