Propagation of Gaussian beams in the presence of gain and loss

Eva-Maria Graefe, Alexander Rush, Roman Schubert

Research output: Contribution to journalArticle (Academic Journal)

2 Citations (Scopus)
234 Downloads (Pure)

Abstract

We consider the propagation of Gaussian beams in a waveguide with gain and loss in the paraxial approximation governed by the Schr\"odinger equation. We derive equations of motion for the beam in the semiclassical limit that are valid when the waveguide profile is locally well approximated by quadratic functions. For Hermitian systems, without any loss or gain, these dynamics are given by Hamilton's equations for the center of the beam and its conjugate momentum. Adding gain and/or loss to the waveguide introduces a non-Hermitian component, causing the width of the Gaussian beam to play an important role in its propagation. Here we show how the width affects the motion of the beam and how this may be used to filter Gaussian beams located at the same initial position based on their width.
Original languageEnglish
Article number5000906
Number of pages5
JournalIEEE Journal of Selected Topics in Quantum Electronics
Volume22
Issue number5
Early online date21 Apr 2016
DOIs
Publication statusPublished - 1 Sep 2018

Keywords

  • quant-ph
  • physics.optics

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