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

Mahmoud A. Gaafar; Hagen Renner; Alexander Yu. Petrov; Manfred Eich

doi:10.1117/12.2540478

2 March 2020 Linear Schrödinger equation for front-induced transitions close to the band edge

Mahmoud A. Gaafar, Hagen Renner, Alexander Yu. Petrov, Manfred Eich

Proceedings Volume 11274, Physics and Simulation of Optoelectronic Devices XXVIII; 1127404 (2020) https://doi.org/10.1117/12.2540478
Event: SPIE OPTO, 2020, San Francisco, California, United States

Abstract

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.

Citation Download Citation

Mahmoud A. Gaafar, Hagen Renner, Alexander Yu. Petrov, and Manfred Eich "Linear Schrödinger equation for front-induced transitions close to the band edge", Proc. SPIE 11274, Physics and Simulation of Optoelectronic Devices XXVIII, 1127404 (2 March 2020); https://doi.org/10.1117/12.2540478

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