@misc{gaafar_linear_schrdinger_2019, author={Gaafar, M.A.,Renner, H.,Petrov, A.Y.,Eich, M.}, title={Linear Schrödinger equation with temporal evolution for front-induced indirect transitions in highly dispersive waveguides}, year={2019}, howpublished = {conference paper: null; null}, doi = {https://doi.org/10.1117/12.2508831}, abstract = {Light propagating in waveguides can be manipulated by a moving refractive index front. A linear Schrödinger equation can be used to describe the interaction of a slowly varying signal envelope with a front. In waveguides with weak dispersion usually spatial evolution of the pulse temporal profile is tracked. However, we show that for waveguides with strong dispersion it is beneficial to track temporal evolution of the pulse spatial profile. Simulation examples close to the band edge of a photonic crystal waveguide are presented.}, note = {Online available at: \url{https://doi.org/10.1117/12.2508831} (DOI). Gaafar, M.; Renner, H.; Petrov, A.; Eich, M.: Linear Schrödinger equation with temporal evolution for front-induced indirect transitions in highly dispersive waveguides. In: Proceedings of SPIE : Integrated Optics: Devices, Materials, and Technologies XXIII. SPIE. 2019. 109211ZI. DOI: 10.1117/12.2508831}}