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Proceedings Paper

Linear Schrödinger equation for front-induced transitions close to the band edge
Author(s): Mahmoud A. Gaafar; Hagen Renner; Alexander Yu. Petrov; Manfred Eich
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Paper 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.

Paper Details

Date Published: 2 March 2020
PDF: 6 pages
Proc. SPIE 11274, Physics and Simulation of Optoelectronic Devices XXVIII, 1127404 (2 March 2020); doi: 10.1117/12.2540478
Show Author Affiliations
Mahmoud A. Gaafar, Hamburg Univ. of Technology (Germany)
Menoufia Univ. (Egypt)
Hagen Renner, Hamburg Univ. of Technology (Germany)
Alexander Yu. Petrov, Hamburg Univ. of Technology (Germany)
ITMO Univ. (Russian Federation)
Manfred Eich, Hamburg Univ. of Technology (Germany)
Institute of Materials Research, Helmholtz- Zentrum Geesthacht, Max-Planck-Strasse (Germany)

Published in SPIE Proceedings Vol. 11274:
Physics and Simulation of Optoelectronic Devices XXVIII
Bernd Witzigmann; Marek Osiński; Yasuhiko Arakawa, Editor(s)

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