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Nonlinear Schrödinger Equation for Integrated Photonics
  • +5
  • Kevin Bach Gravesen,
  • Asger Brimnes Gardner,
  • Emil Zanchetta Ulsig,
  • Eric J Stanton,
  • Mikkel Torrild Hansen,
  • Simon Thorndahl Thomsen,
  • Lucas Ahler,
  • Nicolas Volet
Kevin Bach Gravesen

Corresponding Author:[email protected]

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Asger Brimnes Gardner
Emil Zanchetta Ulsig
Eric J Stanton
Mikkel Torrild Hansen
Simon Thorndahl Thomsen
Lucas Ahler
Nicolas Volet


The foundations of nonlinear optics are revisited, and the formalism is applied to waveguide modes. The effect of loss and dispersion are included rigorously along with the vectorial nature of the modes, and a new version of the nonlinear Schrödinger (NLS) equation is derived. This leads to more general expressions for the group index, for the group-index dispersion (GVD), and for the Kerr coefficient. These quantities are essential for the design of waveguides suitable for e.g. the generation of optical frequency combs and all-optical switches. Examples are given using the silicon nitride material platform. Specifically, values are extracted for the coefficients of the chi-3 tensor based on measurements of Kerr coefficients and mode simulations.
29 Dec 2023Submitted to TechRxiv
08 Jan 2024Published in TechRxiv