Premium
Modeling of ultrashort pulse propagation in lossy nonlinear metamaterials
Author(s) -
Tsitsas Nikolaos L.,
Porfyrakis Polykarpos,
Frantzeskakis Dimitri J.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3987
Subject(s) - metamaterial , lossy compression , dissipative system , nonlinear system , dissipation , pulse (music) , dielectric , ultrashort pulse , mathematical analysis , exponential function , mathematics , physics , optics , quantum mechanics , laser , statistics , detector
Wave propagation in lossy nonlinear metamaterials is analytically investigated by means of perturbation methods. In the left‐handed band of the nonlinear metamaterial, a higher‐order nonlinear Schrödinger equation is obtained, while in the frequency band gap, a dissipative short‐pulse equation is derived. In both cases, dissipation is described by linear terms, which lead to an exponential decay of the solutions. The decay rates, that is, the inverses of the linear loss coefficients in these two models, are found in terms of the dielectric and magnetic properties of the metamaterial. Copyright © 2016 John Wiley & Sons, Ltd.