Linear Schrödinger equation for front-induced transitions close to the band edge

Journal
Proceedings of SPIE  
Volume
11274
Article Number
1127404
Citation
The International Society for Optical Engineering (11274): 1127404 (2020-02)
Contribution to Conference
Physics and Simulation of Optoelectronic Devices XXVIII 2020  
Publisher DOI
10.1117/12.2540478
Scopus ID
2-s2.0-85097647366
A moving refractive index front can induce an indirect transition between states before or after the front. A linear Schrödinger equation can be used to describe the transition of a slowly varying signal envelope at the 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. We also compare the numerical results with the theoretical predictions from the phase continuity criterion.
Subjects
and nonlinear photonics
dynamic manipulation of light
front induced transition
linear Schrödinger equation
signal reflection from a boundary
silicon waveguides