Uncovering spatio-temporal patterns in semiconductor superlattices by efficient data processing tools Articles uri icon

publication date

  • September 2021

start page

  • 035303-1

end page

  • 035303-19

issue

  • 3

volume

  • 104

International Standard Serial Number (ISSN)

  • 2470-0053

Electronic International Standard Serial Number (EISSN)

  • 2470-0045

abstract

  • Time periodic patterns in a semiconductor superlattice, relevant to microwave generation, are obtained upon numerical integration of a known set of drift-diffusion equations. The associated spatio-temporal transport mechanisms are uncovered by applying (to the computed data) two recent data processing tools, known as the higher order dynamic mode decomposition and the spatio-temporal Koopman decomposition. Outcomes include a clear identification of the asymptotic self-sustained oscillations of the current density (isolated from the transient dynamics) and an accurate description of the electric field traveling pulse in terms of its dispersion diagram. In addition, a preliminary version of a novel data-driven reduced order model is constructed, which allows for extremely fast online simulations of the system response over a range of different configurations.