Linear Schrödinger equation with temporal evolution for front-induced indirect transitions in highly dispersive waveguides

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

doi:10.1117/12.2508831

4 March 2019 Linear Schrödinger equation with temporal evolution for front-induced indirect transitions in highly dispersive waveguides

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

Author Affiliations +

Proceedings Volume 10921, Integrated Optics: Devices, Materials, and Technologies XXIII; 109211Z (2019) https://doi.org/10.1117/12.2508831
Event: SPIE OPTO, 2019, San Francisco, California, United States

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.

Citation Download Citation

Mahmoud A. Gaafar, Hagen Renner, Alexander Yu. Petrov, and Manfred Eich "Linear Schrödinger equation with temporal evolution for front-induced indirect transitions in highly dispersive waveguides", Proc. SPIE 10921, Integrated Optics: Devices, Materials, and Technologies XXIII, 109211Z (4 March 2019); https://doi.org/10.1117/12.2508831

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